Math competitions
AMC 8-style practice test
25 original multiple-choice problems with an optional 40-minute practice session.
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Math worksheet library
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1049 worksheets
Math competitions
AMC 10-style practice problems
12 original multiple-choice problems in algebra, geometry, counting, and number theory. A focused practice set, not a full mock exam.
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Math competitions
AMC 12-style practice problems
12 original multiple-choice problems extending to advanced high-school reasoning. A focused practice set, not a full mock exam.
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Math competitions
Math olympiad practice problems
12 original reasoning and proof problems progressing from foundations to challenge, with hints and worked solutions.
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Trigonometry
Sine and Cosine Graphs worksheets
Graph transformed sine and cosine functions or write one valid equation from a graph, using exact radians or degrees.
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Trigonometry
Basic Trigonometric Identities worksheets
Simplify and verify finite reciprocal, quotient, and Pythagorean identity recipes with the original-domain restrictions made explicit.
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Trigonometry
Trigonometric Equations on Bounded Intervals worksheets
Find all exact sine, cosine, and tangent solutions in explicit half-open radian or degree intervals, including simple frequency and phase transformations.
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Advanced math
Exact Unit Circle Trigonometry worksheets
Practice radians, coterminal reduction, quadrants, reference angles, and exact sine, cosine, and tangent values.
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Advanced math
Taylor and Maclaurin Polynomials worksheets
Build exact degree-bounded polynomials for exp, sin, cos, ln near 1, and reciprocal functions near 1.
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Advanced math
Infinite Series Convergence Tests worksheets
Choose and justify nth-term, geometric, p-series, ratio, direct-comparison, and limit-comparison tests.
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Advanced math
2 by 2 Eigenvalues and Eigenvectors worksheets
Solve exact designed 2 by 2 cases with distinct or repeated eigenvalues and valid eigenspace bases.
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Advanced math
Gaussian Elimination and RREF worksheets
Row-reduce exact 3-variable systems with unique, infinite, and inconsistent outcomes and give parametric answers.
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Early addition
Addition within 10
Print addition worksheets with every sum at most 10. Download ready-made practice and answers, or create your own set.
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Growing fluency
Addition within 20
Practice addition with sums up to 20. Get printable worksheets with answers, a worked example and a customizable generator.
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Place value
Two-digit addition without regrouping
Add tens and ones without carrying. Download two-digit addition worksheets and answer keys in Letter or A4, or customize a set.
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Place value
Two-digit addition with regrouping
Practice carrying from ones to tens with two-digit addition worksheets. Includes printable answers, a worked example and custom practice.
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Number recognition
Recognize numbers 0 to 20
Explore one numeral at a time with counting, finding, and open-ended drawing prompts that connect its symbol to its quantity.
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Shapes
Shape recognition
Name thirteen original shapes and notice their sides, corners and curves. Print a compact reference or one large shape per page.
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Shapes
Color the shapes
Follow shape-based directions to find and color selected regions while ignoring nearby shapes that do not match the rule.
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Number recognition
Write numbers 0 to 9
Practice one numeral or the full 0–9 set with large models, guided tracing, and open writing spaces for repeated formation.
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Number recognition
Identify numbers
Practice numerals from a chosen range with ten copy-writing prompts or ten rows of ten numbers for identification. Choose whether values may repeat.
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Number recognition
Place value cut and paste
Build tens and ones with cut-out models, or choose a place-name extension that labels seven digit positions from ones through millions.
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Counting
Biggest and smallest
Compare two to four original objects in each row and circle the uniquely biggest or smallest picture by visible scale.
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Number recognition
Greater than and less than
Compare number pairs, explain which value is greater or less, and place an original neutral greater-than, less-than, or equal symbol between them.
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Counting
Connect the dots
Connect numbers from 1 to 20 or 40 to draw a house, fish, rocket, sailboat, butterfly or tree. Draw an outline or finish a partly drawn picture. Print a ready-made sheet or choose your own settings.
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Counting
Match numbers to objects
Count original object groups from 0 to 9 and draw one clear line from each group to the numeral that names its quantity.
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Number recognition
Match numbers to number words
Match numerals through 30 to their English number words, focusing on meaning and the easily confused teen names.
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Shapes
Match shapes to names
Connect each original shape drawing to its English name, adding individual extra shapes when the core set is secure.
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Money
Match US currency to names
Match $1, $2, $5, $10, $20, $50 and $100 to their English names. Choose labeled teaching tokens or real specimen banknote images.
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Counting
Compare groups to numbers
Count several original picture groups and circle the one whose quantity matches a selected target number from 1 to 20.
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Counting
Count how many
Count original object groups within a chosen 1–20 range and answer on a blank line, writing guide, or number choice.
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Counting
Count tally marks
Read conventional tally groups of five, combine complete groups with leftover marks, and write totals within a selected range from 3 to 60.
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Money
Count US coins
Count pennies, nickels, dimes, quarters and optional half-dollars. Choose tokens or real coin images, six or nine problems, and totals in cents or dollars.
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Money
Custom US coin counting
Choose exact counts of pennies, nickels, dimes, quarters and optional half-dollars in nine rows. Print labeled tokens or real currency pictures.
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Counting
Skip counting
Complete sequences by equal jumps from 2 through 12. Choose three blanks for supported practice, or a compact challenge sheet with only three numbers given in each row.
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Counting
Custom skip counting
Set a start and step for each of ten sequences, including larger jumps and optional advanced negative starting numbers.
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Number recognition
Fill in missing numbers
Complete consecutive counting rows in selected ranges through 100 by writing the numbers hidden from each sequence.
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Patterns
Complete the number series
Restore missing values in ascending or descending consecutive series across chosen positive or advanced negative ranges.
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Patterns
Complete the pattern
Extend shape, color or combined patterns with three- or four-item units. Choose distinct items or repeated shapes and colors, then draw the next item or finish the unit.
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Addition
Add shapes
Join two groups of original shapes, count the combined quantity, and connect the visual model to an addition equation.
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Subtraction
Subtract shapes
Use original shape groups to model taking away, connect the action to a subtraction equation, and find a non-negative result.
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Addition
Add with dots
Solve vertical addition facts through 9 + 9 with a matching loose dot count beside each numeral as a counting aid.
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Addition
Add with dot figures
Add facts with structured dot figures in horizontal or vertical form. Show numeral labels as support, or hide them to practice reading the dot quantities.
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Subtraction
Subtract with dots
Use loose dots to solve subtraction facts. Start with 0–9, or expand the top-number choices to 25 and bottom-number choices to 15.
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Subtraction
Subtract with dot figures
Subtract structured dot figures from 0 to 10 in horizontal or vertical form, with larger and smaller values ordered automatically.
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Subtraction
Subtraction facts table
Study completed subtraction facts for the numbers 1 through 12, including negative differences. Print the tables together or on separate reference pages.
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Subtraction
Single-digit subtraction
Build fluency with vertical subtraction facts using individually selected digit ranges and non-negative differences.
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Subtraction
Subtraction from 0 to 20
Practice vertical subtraction with minuends and subtrahends chosen from zero through twenty and answers kept non-negative.
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Subtraction
Subtraction from 0 to 99
Subtract vertical number pairs drawn from selected ranges through 99, with enough space to show regrouping when needed.
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Subtraction
Subtraction within a chosen number
Generate subtraction facts within a chosen maximum. Standard sets may repeat facts; the three unique-set presets provide distinct problems.
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Subtraction
Subtract with dot figures to 20
Use structured dot arrangements through twenty to compare quantities, take away a part, and connect the model to an equation.
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Subtraction
Two-digit subtraction with fixed endings
Compare two-digit numbers that share selected ending digits, revealing how a common ones part affects the difference.
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Subtraction
Horizontal subtraction
Solve single- or multi-digit subtraction in equation form, including teacher-selected signs and explicit zero inclusion or exclusion.
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Subtraction
Multi-digit subtraction
Subtract two-, three-, or four-digit numbers vertically with configurable regrouping and subtraction across zero.
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Subtraction
Large-number subtraction
Practice vertical subtraction with four-, five-, or six-digit values while maintaining alignment across long place-value columns.
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Subtraction
Two-digit subtraction without regrouping
Subtract one- or two-digit values from two-digit starting numbers when each top digit is large enough for its column.
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Subtraction
Multi-digit subtraction without regrouping
Build accuracy with aligned two-, three-, or four-digit subtraction where every column can be solved without exchanging.
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Subtraction
Horizontal subtraction without regrouping
Solve carefully selected one- and two-digit equations mentally or by place value, with no regrouping required.
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Subtraction
Subtraction across zero
Practice multi-digit subtraction that requires regrouping through one or more zero places without losing place-value meaning.
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Subtraction
Decimal subtraction
Subtract decimal numbers with configurable whole and fractional places while preserving decimal-point alignment.
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Subtraction
Money subtraction
Subtract monetary amounts in vertical form using a selected currency symbol and fixed two-place decimal notation.
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Subtraction
Timed subtraction drills
Practice selected subtraction facts using numbers from 0–27 and 0–20, with a teacher-chosen one-, three-, or five-minute label.
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Subtraction
Advanced subtraction drills
Build a custom drill from fact tables through 15, with selectable problem count and an optional practice-time label.
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Subtraction
Missing-number subtraction
Find an unknown minuend, subtrahend, or difference in horizontal equations using symbols and related addition facts.
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Subtraction
Missing-digit subtraction
Restore hidden digits in vertical multi-digit subtraction by reasoning column by column from the known result.
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Subtraction
Subtract compound units
Subtract feet and inches, pounds and ounces, hours and minutes, minutes and seconds, or yards and quarter-feet using the correct unit exchange.
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Subtraction
Subtract feet and fractional inches
Subtract length measurements written in feet and fractional inches, including teacher-selected fractional precision.
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Subtraction
Subtract with doubles and near doubles
Use known doubles to solve subtraction facts where the starting amount is a double or one or two more than a double.
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Subtraction
Subtraction facts with answers 1 to 10
Practice vertical facts selected so every nonzero difference falls from one through ten, with configurable starting ranges.
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Subtraction
Visual subtraction
Model take-away stories with original geometric groups, visible crossed-out items, equations, and space to record what remains.
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Addition
Addition table grid
Complete a row-and-column addition grid for selected values, then use its patterns to compare related facts and sums.
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Addition
Addition facts table
Study completed addition equations for chosen fact families on a printable reference page with optional color cues.
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Addition
Single-digit addition
Practice vertical addition with individually selected single-digit addends and a clear answer line for each fact.
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Addition
Multi-digit addition
Add two to five addends with one-, two-, three-, or four-digit values in aligned vertical columns.
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Addition
Addition with numbers from 0 to 20
Add two selected operands from zero through twenty; sums may reach forty when both operands are near the top of the range.
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Addition
Addition with numbers from 0 to 99
Add vertical pairs drawn from selected ranges through 99, with space to regroup from ones into tens.
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Addition
Addition within a chosen sum
Practice addition facts whose answers stay within a teacher-chosen maximum, with configurable page lengths for focused work.
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Addition
Add with dot figures to 20
Combine structured dot figures representing values through twenty and connect grouped visual quantities to an equation.
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Addition
Two-digit addition with fixed endings
Add two-digit values chosen from a range with selected final digits, including optional signed-number practice.
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Addition
Horizontal two-addend addition
Add two one- or two-digit values in equation form using selected positive, negative, or mixed signed addends, with an optional zero-operand setting.
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Addition
Three-addend horizontal addition
Combine three selected one- or two-digit signed values in a horizontal equation and use grouping to simplify the work.
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Addition
Four-addend horizontal addition
Add four selected one- or two-digit signed values, pairing compatible addends to reduce mental load.
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Addition
Adding doubles and near doubles
Practice equal addends and related plus-one or plus-two facts within a selected base-number range.
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Addition
Large-number addition
Add two, three, or four values with five, six, or seven digits while maintaining alignment across long columns.
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Addition
Multi-digit addition without regrouping
Add values with selected digit lengths, up to four digits, whose column totals remain below ten on the ready-made worksheet.
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Addition
Money addition
Add two, three, or four amounts in a selected currency using whole units and two decimal places.
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Addition
Money addition without regrouping
Add two or three currency amounts whose selected columns either avoid regrouping or follow the chosen regrouping setting.
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Addition
Adding US coin values
Count selected pennies, nickels, dimes, and quarters shown as original labeled teaching tokens, with configurable quantity limits.
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Addition
Timed addition drills
Practice selected addition facts in a one-, three-, or five-minute format, with timing available as an optional teacher tool.
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Addition
Advanced addition drills
Build a custom high-volume drill from selected addition fact tables, counts, and optional practice-time labels.
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Addition
Missing-addend addition
Find an unknown first or second addend in horizontal equations with selectable blank symbols.
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Addition
Missing addends in different formats
Solve horizontal missing-addend equations with the sum on either side of the equals sign and either addend missing.
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Addition
Missing addends to multiples of ten
Find the amount needed to reach 10, 100, or 1,000, including optional decimal variants for place-value reasoning.
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Addition
Missing-digit addition
Restore hidden digits in vertical addition by using column totals, regrouping evidence, and the known sum.
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Addition
Add compound units
Add feet and inches, pounds and ounces, hours and minutes, minutes and seconds, or yards and quarter-feet using the correct unit conversion.
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Addition
Add feet and fractional inches
Combine measurements in feet and inches, including fractional inches from selected denominator families through sixty-fourths.
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Addition
Adding decimals
Print adding decimals worksheets with a separate answer key. Choose two, three or four addends, one to three decimal places and aligned vertical working.
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Addition
Place-value addition patterns
Solve linked groups of one-digit and two-digit equations to see how place value transforms a known addition fact.
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Addition
Visual addition
Combine two picture groups and connect the counted quantities to a written addition equation and sum.
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Addition
Mixed-digit multi-addend addition
Add two, three, four, or five values with independently selected one- through four-digit widths in vertical form.
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Addition
Large mixed-digit addition
Add two, three, or four mixed-width values with five-, six-, or seven-digit selections and multiple regrouping steps.
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Addition
Adding doubles with dots
Use paired dot groups to model doubles, doubles plus one, and doubles plus two, with an optional visual for the answer.
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Addition
Addition with selected regrouping columns
Practice vertical addition where regrouping occurs in teacher-selected place-value columns and nowhere else.
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Addition
Large horizontal addition
Add signed three- or four-digit values in horizontal form using place-value, compensation, or a vertical rewrite.
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Multiplication
Multiplication facts charts
Read selected multiplication fact families on a printable reference chart and use nearby products to explain useful fact patterns.
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Multiplication
Multiplication area chart
Compare rectangles whose side lengths grow with their factors, connecting proportional dimensions to the product represented by each area.
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Multiplication
Multiplication table grid
Complete a two-way multiplication grid for selected row and column factors, with optional blanks for focused recall practice.
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Multiplication
Times-table drills
Practice one selected multiplication table in a compact format after the underlying equal-group facts are understood.
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Multiplication
Advanced multiplication drills
Build a high-volume practice page from deliberately selected ordered facts, counts, and optional practice-time labels.
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Multiplication
Multiplication target circles
Solve six related facts around a known center factor, alternating between missing inner factors and missing products.
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Multiplication
Single-digit multiplication
Practice selected single-digit factors in vertical form with space to record each product and check it with a known strategy.
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Multiplication
Multiplication with factors from 0 to 12
Multiply factors selected from zero through twelve, including zero, identity, square, and upper-table facts on one configurable page.
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Multiplication
Multi-digit multiplication
Create double digit multiplication worksheets with the two-digit by two-digit preset, or practice other factor lengths. Ready-made sheets use two digits by one digit, with room for partial products.
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Multiplication
Horizontal multiplication
Multiply one- or two-digit factors in equation form. Practice two positive factors, two negative factors, opposite signs, or independently selected signs.
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Multiplication
Timed multiplication drills
Practice already understood multiplication facts in short one-, three-, or five-minute formats with an optional timing label.
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Multiplication
Missing-factor multiplication
Find an unknown first or second factor from a known factor and product, using a selectable blank symbol.
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Multiplication
Missing factors in different formats
Solve missing-factor equations with the product on either side of the equals sign and either factor hidden.
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Multiplication
Multiplying decimals
Create multiplying decimals worksheets with tenths or hundredths, adjustable whole-number width, 12–25 vertical problems, exact products, and answer keys.
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Multiplication
Multiply by multiples of ten
Multiply whole numbers by values such as 20, 300, or 4,000 using place-value decomposition rather than a zero-counting shortcut alone.
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Multiplication
Selected multiples multiplication
Multiply a two-, three-, or four-digit number by selected multiples of 10, 100, and 1,000.
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Multiplication
Money multiplication
Multiply an exact unit price by a whole-number quantity using configurable currency symbols and decimal place-value reasoning.
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Multiplication
Multiplication arrays
Count structured rows and columns in original shape arrays and connect each arrangement to a multiplication equation.
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Multiplication
Commutative multiplication arrays
Compare an array with its turned orientation to show that reversing the factors preserves the total number of objects.
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Multiplication
Multiplication and division array facts
Use one rectangular array to write two multiplication equations and two related division equations.
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Multiplication
Draw multiplication arrays
Create a rectangular array for given row and column counts, then label the model with its equation and product.
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Multiplication
Array word problems
Translate original equal-row stories into arrays, multiplication equations, and answers with consistent real-world units.
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Multiplication
Multiplication with factors from 0 to 99
Multiply selected one- and two-digit whole-number factors from zero through ninety-nine in vertical practice sets.
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Division
Divisibility rules
Use a printable reference for divisibility by 2, 3, 4, 5, 6 and 9, then explain why a number passes a particular test.
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Division
Divisibility tests
Test whole numbers against the fixed set of divisors 2, 3, 4, 5, 6 and 9, recording every rule that the number satisfies.
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Division
Divisibility with chosen divisors
Focus divisibility practice on selected divisors from 2 through 12 and determine which of them divide each whole number exactly.
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Division
Division facts tables
Read completed division tables for 1 through 12 as a reference for equal groups and the inverse relationship with multiplication.
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Division
Single- and multi-digit division facts
Build exact division practice by selecting divisor and quotient values from 1 through 12, with dividends determined by their products.
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Division
Long division
Practice the written division algorithm with selected divisor and quotient widths, including exact divisions and remainder or fractional answers.
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Division
Short division
Divide by selected single-digit divisors using a compact written method, carrying each remaining amount into the next place.
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Division
Dividing decimals
Print dividing decimals worksheets with whole-number or decimal divisors. Choose small operands, exact noninteger decimal answers, or rounding to 0–3 decimal places, with a separate answer key.
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Division
Division by a decimal divisor
Divide by a decimal divisor in problems with exact whole-number quotients, using an equivalent calculation with a whole-number divisor.
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Division
Three-digit decimal division
Divide decimal amounts expressed in hundredths by a selected single-digit divisor, using exact answers or stopping at hundredths and recording the remaining amount.
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Division
Division with mixed quotient types
Divide whole-number operands to obtain a selected mixture of whole-number, one-decimal-place and two-decimal-place quotients.
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Division
Timed division drills
Practice familiar division facts in a timed format with a selected answer range, then use mistakes to guide the next untimed review.
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Division
Division times-table drills
Focus a division drill on one selected divisor and use its multiplication table to recover each quotient.
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Division
Missing-number division
Recover the missing value in a division equation by identifying its role and using the inverse multiplication relationship.
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Division
Signed division
Divide signed integers exactly using custom facts or a preset divisor-and-quotient magnitude range. The dividend is derived from their product and may have more digits.
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Division
Equivalent division formats
Rewrite the same division relationship in horizontal, fraction and long-division notation while keeping each operand in its correct role.
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Division
Horizontal and long division
Solve the same division fact shown side by side in horizontal and long-division notation, using selected single-digit divisors.
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Comparing numbers
Compare integers
Compare positive or negative integers with <, > or =, using a focused digit width, numbers from 1 to 20, or selected mixed widths.
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Comparing numbers
Comparing fractions
Print a 20-question comparing fractions worksheet with exact <, > and = problems. Choose positive, mixed-sign or negative values and optional denominators through 12.
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Comparing numbers
Compare decimals
Compare decimal values displayed with one to three decimal places, including equal values, close pairs and changes in place value.
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Comparing numbers
Compare fractions and decimals
Compare a displayed fraction with a finite decimal, preserving exact values even when the fraction has a recurring decimal expansion.
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Comparing numbers
Compare arithmetic expressions
Evaluate a short arithmetic expression on each side, then compare the results. Practice one operation, opposite operators, a full addition-and-subtraction mix or all four operations.
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Comparing numbers
Compare US coin values
Total two U.S. coin collections and compare their values. Choose labeled teaching tokens or real pictures of pennies, nickels, dimes and quarters.
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Comparing numbers
Compare shape groups
Count two groups of matching shapes and circle the group with more or fewer objects, with maximum quantities of 9, 10 or 12.
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Comparing numbers
Order whole numbers
Order four distinct whole numbers in ascending or descending order, recording their digits in a six-column place-value grid.
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Place value
Scientific notation worksheets
Choose 20 conversion questions or an optional English 10-task understanding lesson with coefficient normalization, misconception checks and a separate reasoning key.
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Place value
Mystery number worksheets
Find a three- to seven-digit number from shuffled place-value clues. Five complete puzzles per sheet, optional zero digits and a separate key.
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Place value
Mixed place-value puzzle worksheets
A twenty-question review combining digit rearrangement, number words, comparison, place names and digit lookup. Select whole places through millions and decimal places through ten-thousandths.
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Place value
Rearranging digits worksheets
Build the largest and smallest numbers using every digit exactly once. Choose three to seven digits or selected mixed widths, with optional zeros and twenty questions.
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Place value
Adding commas and digit-group separators worksheets
Group large whole numbers in threes from the right. Practice 4–15 digits or mixed widths, with fifteen questions and an answer key using the chosen print language’s separators.
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Place value
Write whole numbers in words worksheets
Read numerals and write their number names. Choose 2–12 digits or mix selected widths, including thousands, millions and billions. Ten questions with a separate key.
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Place value
Write decimals in words worksheets
Write decimal names using tenths, hundredths or thousandths. Keep one whole-number digit and choose 1–3 decimal places, with ten unique values and answers.
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Place value
Write numbers from words worksheets
Convert whole-number names into numerals. Practice 3–12 digits or selected mixed widths, preserving empty places across thousands, millions and billions.
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Place value
Write decimals from words worksheets
Convert fractional-unit names into decimal notation. Choose tenths, hundredths or thousandths and practice ten values with one whole digit and a separate key.
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Place value
Match numbers and word names worksheets
Match ten whole numbers to an A–J word bank. Choose 3–12 digits or mixed widths, including billions, with a shuffled bank and letter answers.
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Place value
Match decimals and word names worksheets
Match ten decimals to their fractional-unit word names. Start with hundredths or choose tenths and thousandths, with a complete A–J bank and separate letter key.
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Place value
Place and value worksheets for whole numbers
Name the position of an underlined digit and write its value. Choose 3–10 digit whole numbers, with or without zero digits, and print ten questions with answers.
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Place value
Place and value worksheets for decimals
Identify whole and fractional places in decimal numbers. Choose 4–6 whole digits and 1–4 decimal places, then name each marked position and write its value.
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Place value
Place and value worksheets for money
Connect place value with US dollar amounts. Identify the marked position and its dollar value, using 3–6 whole-number digits and exactly two cents digits.
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Place value
Expanded form worksheets for whole numbers
Break whole numbers into a sum of place values. Choose 2–12 digits or mix selected widths, including numbers through hundred billions.
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Place value
Standard form worksheets for whole numbers
Combine expanded sums into whole numbers. Practice fixed widths from 2 to 12 digits or selected mixed widths with an optional zero-digit challenge.
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Place value
Expanded notation worksheets for whole numbers
Practice both directions of digit-times-place notation. Expand whole numbers into products, then turn products back into numerals, using 2–12 digits.
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Place value
Expanded form worksheets for decimals
Decompose decimals into whole and fractional place values. Choose two or three whole-number digits and tenths, hundredths or thousandths.
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Place value
Standard form worksheets for decimals
Rebuild decimals from place-value sums. Practice tenths through thousandths with two or three whole-number digits and optional zero digits.
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Place value
Expanded notation worksheets for decimals
Expand decimals into digit-times-place products and reverse the process. Select 2–4 whole-number digits, 1–3 decimal places, and whether zero digits may appear.
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Place value
Base-ten block worksheets
Count original unit cubes, ten-rods, hundred-flats and thousand-cubes. Choose the active places and block counts, then record each count and the whole-number total.
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Place value
Whole-number place-value chart
Read the twelve whole-number places from hundred billions through ones. A fixed example, 123,456,789,012, connects each digit with its place and the full number name.
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Place value
Place-value chart with decimals
Connect twelve whole-number places with five fractional places, through hundred-thousandths. The fixed example 123,456,789,012.34567 includes a complete number reading.
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Sequences and series
Arithmetic sequences worksheets
Identify arithmetic sequences, find common differences, evaluate specified terms and write explicit formulas with integer or tenths practice.
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Sequences and series
Geometric sequences worksheets
Identify geometric sequences, find common ratios, evaluate specified terms and write explicit formulas with integer or tenths first terms.
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Sequences and series
Comparing arithmetic and geometric sequences worksheets
Classify sequences from four terms or a formula as arithmetic, geometric or neither, with twelve questions and a separate answer key.
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Sequences and series
Arithmetic series worksheets
Sum finite arithmetic lists, evaluate sigma notation and find the number of terms from a first term, last term and total. Choose integers or tenths.
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Sequences and series
Finite geometric series worksheets
Sum geometric lists, evaluate finite sigma notation and find the number of terms from a first term, last term and total. Choose integers, tenths or mixed practice.
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Sequences and series
Infinite geometric series worksheets
Decide convergence or divergence, find infinite geometric sums and determine common ratios from terms, sigma notation or first-term and total givens. Choose fractions or decimals.
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Sequences and series
General series worksheets
Expand sigma notation into finite sums, evaluate polynomial and exponential series, and rewrite sums in sigma notation. Combine the three problem types in twelve-question worksheets.
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Sequences and series
Arithmetic and geometric means worksheets
Insert one, two or three missing terms between endpoints of arithmetic and geometric sequences. Choose positive, negative or mixed numbers with twelve questions and separate answer keys.
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Sequences and series
General sequences worksheets
Continue number patterns, write explicit and recursive sequence formulas, and find the first four terms from a given rule. Practice linear, quadratic and exponential patterns.
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Rational expressions
Adding and subtracting rational expressions worksheets
Practice ten exact sums and differences with common or unlike polynomial denominators, including multivariable monomials, higher-degree binomials and retained domain restrictions.
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Rational expressions
Simplifying rational expressions worksheets
Practice ten exact single-quotient reductions with monomial, binomial or trinomial inputs, complete cancellation and retained original denominator restrictions.
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Rational expressions
Multiplying rational expressions worksheets
Practice ten exact products using monomials, binomial factors and factorable polynomials, with reduced answers and retained original denominator restrictions.
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Rational expressions
Dividing rational expressions worksheets
Practice ten exact quotients with expanded monomials, linear binomials and factorable quadratics, fully reduced answers and all original domain restrictions.
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Rational expressions
Solving rational equations worksheets
Practice ten exact rational equations with monomial or binomial expressions, original-domain restrictions and checked rational solutions.
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Rational expressions
Graphing simple rational functions worksheets
Graph reciprocal functions and their horizontal or vertical shifts on labeled grids, with exact asymptotes, intercepts and reference points in a separate answer key.
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Rational expressions
Graphing general rational functions worksheets
Analyze and graph rational functions whose numerator and denominator each have degree at most 2, including poles, removable holes and horizontal, slant or polynomial end behavior.
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Conic sections
Properties of circles worksheets
Find exact circle centers and positive radii from standard and rearranged general equations using whole numbers, fractions and radicals.
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Conic sections
Writing equations of circles worksheets
Write exact standard-form circle equations from centers, radii, points, diameters, translations, area, circumference and tangent lines.
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Conic sections
Graphing circles worksheets
Read a circle in standard form, find its center and radius, and graph the complete circle on an equal-scale coordinate grid.
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Conic sections
Properties of ellipses worksheets
Find exact centers, vertices, co-vertices, foci, axis lengths and eccentricity from standard-form ellipse equations.
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Conic sections
Writing equations of ellipses worksheets
Construct exact standard-form ellipse equations from vertices, co-vertices, foci, centers and horizontal widths.
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Conic sections
Graphing ellipses worksheets
Graph standard-form ellipses on equal-scale coordinate grids using exact centers and axial extrema.
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Conic sections
Properties of parabolas worksheets
Find exact vertices, axes, openings, extrema, latus rectum lengths and coordinate intercepts from vertical and horizontal parabola equations.
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Conic sections
Writing equations of parabolas worksheets
Write exact vertical or horizontal vertex-form equations from foci, directrices, intercepts, points or three-point interpolation.
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Conic sections
Graphing parabolas worksheets
Graph unit-coefficient vertical parabolas in vertex form on equal-scale coordinate grids with exact vertices.
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Conic sections
Properties of hyperbolas worksheets
Find exact vertices, foci and opening directions from horizontal and vertical standard-form hyperbola equations.
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Conic sections
Writing equations of hyperbolas worksheets
Construct exact standard-form hyperbola equations from general equations, vertices, foci, conjugate-axis data and asymptotes.
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Conic sections
Graphing hyperbolas worksheets
Graph both visible branches, vertices, construction rectangles and asymptotes on equal-scale coordinate grids.
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Conic sections
Classifying conic sections worksheets
Classify circles, ellipses, parabolas and hyperbolas from standard or general equations, then convert and graph general equations.
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Conic sections
Eccentricity of conic sections worksheets
Find exact eccentricities for circles, ellipses, parabolas and hyperbolas from standard or general equations.
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General functions
Average rate of change from tables worksheets
Find average rates from six function tables. Choose 6 or 12 questions, print Letter or A4, and check each result with a separate worked answer key.
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General functions
Evaluating functions worksheets
Evaluate twelve polynomial and exponential functions. Choose numbers, variable expressions or a mixture, with exact answers and substitution steps.
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General functions
Function operations and composition worksheets
Add, subtract, multiply, divide and compose polynomial functions. Choose numbers, variables or mixed inputs, with ten questions and a separate worked answer key.
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General functions
Difference quotient worksheets
Simplify eight difference quotients with polynomial, factored and rational functions. Choose two inputs or an increment, add a formula reminder and print worked answers.
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General functions
Average rate of change from graphs worksheets
Read four function graphs and estimate their average rates of change. Choose linear, quadratic, cubic, sine or exponential curves, with secants and worked answers.
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General functions
Inverse functions worksheets
Identify inverse pairs or find inverse functions in twelve original questions. Practice linear functions and powers with explicit domains, exact radicals and worked answers.
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General functions
Graphing inverse functions worksheets
Find and graph four inverse functions. Choose fractional or integer linear rules, lines through the origin, quadratic branches and cubic functions, with completed graph keys.
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General functions
Graphing quadratic functions worksheets
Graph four quadratic functions in vertex form on blank coordinate grids. Each sheet includes every leading coefficient from −2, −1, 1 and 2, with a separate completed graph key.
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General functions
Graphing exponential functions worksheets
Graph eight exponential functions or write equations from curves with exact marked points. Compare growth, decay and translations on fixed unit grids with separate answer keys.
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General functions
Graphing logarithmic functions worksheets
Find exact domains and all-real ranges, then graph eight logarithmic functions with vertical asymptotes on fixed square grids. Includes affine arguments, fractional boundaries and separate answer keys.
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General functions
Logarithmic function inverses worksheets
Find inverses in logarithmic, exponential or mixed directions across six exact forms. Every problem prints the real domain needed for a single-valued inverse, with separate exact answer keys.
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General functions
Graphing quadratic inequalities worksheets
Graph four expanded quadratic inequalities on blank coordinate grids. Compare unit and nonunit leading coefficients, both opening directions and all four strict or inclusive relations.
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General functions
Determining functions from mapping diagrams worksheets
Classify eight mapping diagrams as functions or nonfunctions. Choose two to five numeric or letter values on each side, with four of each classification and a separate answer key.
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General functions
Domain and range from ordered pairs worksheets
Find the domain and range of ten five-pair relations. Choose negative or nonnegative coordinates, control repeats independently and optionally classify each relation as a function.
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General functions
Identifying functions from graphs worksheets
Apply the vertical line test to eight finite graph relations. Choose lines, polynomials, special curves, horizontal parabolas or rotated curves, with balanced endpoints and a separate key.
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General functions
Domain and range from graphs worksheets
Read finite domain and range intervals from eight varied relation graphs. Practice open and closed extrema and optionally apply the vertical line test.
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General functions
Graphing radical functions worksheets
Find the domain and range, then graph eight transformed square-root and cube-root functions on unit grids. Choose square roots, cube roots or balanced mixed practice with separate completed graph keys.
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Calculus
Average rate of change over an interval
Find twelve finite-interval rates for quadratic, cubic, rational and natural exponential functions.
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Calculus
Delta y formula worksheets
Find the symbolic change in y for polynomial, rational, composite and trigonometric functions.
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Calculus
Derivative by definition worksheets
Differentiate polynomial, rational, signed-power composite and trigonometric functions from the limit definition.
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Calculus
Derivative-definition limit worksheets
Evaluate exact polynomial, reciprocal-power and trigonometric derivative limits at rational and pi-grid points.
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Calculus
Instantaneous and average rate worksheets
Compare finite-interval and lower-endpoint rates for polynomial, rational and radian trigonometric functions with blank and keyed graphs.
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Calculus
Symbolic Differentials worksheets
Find exact symbolic differentials for polynomial, rational, composite, and trigonometric functions with fully worked rule-specific keys.
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Calculus
Chain Rule worksheets
Differentiate exact powers of polynomial binomials and square roots of odd polynomial powers, keeping each answer in concise factored form.
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Calculus
Power, Constant, and Sum Rules worksheets
Differentiate constants, polynomial sums, reciprocal monomials, and exact rational powers with the original real-domain conditions preserved.
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Calculus
Product Rule worksheets
Differentiate products of two nonzero polynomials with selectable factor size and degree ceilings, then combine like terms exactly.
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Calculus
Quotient Rule worksheets
Differentiate exact polynomial quotients in both degree orientations and retain every restriction from the original denominator.
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Calculus
Power Rule Integration worksheets
Find exact indefinite integrals of polynomial, reciprocal integer-power, and reciprocal rational-power functions while preserving the original real domain.
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Calculus
First Fundamental Theorem worksheets
Evaluate polynomial, reciprocal-power, trigonometric and exponential definite integrals with exact endpoint values.
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Calculus
Second Fundamental Theorem worksheets
Differentiate polynomial accumulation functions with constant, variable, and polynomial bounds using exact chain-rule contributions.
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Calculus
Substitution in definite integrals worksheets
Transform definite integrals with linear and quadratic substitutions, new bounds and exact optional evaluation.
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Calculus
Substitution with the power rule worksheets
Practice indefinite u-substitution with linear and quadratic inner functions and exact positive, negative and fractional powers.
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Calculus
Logarithmic and exponential substitution worksheets
Practice indefinite u-substitution whose primitive is exponential or logarithmic, with polynomial, exponential and logarithmic inner functions.
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Calculus
Substitution with trigonometric functions worksheets
Practice indefinite u-substitution with sine, cosine, tangent, cotangent, secant and cosecant primitives across polynomial and exponential inner functions.
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Calculus
Trigonometric Integration worksheets
Practice six direct trigonometric antiderivative patterns with exact constant coefficients and unit or affine arguments in radians.
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Calculus
Inverse Trigonometric Integration worksheets
Practice six inverse trigonometric antiderivative rules with exact coefficients, scaled affine arguments and strict real domains.
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Calculus
Substitution with inverse trigonometric functions worksheets
Practice indefinite u-substitution into all six inverse-trigonometric integration patterns with polynomial, logarithmic and trigonometric inner functions.
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Calculus
Integration by Parts worksheets
Practice exact integration by parts with polynomial-exponential, polynomial-trigonometric, logarithmic and inverse-trigonometric integrands.
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Calculus
Trigonometric Chain Rule worksheets
Differentiate bounded sine, cosine, tangent, cosecant, secant, and cotangent compositions in radians.
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Calculus
Inverse Trigonometric Chain Rule worksheets
Differentiate bounded inverse-trigonometric compositions with exact radicals, absolute values, and real-domain notes.
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Calculus
Evaluate Derivatives at Points worksheets
Differentiate polynomial, rational, exponential and trigonometric functions, then evaluate exactly at a given point.
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Calculus
Slope at a Point worksheets
Find exact curve slopes at rational and standard-unit-circle points across four function families.
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Calculus
Tangent Line at a Point worksheets
Build exact point-slope tangent equations, including horizontal tangents, for four function families.
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Calculus
Normal Line at a Point worksheets
Build exact perpendicular normal equations, including vertical normals at stationary points.
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Calculus
Limits at Essential Discontinuities worksheets
Evaluate exact one-sided and two-sided limits at rational and trigonometric poles.
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Calculus
Essential Discontinuity Limits from Graphs worksheets
Read signed one-sided and two-sided pole behavior from equations and accurate graphs.
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Calculus
Limits at Jump Discontinuities worksheets
Compare exact left-hand, right-hand and two-sided limits at piecewise junctions.
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Calculus
Jump Discontinuity Limits from Graphs worksheets
Read finite one-sided limits and endpoint values from piecewise graphs.
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Calculus
Simple Limit Evaluation worksheets
Evaluate exact finite-point limits for polynomial, rational, exponential and trigonometric functions.
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Calculus
Trigonometric Removable Discontinuity Limits worksheets
Resolve removable trigonometric discontinuities with standard sine limits and exact identities.
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Calculus
Differentiation Tables worksheets
Apply sum, difference, product, quotient, scalar and Chain Rules to exact function and derivative values in one shared lookup table.
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Calculus
Riemann Sum Tables worksheets
Calculate exact left-endpoint, right-endpoint and midpoint Riemann-sum area estimates from complete tables on uniform intervals.
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Calculus
Approximating Area under a Curve worksheets
Draw and calculate left-endpoint, right-endpoint and midpoint rectangle estimates for explicit polynomial, trigonometric, exponential and natural-log functions.
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Integers
Absolute value of integers worksheets
Find each integer's distance from zero. Choose one-digit, two-digit, or mixed magnitudes and 12, 16, 20, 24, or 30 questions.
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Integers
Ordering integers worksheets
Arrange four distinct signed integers in increasing or decreasing order. Choose one-digit, two-digit, or mixed magnitudes and 12, 16, or 20 sets.
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Integers
Greatest and smallest integers worksheets
Identify the greatest or smallest value in sets of four distinct signed integers. Print 12, 16, 20, 24, or 30 sets with one-digit, two-digit, or mixed magnitudes.
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Integers
One less and one more integers worksheets
Complete a table with the integers one less and one more than each given value. Choose 12, 16, or 20 rows and one-digit, two-digit, or mixed starting magnitudes.
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Integers
Opposite integers worksheets
Find the integer equally far from zero on the other side. Choose one-digit, two-digit, or mixed magnitudes and 12, 16, 20, 24, or 30 questions.
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Integers
Representing integers worksheets
Translate ten short real-world statements into signed integers. Display quantities as digits, English number words, or a mixture, with sign explanations in the answer key.
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Real numbers
Classifying real numbers worksheets
Classify fourteen values into every applicable number set. Compare integers, reducible and irreducible signed fractions, square roots and pi with a separate answer key.
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Real numbers
Adding and subtracting rational numbers worksheets
Create fourteen signed sums and differences with integers, decimals, fractions or a mixture. Each question has two or three operands and an exact answer.
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Real numbers
Multiplying and dividing integers worksheets
Practice fourteen signed integer products and exact quotients. Choose fraction-bar division, ÷, × or parentheses, with factor magnitudes from 2 to 20.
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Real numbers
Multiplying and dividing rational numbers worksheets
Create fourteen signed products and quotients with any combination of integers, decimal tenths and fractions. Exact answers use terminating decimals or simplest fractions.
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Complex numbers
Absolute value of complex numbers worksheets
Find the modulus of ten complex numbers. Connect real and imaginary components with distance from the origin, then check exact, simplified radical answers.
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Complex numbers
Graphing complex numbers worksheets
Plot complex numbers and read a + bi from points on the complex plane. Choose six plotting questions, six identification questions or a balanced mixture.
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Complex numbers
Complex number operations worksheets
Add, subtract and multiply complex numbers in ten-question sets. Select sums and differences, imaginary monomial products or binomial products and squares.
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Complex numbers
Rationalizing complex denominators worksheets
Rewrite ten complex quotients with real denominators. Select real-over-imaginary, binomial-over-imaginary or binomial-over-binomial questions and print worked answers.
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Complex numbers
Complex numbers review worksheets
Combine four modulus questions with four complex-plane questions. Choose plotting, identifying points or both, with a separate key for the same generated set.
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Matrices
Basic matrix operations worksheets
Practice six matrix addition, subtraction and scalar multiplication questions with numeric, algebraic or mixed entries. Undefined cases make dimension checks part of the work.
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Matrices
Matrix multiplication worksheets
Complete six matrix products with exact numeric, algebraic or mixed entries, and identify products that are undefined because the inner dimensions differ.
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Matrices
Mixed matrix operations worksheets
Work through six questions that mix addition, subtraction or scalar multiplication with separate matrix products. Exact entries and dimension-aware answers distinguish valid expressions from undefined ones.
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Matrices
2 × 2 determinant worksheets
Evaluate twelve determinants of 2 × 2 matrices with numeric, algebraic or mixed entries. Algebraic questions supply one variable value for the final numeric answer.
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Matrices
3 × 3 determinant worksheets
Evaluate twelve determinants of 3 × 3 matrices with numeric, algebraic or mixed entries. Algebraic questions supply one variable value for the final numeric answer.
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Matrices
Matrix inverse worksheets
Decide whether six numeric 2 × 2 matrices have inverses, then find six exact inverses or state that no inverse exists.
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Matrices
Cramer's rule 2 × 2 worksheets
Solve twelve two-variable systems with Cramer's rule. Practice unique, infinitely many and no-solution systems with exact determinant reasoning.
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Matrices
Cramer's rule 3 × 3 worksheets
Solve twelve three-variable systems with Cramer's rule. Use exact determinants and rank evidence for unique, infinitely many and no-solution systems.
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Logic
Logic definitions reference sheet
Introduce propositions, logical operators, compound expressions and truth tables with a printable reference. Use clear examples before starting symbolic logic practice.
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Logic
Truth tables reference sheet
Print truth tables for NOT, AND, OR, conditional, biconditional and exclusive OR. Compare their truth conditions in individual tables and a combined reference.
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Logic
Digital logic truth tables reference
Explore NOT, AND, OR, NAND, NOR and XOR using 1 and 0. Print individual digital truth tables, a combined comparison and common Boolean notation aliases.
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Logic
Complete truth tables worksheets
Generate four truth tables with AND, OR, conditional, biconditional or exclusive OR. Choose negated atoms and fill either every cell or only the result column.
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Logic
Determine truth values worksheets
Practice ten true-or-false logic questions using verifiable numerical facts. Choose simple compounds, whole-statement negation or three-proposition expressions in words, symbols or both.
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Logic
Draw truth tables worksheets
Build four truth tables from their expressions, with open space to plan columns and rows. Select operators and negations, then compare your construction with the complete answer tables.
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Logic
Logic truth table review worksheets
Translate four verbal statements into expressions and complete one combined truth table. Choose an operator and practice every combination of negated and unnegated atoms.
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Logic
Law of detachment worksheets
Use two given premises to draw a valid conclusion in eight original scenarios. Practice the law of detachment, also called modus ponens, with a separate answer key.
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Exponents and radicals
Radical and rational exponents worksheets
Rewrite radicals as rational exponents, rewrite rational exponents as radicals and simplify exact perfect-power monomials. Each sheet has twelve source-aligned tasks with numeric, positive-variable or mixed expressions.
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Exponents and radicals
Solving rational exponent equations worksheets
Solve twelve exact rational exponent equations over the real numbers. Choose easy, medium or hard profiles and print a worked answer key with domain and substitution checks.
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Exponents and radicals
Simplifying rational exponents worksheets
Simplify ten exact monomial powers, products and quotients with rational exponents. Choose easy, medium or hard profiles and print a worked answer key.
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Exponents and radicals
Exponent rules reference sheet
Print an exponent rules reference with original examples of zero, negative and rational exponents, products, quotients and powers. Includes the conditions each rule needs.
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Exponents and radicals
Square roots chart from 1 to 2500
Print a square roots chart showing the 50 perfect squares from 1² to 50² and their principal roots. Choose Letter or A4 and a printed language.
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Exponents and radicals
Simple integer exponents worksheets
Generate 20 powers using positive or negative integer bases. Choose any exponent values from −4 through 5, including zero and negative powers, with a separate answer key.
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Exponents and radicals
Evaluate powers of integer bases worksheets
Choose positive, negative, zero, unit or fractional exponents for 20 integer-base problems. Practice exact real-number values with independently selected base signs.
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Exponents and radicals
Evaluate powers of fractions worksheets
Practice 20 powers with fraction bases and positive, negative, zero, unit or fractional exponents. Select base signs and print exact reduced answers.
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Exponents and radicals
Multiplying powers worksheets
Practice 14 products of powers with numeric, fractional and variable bases. Choose positive exponents or mixed signs and write simplified positive-exponent answers.
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Exponents and radicals
Dividing powers worksheets
Generate 12 quotients of powers with positive or mixed signed exponents. Simplify coefficients and variable powers while retaining restrictions from denominators and negative powers.
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Exponents and radicals
Multiplying and dividing powers worksheets
Choose multiplication, division or a balanced mix for 12 exponent-law problems. Use positive or mixed signed exponents with exact simplified answers.
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Exponents and radicals
Powers of products worksheets
Practice 14 powers of products. Choose one-, two- or three-factor cases and apply the outside exponent to coefficients and variable powers.
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Exponents and radicals
Powers of quotients worksheets
Generate 12 powers of numeric and algebraic quotients. Apply the exponent to numerator and denominator, reduce the result and preserve excluded values.
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Exponents and radicals
Powers of products and quotients worksheets
Choose product powers, quotient powers or both in a 12-question worksheet. Practice distributing outer powers and simplifying exact algebraic results.
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Exponents and radicals
Evaluating exponential functions worksheets
Evaluate 14 exponential functions at positive, negative or mixed integer inputs. Keep exact fraction answers and show a hundredth approximation when needed.
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Exponents and radicals
Mixed exponent rules worksheets
Combine multiplication, division, powers of products and powers of quotients in 12 questions. Select the operations and positive, negative or mixed exponents.
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Exponents and radicals
Simplifying square roots worksheets
Generate 10 square-root problems using perfect squares, nonperfect radicands or outside coefficients. Practice exact factor extraction with a separate answer key.
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Exponents and radicals
Simplifying radical expressions worksheets
Practice 10 numeric-only, variable-only or mixed radicals with square, cube, fourth, fifth or sixth roots. Extract perfect powers and use absolute values where even roots require them.
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Exponents and radicals
Adding and subtracting radicals worksheets
Choose already simplified radicals, simplify-one, simplify-all or mixed problems for 10 sums and differences. Select unit, nonunit or mixed coefficients.
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Exponents and radicals
Multiplying radical expressions worksheets
Print 10 monomial-by-monomial, monomial-by-binomial or binomial-by-binomial radical products. Choose coefficient types and practice distributing before simplifying.
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Exponents and radicals
Radical expression operations worksheets
Generate 10 mixed addition, subtraction and multiplication problems with independently selectable Easy, Medium and Hard profiles. Numeric practice progresses from two to three visible radical terms; Hard problems use x with x > 0 and include genuine trinomial products.
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Exponents and radicals
Dividing radical expressions worksheets
Generate twelve dividing-radicals questions in independently selectable easy, medium and hard profiles, with exact rationalization, higher perfect roots and real-variable domain cases.
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Exponents and radicals
Solving radical equations worksheets
Generate 10 radical equations in independently selectable Easy, Medium and Hard profiles. Practice isolating roots, solving, and rejecting candidates that fail the original equation.
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Exponents and radicals
Scientific notation operations worksheets
Select multiplication, division and powers for 12 scientific notation problems. Choose exponent signs, normalize coefficients and keep exact answers or clearly marked approximations.
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Exponents and radicals
Perfect squares and cubes worksheets
Create 18 questions on squares, cubes, square roots or cube roots. Set a base or root magnitude range from 1 to 20 and choose powers, roots or both.
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Exponents and radicals
Square and cube equations worksheets
Generate 18 equations with squared, cubed or rooted variables. Set magnitudes from 1 to 20, choose equation types and select the signs of cubic values.
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Exponents and radicals
Meaning of logarithms worksheets
Rewrite exponential and logarithmic equations and evaluate exact logarithms. Choose numeric or symbolic forms, fractional exponents and reciprocal arguments, with separate answers.
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Exponents and radicals
Properties of logarithms worksheets
Expand and condense logarithms with 16 selectable product, quotient and power forms. Practice natural logs, base-ten logs and fractional powers with exact symbolic answers.
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Exponents and radicals
Change of base formula worksheets
Use a calculator to evaluate natural, common and other logarithms. Choose 12, 14 or 16 questions and round answers to two or three decimal places.
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Exponents and radicals
Writing logs in terms of others worksheets
Use three given logarithms to find another value without a calculator. Select nine forms and practice with numbers, letters or a mix of both.
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Exponents and radicals
Logarithmic equations worksheets
Solve six types of logarithmic equations with exact answers. Choose 12, 14 or 16 questions and check every solution in the original logarithms.
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Exponents and radicals
Exponential equations without logarithms worksheets
Solve nine types of exponential equations by rewriting to a common base. Choose 12 or 14 questions with exact fraction answers and worked keys.
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Exponents and radicals
Exponential equations requiring logarithms worksheets
Solve six types of exponential equations using logarithms, including natural-base equations. Choose 12, 14 or 16 questions with worked keys and four-place answers.
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Significant figures
Significant figures rules handout
Print an original significant figures reference with zero rules, scientific notation, calculation rules and rounding examples. Choose Letter or A4 and a printed language.
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Significant figures
Identify significant digits worksheets
Count significant digits in whole numbers, decimals and scientific notation. Select any combination, generate 20 questions and print a separate answer key.
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Significant figures
Adding and subtracting with significant figures worksheets
Practice two-number sums, three-number sums and subtraction with 20 questions. Round by decimal place, choose a halfway rule and print precision-preserving answers.
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Significant figures
Multiplying and dividing with significant figures worksheets
Generate 20 two-factor, three-factor or division problems. Round to the fewest significant digits, preserve meaningful zeroes and download the worksheet with answers.
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Number systems
Decimal and binary conversion worksheets
Convert between decimal and binary with 16 questions, four number ranges and a separate answer key. Customize the worksheet and download a Letter or A4 PDF.
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Number systems
Decimal and octal conversion worksheets
Practice decimal-to-octal and octal-to-decimal conversion with four ranges, 16 questions and printable answers. All selected ranges describe decimal values.
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Number systems
Decimal and hexadecimal conversion worksheets
Convert decimal and hexadecimal numbers with uppercase A–F, two ranges and 16 questions. Print the worksheet and a separate answer key in Letter or A4.
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Number systems
Binary addition and subtraction worksheets
Print 16 binary arithmetic problems with addition, subtraction or a balanced mix. Choose four operand ranges and include a separate answer key.
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Number systems
Octal addition and subtraction worksheets
Practice vertical base-eight addition and subtraction with four operand ranges, 16 problems and optional answers. Generate a fresh printable set with the same settings.
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Number systems
Hexadecimal addition and subtraction worksheets
Add and subtract hexadecimal numbers using digits 0–9 and A–F. Choose an operand range, print 16 questions and download a separate answer key.
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Number systems
Bitwise operations worksheets
Practice AND, OR, XOR, NAND, NOR and NXOR with four-bit or eight-bit numbers. Choose operators, generate 16 problems and print width-correct answers.
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Number systems
Roman numeral conversion worksheets
Convert between decimal and Roman numerals with nine ranges, 16 questions and printable answers. The highest range includes 4000 with an explained overline convention.
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Venn diagrams
Two-set Venn diagram template
Print a large landscape Venn diagram with two overlapping circles and a universal-set frame. Choose blank regions or writing guides, in Letter or A4.
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Venn diagrams
Three-set Venn diagram template
Download a landscape three-circle Venn diagram with room for all eight regions. Add writing guides or leave the template blank for your own lesson.
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Venn diagrams
Set theory symbols and definitions
Use an original printable reference to set notation, unions, intersections, complements, subset relations and number sets, with clear definitions and examples.
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Venn diagrams
Shading two-set Venn diagrams worksheets
Shade two-set Venn diagrams from union, intersection, difference and complement expressions. Choose operation families and print a separate shaded answer key.
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Venn diagrams
Shading three-set Venn diagrams worksheets
Practice nested three-set expressions, complements and disconnected regions. Print six diagrams with a separate key showing exactly which regions to shade.
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Venn diagrams
Naming shaded two-set Venn diagrams
Write set notation for shaded two-circle diagrams. Select operation families and use an answer key that recognizes mathematically equivalent expressions.
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Venn diagrams
Naming shaded three-set Venn diagrams
Describe shaded three-circle regions with compound set notation. Practice standard and complemented expressions with a separate answer key.
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Venn diagrams
Two-set notation worksheets
Find roster-set answers from three populated two-circle diagrams. Choose unions, intersections, differences, complements and whether empty answers are allowed.
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Venn diagrams
Three-set notation worksheets
Evaluate ten compound expressions from one populated three-set diagram. Practice standard or complemented forms with exact roster-set answers.
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Venn diagrams
Venn diagram word problems
Answer ten counting questions from a two-set or three-set context diagram. Practice only, both, neither, totals and overlapping groups with a separate key.
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Systems of equations
Systems of equations methods handout
Compare substitution, elimination and graphing in an original printable guide. Choose the methods to include and follow worked examples that check both equations.
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Systems of equations
Solving systems of equations worksheets
Solve ten two-variable systems using substitution, elimination or any method. Choose four equation-pair structures and download exact, step-by-step answer keys.
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Systems of equations
Solving systems by graphing worksheets
Graph eight pairs of linear equations on blank coordinate grids. Choose equation forms, locate each intersection and check a separate key with both lines and the exact solution.
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Systems of equations
Graphing systems of inequalities worksheets
Graph eight pairs of linear inequalities, distinguish strict and inclusive boundaries, and shade each common solution region on a coordinate grid.
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Polynomials
Naming polynomials by type and degree worksheets
Name ten collected polynomials by both their term-count type and total degree. Choose any nonempty mix of one through six terms, then use a separate worked key to compare every term degree.
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Polynomials
Identifying polynomial types worksheets
Classify ten expressions by their number of terms. Choose one through six terms and use a separate worked key to distinguish monomials, binomials, trinomials and longer polynomials.
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Polynomials
Identifying polynomial degree worksheets
Find the degree of ten monomials and polynomials. Select one through six terms, compare term degrees and check a separate key with the exponent calculations.
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Polynomials
Factoring monomials worksheets
Factor ten monomials into primes and variable factors. Choose expression structures, coefficient ranges and repeated factors or prime-power notation, with exact worked answers.
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Polynomials
Adding and subtracting polynomials worksheets
Print a 10-question adding and subtracting polynomials worksheet. Choose two or three grouped polynomials with four to nine terms and worked answers.
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Polynomials
Multiplying monomials and polynomials worksheets
Distribute a monomial across a polynomial in ten problems. Select from twelve expression structures, keep powers and signs exact, and check a separate worked answer key.
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Polynomials
Multiplying binomials worksheets
Expand ten products of two binomials. Choose among four expression structures, form every term pair and collect like terms with a separate worked key.
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Polynomials
Multiplying monomials worksheets
Simplify products and powers of monomials. Choose from 48 structures, positive or negative exponents and coefficients, and 12, 15 or 18 problems with exact answers.
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Polynomials
Factoring quadratic polynomials worksheets
Factor ten quadratic binomials and trinomials completely over the integers. Choose factorable-only practice or include two prime quadratics, and vary monic and nonmonic leading coefficients.
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Polynomials
Dividing polynomials worksheets
Divide polynomials by monic linear divisors in ten expression problems or six long-division problems. Choose binomial, trinomial, four-term or mixed dividends and check exact quotient-and-remainder keys.
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Polynomials
Completing the square worksheets
Find the missing constant in ten monic quadratic trinomials. Choose whole, fractional or mixed linear coefficients and check exact reduced answers.
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Polynomials
Factoring by grouping worksheets
Factor ten four-term cubics completely over the integers. Choose displayed monic, nonmonic or mixed leading coefficients and factorable-only practice or a set with three primitive prime cubics.
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Polynomials
Remainder theorem worksheets
Use the Remainder Theorem in twelve structured problems: evaluate four polynomials at a point, make four factor decisions from zero remainders, and divide four polynomials by signed monic linear divisors with exact quotient-and-remainder answers.
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Polynomials
Factoring sums and differences of cubes worksheets
Factor twelve sums and differences of cubes completely. Choose common variable factors, displayed leading coefficients, or mixed practice with exact complete products.
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Polynomials
Rational Root Theorem worksheets
List every possible rational zero from the printed leading and constant coefficients, then find exact rational zeros and their multiplicities in twelve degree-two through degree-four problems.
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Polynomials
Descartes Rule of Signs worksheets
Use sign changes in P(x) and P(−x) to list every possible number of positive and negative real zeros for twelve degree-two through degree-six polynomials.
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Polynomials
Binomial Theorem worksheets
Find exact coefficients, identify requested ordinal terms, and write complete ordered expansions for twelve one-variable, two-variable, linear, higher-power, and hybrid binomials.
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Polynomials
Irrational and imaginary root theorem worksheets
Use degree and conjugate pairing only—not polynomial solving—to list possible real and nonreal complex-root counts, counting multiplicity and including real roots in the complex total. Complete rational-coefficient root lists and construct least-degree monic integer polynomials.
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Polynomials
Polynomial graph identification worksheets
Match expanded linear, quadratic, cubic and quartic equations to one of four coordinate graphs drawn on the same −5 to 5 scale, with balanced answer positions and deliberately useful distractors.
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Polynomials
Factoring polynomials with all techniques worksheets
Factor twelve expanded polynomials completely over the integers, mixing greatest common factors, quadratics, grouping, cube identities, substitution patterns, repeated factors and irreducible quadratic factors.
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Polynomials
Analyzing and solving polynomial equations worksheets
Analyze and solve six expanded monic polynomial equations of selected degrees two through six. Each exact key separates degree and Descartes possibilities from rational candidates and the complete roots with multiplicity.
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Polynomials
Basic polynomial operations worksheets
Practice twelve balanced polynomial problems: name four expressions by degree and term count, simplify four grouped sums or differences, and expand four products of quadratic binomials or trinomials.
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Polynomials
Factors and zeros worksheets
Connect factored forms, complete exact zero lists, primitive integer polynomials and complete rational factorizations in twelve balanced Algebra 2 problems.
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Linear functions
Finding slope from graphs worksheets
Read eight graphed lines and find each exact slope. Use the coordinate scale to compare rise and run, then check a separate answer key with worked calculations.
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Linear functions
Finding slope from two points worksheets
Calculate exact slopes from ten pairs of integer-coordinate points. Practice signed differences and reduced fractions, with a separate key that explains the slope calculation.
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Linear functions
Slope and y-intercept from equations worksheets
Find slope and y-intercept in ten linear equations. Choose slope-intercept form, standard form or both, and practice slope alone or both properties with exact answers.
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Linear functions
Graphing slope-intercept form worksheets
Graph eight lines in slope-intercept form. Choose graphing alone, graphing with slope and intercept questions, or writing an equation and graph from supplied properties.
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Linear functions
Graphing lines from an intercept and point worksheets
Construct eight lines from a supplied y-intercept and one ordered pair. Choose graphing alone or also find the slope and equation, with worked keys and completed graphs.
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Linear functions
Graphing lines from two points worksheets
Graph eight lines using two ordered pairs and a supplied y-intercept. Choose graphing alone or also calculate the slope and write an equation, with separate worked answers.
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Linear functions
Graphing standard-form equations worksheets
Graph eight equations in standard form Ax + By = C. Choose graphing alone or also find slope and label the y-intercept, using exact fractional slopes and worked keys.
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Linear functions
Mixed linear equation skills worksheets
Connect graphs, equations and line properties in ten tasks: four graph-to-slope questions, four equation-to-slope questions and two write-and-graph problems.
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Linear functions
Writing linear equations from graphs worksheets
Write slope-intercept equations for eight graphed lines. Read the y-intercept, calculate an exact slope and check the equation against visible points with a separate worked key.
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Linear functions
Graphing two-variable inequalities worksheets
Graph eight linear inequalities on coordinate planes. Select any nonempty combination of <, ≤, > and ≥, then draw the boundaries and shade the solution regions with a separate graphical key.
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Linear functions
Graphing absolute value functions worksheets
Graph eight absolute value functions or write equations from eight V-shaped graphs. Practice translations and reflections of y = |x| with integer vertices and a separate worked graphical key.
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Equations
Absolute value equations worksheets
Solve ten absolute value equations from six selectable families. Practice signed interiors, outside coefficients, fractions and variable denominators, with exact solutions, clearly marked approximations and separate worked keys.
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Inequalities
Absolute value inequalities worksheets
Solve and graph ten absolute value inequalities. Choose addition and subtraction, multiplication and division, or mixed operations, with shifts, negative inner coefficients and separate worked graphical answers.
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Inequalities
Compound inequalities worksheets
Solve and graph ten compound inequalities. Choose addition and subtraction, multiplication and division, or mixed operations, then connect AND intervals and OR rays with a separate graphical answer key.
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Inequalities
Inequality symbols and properties reference
Print a complete guide to inequality symbols, number-line graphs and equivalent transformations. Explore addition, subtraction, signed multiplication and division, and transitive comparisons with examples.
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Inequalities
Graphing single-variable inequalities worksheets
Translate between an inequality and a number-line graph in twenty questions. Choose whole numbers, signed integers or halves; draw graphs, read graphs or mix both tasks, with a separate key.
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Inequalities
One-step addition and subtraction inequalities worksheets
Solve and graph ten one-step inequalities using addition or subtraction. Practice expressions on either side, choose comparison symbols and print a worked solution key.
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Inequalities
One-step multiplication and division inequalities worksheets
Solve and graph ten one-step inequalities with signed coefficients and divisors. Learn when to reverse the comparison, using exact integer boundaries and explained answer keys.
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Inequalities
One-step all-operations inequalities worksheets
Solve and graph ten one-step inequalities in one mixed set: three addition, three subtraction, two multiplication and two division questions. Choose the prompt relationships and print separate worked answers.
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Inequalities
Two-step inequalities worksheets
Solve and graph ten two-step inequalities with signed coefficients, constants and variable quotients. Keep boundaries exact and use the worked key to follow each equivalent transformation.
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Inequalities
Multi-step inequalities worksheets
Distribute factors, combine like terms and solve ten linear inequalities with variables on either or both sides. Print exact solutions, explained sign reversals and number-line graphs.
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Equations
One-step equations worksheet with integers
Print a 10-question one-step equations worksheet with signed integers, four inverse operations, exact answers, worked steps, and substitution checks.
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Equations
One-step decimal equations worksheets
Practice ten one-step equations with decimal operands and exact terminating solutions. Use inverse operations and check each solution with the original decimal values.
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Equations
One-step fraction equations worksheets
Solve ten equations containing proper fractions and signed mixed numbers. Practice fractional coefficients and inverse operations, with exact working and answers rounded to hundredths.
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Equations
Mixed-number one-step equations worksheets
Build ten one-step equations from any nonempty mix of integers, decimals and fractions. The selected number types are balanced across the sheet, and every answer and substitution check stays exact.
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Equations
Two-step equations worksheet
Print a 10-question two-step equations worksheet with integer quantities, fractional coefficients, grouped quotients, worked answers, and exact checks.
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Equations
Two-step decimal equations worksheets
Practice ten two-step equations with decimals, fractional coefficients and grouped division. Keep exact values during the solution and round the final answer to two decimal places.
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Equations
Multi-step integer equations worksheets
Choose from eleven equation structures for ten questions with integer operands. Practice like terms, grouped expressions and variables on either side, with exact worked solutions and separately rounded answers.
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Equations
Multi-step decimal equations worksheets
Choose from eleven equation structures for ten questions with signed half-step decimal operands. Practice like terms, grouped expressions and variables on either side, with exact worked solutions and separately rounded answers.
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Equations
Variables on both sides equations worksheets
Solve ten equations with the same variable on both sides. Choose the letter policy, constant and coefficient ranges, and signed or positive-only operands, with full worked solutions.
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Equations
Solving quadratics by factoring worksheets
Solve ten factorable quadratic equations with complete exact root sets. Choose factored form, expanded form, rearrangement practice or a balanced mixed sheet.
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Equations
Determining equation solution types worksheets
Classify twelve linear equations as having no solutions, one solution or infinitely many solutions. Choose any nonempty combination, with exact rational roots on separate keys.
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Equations
Working with the discriminant worksheets
Calculate the discriminant for twelve quadratic equations, then use its sign and square status to count and classify distinct roots. Choose monic, signed nonmonic or mixed leading coefficients.
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Equations
Solving quadratics by taking square roots worksheets
Solve ten quadratic equations by isolating a squared variable and taking both square roots. Choose direct, offset, scaled, multi-step or mixed equations with rounded real, exact real, no-real or imaginary results.
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Equations
Solving quadratics by completing the square worksheets
Solve ten quadratic equations by completing the square. Choose easy, hard or mixed equations and rational-only answers or exact radical roots.
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Equations
Solving quadratics with the quadratic formula worksheets
Solve ten quadratic equations with the quadratic formula. Practice original monic and nonmonic equations with rational and exact radical answers.
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Matrices
Matrix equations worksheets
Solve six exact matrix equations by isolating a scalar multiple of X or multiplying by a 2 × 2 inverse on the left.
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Algebraic expressions
Words to algebraic expressions reference sheet
A printable guide to the language of algebra. Connect words with addition, subtraction, products, quotients, equality and grouping, with examples that explain operand order.
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Algebraic expressions
Writing algebraic expressions worksheets
Translate words into algebra with ten questions per worksheet. Select easy, medium and hard phrases, including grouping, fractions and powers, and print an explained answer key.
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Algebraic expressions
Combining like terms worksheets
Print ten combining-like-terms questions and a separate worked key. Choose original one-variable practice or a progressive English lesson with two-variable grouping, distribution, error analysis, and perimeter.
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Algebraic expressions
Distributive property worksheets
Print 10 distributive property expressions. Choose grouped three- or four-term forms, signed factors and coefficient ranges, with worked answers.
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Algebraic expressions
Evaluating one-variable expressions worksheets
Substitute a given value and evaluate expressions with one variable. Choose addition, subtraction, grouped products or exact division, with whole-number or signed integer inputs.
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Algebraic expressions
Evaluating two-variable expressions worksheets
Evaluate expressions using two distinct variable values. Select sums, grouped multiplication and exact-division forms with whole numbers or integers, plus an explained answer key.
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Probability
Probability with numbers worksheets
Find the chance of selecting a number from a finite set. Practice ranges up to 10, 25 or 50, count favorable outcomes and simplify the probability with an explained answer key.
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Probability
Single die probability worksheets
Explore six equally likely outcomes on a fair die. Choose number, multiple-and-divisor or factor questions, then print a worksheet and a separate explained answer key.
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Probability
Two dice probability worksheets
Count ordered outcomes from two fair dice. Practice number events, sums, differences, products and factor relationships with probabilities derived from all 36 possible pairs.
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Probability
Playing card probability worksheets
Calculate probabilities in a standard 52-card deck. Choose single draws or independent draws with replacement, with explicit card conventions and an explained answer key.
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Probability
Spinner probability worksheets
Read number and letter spinners with 5 to 12 equal sectors. Count matching sectors from the printed diagram and calculate simplified probabilities with an answer key.
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Probability
Probability reference sheet
A printable guide to probability, independent and dependent events, replacement and probability trees. Connect definitions with worked examples and conditional branch probabilities.
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Math properties
Identifying math properties worksheets
Name the property shown by an explanation and example. Choose 10, 12 or 15 questions from arithmetic and equality properties, with a separate answer key.
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Math properties
Working with math properties worksheets
Four-choice questions about examples, non-examples, distribution and equality rules. Select the properties to practice and download a separate explained answer key.
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Math properties
Math properties reference sheet
A printable guide to arithmetic and equality properties, with definitions, equations, equivalent names and the nonzero conditions needed for reciprocals and division.
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Pythagorean theorem
Pythagorean theorem worksheet: missing side lengths
Print a four-question Pythagorean theorem worksheet for missing hypotenuses or legs. Choose whole-number triples or irrational results from whole or decimal givens.
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Pythagorean theorem
Distance between two points worksheets
Find distances on four coordinate grids with whole-number, decimal-tenths, radical or mixed coordinates. Choose first-quadrant or four-quadrant points and print separate worked solutions.
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Pythagorean theorem
Pythagorean theorem reference and worked examples
A six-page printable guide to right-triangle parts, square areas, missing sides, irrational lengths and the coordinate distance formula.
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Geometry
Classifying angles worksheets
Classify 20 angles as acute, right, obtuse or straight. Ten questions use unlabelled diagrams and ten use exact degree measures, followed by a separate answer key.
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Geometry
Naming angles worksheets
Identify vertices and directed rays, give four valid names for a single angle, and name every angle formed by three or four rays. Twelve questions include complete answer lists.
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Geometry
Angle-pair relationships worksheets
Identify every relationship that applies to two marked angles: adjacent, complementary, a linear pair or vertical. Eight diagrams show both exact measures and a separate checked answer key.
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Geometry
Identifying parallel lines worksheets
Decide whether six pairs of extended supporting lines are parallel. The balanced set includes parallel, perpendicular and oblique examples in varied orientations.
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Geometry
Identifying perpendicular lines worksheets
Decide whether six pairs of extended supporting lines are perpendicular. True examples include a right-angle mark; counterexamples include parallel and oblique pairs.
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Geometry
Classifying line relationships worksheets
Classify six pairs of extended supporting lines as parallel, perpendicular or intersecting but not perpendicular. Each worksheet balances two examples of every relationship.
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Geometry
Line relationships from a diagram worksheets
Classify ten named pairs from one shared six-line diagram as parallel, perpendicular or intersecting but not perpendicular. Endpoint labels vary by seed, and a separate answer key repeats the same figure.
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Geometry
Complementary angles worksheets
Find one missing angle in 9, 12 or 15 complementary pairs using whole numbers, tenths or hundredths. Numbered diagrams show the two regions and a separate answer key preserves every given measure.
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Geometry
Supplementary angles worksheets
Find one missing angle in 6, 8 or 10 supplementary pairs using whole numbers, tenths or hundredths. Each numbered straight-line diagram identifies the given and unknown regions clearly.
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Geometry
Vertical angles worksheets
Use two adjacent givens in 6 or 8 intersecting-line diagrams to find both opposite unknowns. Four numbered regions, whole-number or decimal precision and a two-mark answer key make every equality explicit.
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Geometry
Measuring angles worksheets
Measure eight named angles to the nearest degree. Each diagram uses a two-sided baseline, a clearly labelled vertex and one ray above the line, with a separate numeric answer key.
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Geometry
Drawing angles worksheets
Construct eight named angles from stated whole-degree measures. Every prompt identifies the left or right starting ray; the separate key adds the correct new ray and endpoint label.
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Geometry
Triangle facts reference
Review triangle parts, the 180-degree interior-angle sum, side classifications and angle classifications in one fixed two-page handout with six exact diagrams for Letter or A4 paper.
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Geometry
Identifying triangles worksheets
Classify 12 triangles into seven angle-and-side buckets using exact geometry, equal-side tick marks and right-angle squares. Choose any nonempty class set and print a separate answer key.
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Geometry
Triangle angle sum worksheets
Solve eight exact triangle angle equations with one variable expression and two numeric givens. Choose interior, exterior or mixed placement independently from single-variable, algebraic or mixed expression practice.
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Geometry
Triangle exterior angle theorem worksheets
Solve eight exact adjacent-exterior equations with one variable expression and two numeric givens. Choose single-variable, algebraic-expression or mixed practice, with matching Letter and A4 previews and answer keys.
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Geometry
Quadrilateral area and perimeter worksheets
Name nine marked squares, rectangles, parallelograms, rhombi and trapezoids, then calculate area, perimeter or both with exact whole-number or decimal dimensions in five selectable units.
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Geometry
Triangle area and perimeter worksheets
Identify nine right, common scalene, equilateral and isosceles triangles, then calculate area, perimeter or both from visible whole-number or decimal measurements in five selectable units.
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Geometry
Circle measurements worksheets
Find radius, diameter, circumference and area in nine circles from a supplied radius or diameter. Choose any of five units, use pi = 3.14, and optionally print the formulas.
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Geometry
Prism and cylinder volume worksheets
Find the volume of nine cubes, rectangular, triangular, trapezoidal, regular pentagonal or regular hexagonal prisms and cylinders, with selectable problem types and units.
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Geometry
Coordinate translations worksheets
Translate six triangles, convex quadrilaterals, rectangles and concave rectilinear polygons on -5 to 5 coordinate grids using horizontal, vertical and two-axis directions.
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Geometry
Coordinate reflections worksheets
Reflect six triangles, convex quadrilaterals, rectangles and concave rectilinear polygons across the axes, both diagonals and non-origin horizontal or vertical lines.
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Geometry
Area of composite figures worksheets
Find the shaded area of nine 2D composite figures. Choose joined parts or cutouts, shape families, units and rounding; print diagrams and a separate answer key.
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Geometry
Coordinate Rotation Worksheets
Draw rotated images of triangles, quadrilaterals and box outlines on printable coordinate grids.
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Geometry
Mixed Transformation Worksheets
Choose translations, rotations and reflections for a mixed printable worksheet with separate answer keys.
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Geometry
Identify Transformation Worksheets
Compare labeled original and image figures to identify translations, rotations and reflections on paper.
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Geometry
Similar Polygons Worksheets
Decide whether polygon pairs are similar and find scale factors, with triangles, rectangles, trapezoids, parallelograms and other quadrilaterals.
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Geometry
Using Similar Polygons Worksheets
Find missing corresponding sides in similar polygons using given scale ratios or known side pairs, with eight problems and worked answers.
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Geometry
Similar Right Triangles Worksheets
Use an altitude to the hypotenuse to find missing lengths in a right triangle, with exact radical answers or rational-only practice.
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Geometry
Similar Triangles Worksheets
Identify similar and non-similar triangle pairs using SSS, SAS or AA, and write the matching vertex order with a worked answer key.
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Geometry
Solving Proportions Worksheets
Solve ten algebraic proportions with five expression families, variable denominators, exact fraction or decimal answers and worked solutions.
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Geometry
Midpoint Formula Worksheets
Calculate exact midpoints from printed whole-number, decimal-tenths, fractional or mixed endpoints, then plot each midpoint in the first quadrant or all four quadrants.
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Geometry
Identify Lines, Rays, and Line Segments Worksheets
Identify nine diagrams by their endpoints and arrowheads, with varied orientations and a separate answer key.
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Geometry
Parallel Line Through a Point Worksheets
Write the equation of a distinct parallel line through a given point, using slope-intercept, standard or mixed input equations.
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Geometry
Perpendicular Line Through a Point Worksheets
Write perpendicular line equations through a given point, including exact fractional slopes and horizontal or vertical cases.
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Geometry
Classify Lines from Equations Worksheets
Compare two linear equations and identify parallel, perpendicular or intersecting but not perpendicular lines, with worked slope reasoning.
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Geometry
Parallel and Perpendicular Slopes Worksheets
Find both parallel and perpendicular slopes from integer or fractional slopes, with explicit zero and undefined slope practice.
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Geometry
Classify Lines from Slopes Worksheets
Decide whether distinct lines are parallel, perpendicular or neither from their slopes, including fractions, zero and undefined slopes.
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Geometry
Arcs and Central Angles Worksheets
Name minor arcs, major arcs, semicircles and central angles, then find their measures with three or four points on a circle.
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Geometry
Inscribed Angles Worksheets
Name inscribed angles and intercepted arcs, then solve angle, triangle and cyclic quadrilateral problems with worked answer keys.
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Geometry
Identify Circle, Radius and Diameter Worksheets
Identify the circle, a drawn radius and a diameter in nine labeled diagrams, with all valid radius names in the answer key.
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Geometry
Solid Surface Area Worksheets
Create surface area worksheets for prisms, pyramids, cylinders and cones, with labelled diagrams and worked answer keys.
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Geometry
Solid Volume Worksheets
Practice the volumes of prisms, pyramids, cylinders and cones with selectable base shapes, units and worked answer keys.
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Geometry
Sphere Surface Area and Volume Worksheets
Calculate both the surface area and volume of spheres from radius or diameter, with printable worksheets and worked answers.
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Geometry
Trigonometric Ratios Worksheets
Find sine, cosine and tangent from labelled right triangles and give simplified ratios.
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Geometry
Inverse Trigonometric Ratios Worksheets
Find acute angles from two or three labelled sides using inverse sine, cosine or tangent.
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Geometry
Solving Right Triangles Worksheets
Use known angles and sides to solve right triangles with clear diagrams and worked trigonometric steps.
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Geometry
Multi-Step Trigonometry Worksheets
Solve connected right-triangle problems by finding a shared length before calculating the requested measurement.
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Geometry
Area and Perimeter Formula Reference
Print nine labelled area and perimeter formula cards for common plane figures, with exact assumptions, symbol definitions and unit reminders.
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Graphing
First-quadrant ordered pairs worksheets
Read and plot positive ordered pairs on a coordinate grid. Each printable worksheet includes 25 questions in three groups and a separate completed answer sheet.
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Graphing
Four-quadrant ordered pairs worksheets
Practice signed coordinates with 24 reading and plotting questions. Identify labeled points, write ordered pairs and add new points across the four quadrants.
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Graphing
Coordinate graphing puzzles
Plot ordered pairs and connect them to reveal an original picture. Choose easy, medium or hard coordinate puzzles with separate completed graphs and answers.
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Graphing
First-quadrant coordinate pictures
Choose an original Easter bunny, egg or basket and plot its ordered pairs in the first quadrant. Download complete coordinate lists, a blank grid and a separate picture key.
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Graphing
Four-quadrant coordinate pictures
Choose from 21 original seasonal coordinate pictures. Plot signed ordered pairs, connect separate paths and complete any dot or circle details, with full printable lists and answer graphs.
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Graph paper
Printable graph paper
Print square graph paper with 1/10, 1/4, 3/8 or 1/2 inch spacing, or a true 1 cm grid. Choose US Letter or A4 and preview the actual number of cells.
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Graph paper
Coordinate plane graph paper
Print first-quadrant or four-quadrant coordinate planes in seven layouts. Choose numbered or unnumbered axes while keeping the declared coordinate ranges.
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Graph paper
Four-quadrant graph paper
Print one, four, eight or twelve coordinate grids with axes from −5 to 5. Show or hide tick values while retaining graph numbers and X/Y labels.
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Graph paper
Polar graph paper
Print a polar grid with fourteen concentric circles and spokes every 2°, 5° or 10°. Angle labels appear every 10° around the outside.
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Graph paper
Logarithmic and semi-log graph paper
Print log-log, semi-log or linear graph paper. Choose each axis independently, with optional fine logarithmic divisions and a 1-to-10 decade on log axes.
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Graph paper
Cornell notes paper
Print a two-page Cornell notes template with cue, notes and summary regions. Choose blank, solid-line, dotted-line or grid note areas in Letter or A4.
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Graph paper
Handwriting practice paper
Print handwriting paper with eight writing bands, solid top and bottom rules, and dashed middle guides. Use the lines for number writing and short math explanations.
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Graph paper
Printable notebook paper
Download ruled notebook paper with twenty-eight horizontal lines and a double vertical margin guide. Print in US Letter or A4 for calculations and class notes.
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Graph paper
Printable dot grid paper
Print square dot grids from 1/10 inch to 1 inch spacing, including true 1 cm dots. Use points as guides for shapes, arrays, area models and sketches.
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Graph paper
Trigonometric graph paper
Print two trigonometric grids covering 0 to 2π or −2π to 2π. Choose radian labels, degree labels or unlabeled x axes for sketching periodic functions.
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Mean, median, mode & range
Mean, median, mode and range reference
Print a reference that explains mean, median, mode and range with worked examples. Compare odd and even datasets, negative values, tied modes and data with no mode.
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Mean, median, mode & range
Mean, median, mode and range practice
Generate ten datasets for mean, median, mode and range practice. Choose the requested statistics, observations per dataset, number range and signs, with separate answer pages.
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Word problems
Words to math symbols reference
Connect mathematical language with addition, subtraction, multiplication, division, equality and grouping. Print a reference with contextual examples that goes beyond memorizing keywords.
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Word problems
Addition word problems worksheets
Print ten addition stories with two or three addends. Choose one- or two-digit numbers, digits or number words, and optional extra information, with a separate answer key.
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Word problems
Missing addend word problems
Find an unknown part or starting quantity in ten stories. Select practice with or without regrouping, number wording and extra information, then print questions and answers.
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Word problems
Subtraction word problems worksheets
Practice remaining amounts, differences and missing quantities with ten subtraction stories. Choose one- or two-digit values, number wording and irrelevant-information options.
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Word problems
Mixed addition and subtraction word problems
Choose the operation in a balanced set of five addition and five subtraction stories. Use one-, two- or three-digit quantities and optional practice without regrouping.
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Word problems
Multi-step addition and subtraction word problems
Work through ten stories with several changes or an unknown total. Choose whole-number practice or a set including decimals and money, with space to show intermediate steps.
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Word problems
Multiplication word problems worksheets
Use equal groups, rates and comparisons to solve ten multiplication stories. Choose one- or two-digit practice, number wording and optional extra details.
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Word problems
Multiplication with dozens word problems
Convert dozens to individual items and combine group or value calculations. Print ten original stories with number-wording and extra-information options.
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Word problems
Division word problems worksheets
Solve ten whole-answer sharing, grouping and rate stories. Select one- or two-digit divisor practice, digits or words, and optional irrelevant information.
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Word problems
Division with dozens word problems
Find quantities measured in dozens after grouping or unit conversion. Practice ten stories, including money-value relationships, with a separate answer key.
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Word problems
Dividing fractions word problems
Find how many fractional-sized portions fit in a whole available quantity. Choose proper, improper or mixed-number portion sizes and denominator ranges.
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Word problems
Mixed multiplication and division word problems
Decide between multiplication and division in ten equal-group, sharing and rate stories. Each set includes five of each operation, with wording and extra-data options.
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Word problems
Mixed operation word problems worksheets
Choose addition/subtraction, addition/multiplication, multiplication/division or all four operations. Set the digit range, number wording and extra information for ten stories.
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Word problems
One-step equation word problems
Find a missing starting amount, part, total or unit cost in ten short stories. Choose digits, number words or a mixture, and optional irrelevant information.
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Word problems
Two-step equation word problems
Solve ten stories involving fixed fees and rates, budgets, halves and consecutive numbers. Choose number wording and print a separate answer key.
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Word problems
Multi-step equation word problems
Reverse three-operation number processes, including unknown divisors and starting quantities. Choose positive or negative whole-number or decimal answers.
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Word problems
Adding fractions word problems
Combine two or three fractional measurements in ten stories. Select common, different or mixed denominators and optional extra information.
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Word problems
Subtracting fractions word problems
Compare fractional measurements and find what remains. Choose common, different or mixed denominators and irrelevant-information options for ten questions.
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Word problems
Adding mixed numbers word problems
Combine whole and fractional measurements in ten contextual problems. Choose denominator relationships, add optional extra data and print an answer key.
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Word problems
Subtracting mixed numbers word problems
Find differences between mixed-number measurements, including regrouping across a whole. Select denominator relationships and optional irrelevant information.
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Word problems
Travel time word problems
Find a journey duration, departure or arrival in ten travel stories. Select minutes, hours or days, with optional extra information and separate answers.
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Word problems
Calendar word problems worksheets
Print a selected month with nine date-offset and elapsed-day questions. Choose a month and year from 1800 to 3999 and check a separate answer key.
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Word problems
Percentage word problems worksheets
Find a percent, whole or part in ten contextual questions. Choose percentage precision and the question types, with answers calculated from the displayed values.
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Word problems
Math key phrases word problems
Practice reading mathematical language in ten mixed-operation stories. Select the operation pool, number wording and extra information while checking the meaning of each question.
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Word problems
Distance, rate, and time word problems
Model ten pursuit, opposite-direction, and equal-distance travel stories with exact linear equations. Choose digits, number words, or a mixed set and use worked answer keys with exact checks.
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Word problems
Work rate word problems worksheets
Model ten two-worker job stories with reciprocal work rates, exact equations, and worked checks. Every sheet balances five combined-time and five unknown-solo-time problems.
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Word problems
Mixture word problems worksheets
Model ten concentration, alloy, food-mixture, and unit-cost stories with exact linear equations. Every sheet covers five equation families and reports both ingredient amounts when two quantities are unknown.
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Order of operations
PEMDAS rules chart
Print a clear order-of-operations reference with grouping, powers, multiplication and division, then addition and subtraction. Worked examples explain equal precedence and left-to-right calculation.
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Order of operations
GEMDAS grouping rules chart
Use an order-of-operations handout that treats parentheses, brackets and braces as grouping symbols. Follow a nested example from the innermost group outward.
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Order of operations
Order of operations without division
Practice ten expressions using addition, subtraction and multiplication. Choose easy or hard practice, with optional parentheses, nested groups and exponents, plus separate worked answer pages.
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Order of operations
Basic order of operations worksheets
Evaluate ten expressions with all four arithmetic operations. Select easy or hard practice and five grouping/exponent formats, then print the questions and a separate worked key.
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Order of operations
Advanced order of operations worksheets
Work through twelve expressions with positive, negative or mixed inputs. Combine easy or hard practice with grouping, nested groups and exponents, and check a separate answer key.
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Order of operations
Algebraic order of operations worksheets
Simplify twelve expressions containing x, with configurable signs, grouping and powers. Practice combining like terms and simplifying products and quotients without substituting a number for x.
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Ratios
Ratios from pictures
Count two kinds of shapes in four picture arrays. Write and simplify part-to-part ratios, with an optional second question comparing one group with the whole.
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Ratios
Equivalent ratios: tables, comparisons and missing values
Practice eighteen equivalent-ratio questions in three formats: complete ratio tables, decide whether pairs are equivalent, and solve missing-value proportions.
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Ratios
Find equivalent ratios in tables
Compare four named rows of data and identify the two with equivalent ratios. Choose three contextual problems or a six-problem set, with separate answer pages.
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Ratios
Complete rows of equivalent ratios
Fill missing terms in ten rows of six equivalent ratios. Choose consecutive or gapped scale factors and ordered or shuffled practice, with printable answer keys.
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Ratios
Write ratios from word phrases
Turn twenty word phrases into fractions in simplest form. Practice ordered comparisons and distinguish “to” from “out of” a stated total.
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Ratios
Rates and unit rates
Write a labeled rate and calculate a unit rate for ten word phrases. Keep the units in order and round the final unit rate to two decimal places.
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Ratios
Mixed ratios and unit rates
Combine eight simplest-form ratio questions with eight rate and unit-rate questions. Practice choosing the correct representation and keeping units with every answer.
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Ratios
Ratio and rate word problems
Solve seven contextual problems using constant rates, time conversions, fuel use and better-buy comparisons. Answer linked scaling and unit-rate questions with separate worked keys.
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Percent
Common fraction, decimal and percent table
Print a common-percent reference chart or fill in missing fractions, decimals and percents. Include thirds and eighths, and choose exact, truncated or rounded values.
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Percent
Multiplying by powers-of-ten percents
Find 0.1%, 1%, 10%, 100% or 1000% of whole numbers and decimals. Print ten focused questions with numeric or word prompts and exact answer keys.
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Percent
Percentage calculations: part, whole and rate
Find a part, a whole or a percentage in ten configurable problems. Choose five equation forms, whole or decimal operands, word prompts and 1–3 decimal places.
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Percent
Converting percents, decimals and fractions
Practice all six conversion directions between percentages, decimals and fractions. Choose values below or above one, fractional percents, and printable simplified answer keys.
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Decimals
Multiplying decimals by powers of ten
Multiply decimals by 10, 100 or 1000. Choose tenths, hundredths or thousandths, the integer-part width and 12–25 vertical problems, with printable answer keys.
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Decimals
Ordering decimals
Order three or four decimals from least to greatest or greatest to least. Mix tenths, hundredths and thousandths, choose the whole-number part, and print 10–16 questions.
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Decimals
Subtracting decimals from whole numbers
Subtract decimals from whole numbers with up to four decimal places. Choose number ranges, optional trailing zeros, negative answers and 12–24 vertical problems.
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Estimation
Estimating sums and differences
Estimate addition and subtraction with two-, three- or four-digit numbers. Choose rounding guides or horizontal practice, an optional worked example and a separate answer key.
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Estimation
Estimating products
Round two- and three-digit factors, then estimate their product. Practice guided or horizontal multiplication, including mixed three-by-two-digit factors and nearest-hundred rounding.
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Estimation
Estimation word problems
Read original addition and subtraction stories, round the quantities to a stated place and give an estimated answer with its unit. Choose two-, three- or four-digit quantities.
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Rounding
Rounding whole numbers
Round positive whole numbers to the nearest ten, hundred or thousand. Choose fixed or mixed digit ranges, 10, 20 or 30 questions, and a separate answer key.
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Rounding
Rounding by comparison
Fill in the multiples immediately below and above each number, then circle the nearer value. Practice tens, hundreds or thousands with an optional worked example in each group.
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Rounding
Rounding decimals
Round decimals to the nearest tenth, hundredth or thousandth. Two groups add one then two extra decimal places, with exact answers that preserve the requested precision.
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Rounding
Rounding money
Round amounts to the nearest one or ten units with dollar, pound, euro or yen symbols. Print two groups of increasingly large amounts, with two-decimal-place answers.
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Factors
List all factors
Find every positive factor of a composite number. Choose numbers up to 50, 81, 144 or 200, with 10, 15 or 20 questions and a separate answer key.
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Factors
List distinct prime factors
Identify the different prime divisors of each composite number. List each prime once, using selectable ranges through 200 and a separate key.
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Factors
Prime factorization
Express composite numbers as products of primes, retaining repeated factors. Print 10, 15 or 20 questions for ranges up to 50, 81, 144 or 200.
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Factors
LCM and GCF of two or three numbers
Find the least common multiple and greatest common factor side by side. Choose two or three numbers per set, ranges through 120, and 10 or 12 questions.
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Function table
Addition and subtraction in-out boxes
Apply a given addition or subtraction rule, then infer a hidden rule from three complete pairs. Fourteen tables mix vertical and horizontal layouts.
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Function table
Input-output word problems
Start with six rule tables, then use one complete table from a school, sticker or ticket situation to answer four connected questions.
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Function table
Decimal addition and subtraction in-out boxes
Track one constant change through fourteen decimal tables. Choose tenths or hundredths, apply visible rules and infer hidden rules from complete pairs.
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Function table
Multiplication and division in-out boxes
Apply and identify exact multiplication or division rules across fourteen tables. Choose factors and divisors from 2 through 12.
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Function table
Linear function tables
Substitute five inputs into each of twelve linear rules. Choose whole or fractional slopes, signed or nonnegative inputs, and decimal or exact fraction answers.
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Numerical patterns
Complete numerical-rule series
Find and check a repeating numerical rule, then complete the last three terms. Choose Fibonacci, alternating addition and subtraction, or alternating multiplication with addition or subtraction.
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Skip counting
Times-table skip counting
Complete twelve multiples for each selected table from 2 through 12. Keep the first three clues together, or scatter the three clues across the row.
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Mixed operations
Single digit addition and subtraction
Mix addition and subtraction on one page using two selected digit pools. Choose 12 to 30 problems and a separate answer key.
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Mixed operations
Single digit mixed operators
Practice addition, subtraction and multiplication together with selected digits. Balanced operation choices encourage checking each sign.
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Mixed operations
Addition and subtraction with dots
Count dots beside both operands in twelve mixed addition and subtraction problems. Optional result dots provide additional counting support.
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Mixed operations
Horizontal mixed operations
Solve addition, subtraction and multiplication in horizontal form, choosing one-digit, two-digit or mixed operand widths.
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Mixed operations
Equality equations
Find one missing number in equations with addition or subtraction on both sides. Select operation pairs and a band for the known numbers.
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Mixed operations
Missing term addition and subtraction
Recover one missing term in a four-term expression containing two additions and one subtraction. Choose one-digit, two-digit or mixed terms.
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Mixed operations
Multi digit addition and subtraction
Mix vertical addition and subtraction with two through six digits, including focused no-regrouping and borrowing-into-zero practice.
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Mixed operations
Two digit addition and subtraction
Use a two-digit first operand and a one- or two-digit second operand in mixed vertical practice, with optional regrouping.
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Mixed operations
Decimal addition and subtraction
Add and subtract exact fixed-place decimals with one to three fractional digits and up to four digits left of the decimal.
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Mixed operations
Money addition and subtraction
Practice exact two-decimal arithmetic with dollar, pound, euro or yen symbols, including a genuine 25-problem option.
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Mixed operations
Signed mixed operations
Mix addition, subtraction and multiplication with positive and negative integers, or opt into balanced exact division practice. Choose positive, mixed-sign, or two-negative operands.
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Mixed operations
Missing number mixed operations
Recover a missing operand in exact addition, subtraction, multiplication and division facts using a selected letter symbol.
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Mixed operations
Timed mixed operation drills
Choose addition, subtraction, multiplication and division for 20-, 60- or 100-problem timed practice, or 25 or 30 untimed problems.
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Mixed operations
Missing digit mixed operations
Complete uniquely solvable digit blanks in two- to four-digit vertical addition and subtraction equations.
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Mixed operations
Irregular unit addition and subtraction
Mix fifteen compound-measurement calculations using feet and inches, pounds and ounces, hours and minutes, or minutes and seconds.
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Mixed operations
Four operation vertical practice
Practice six problems per operation in one document, with independent digit widths, regrouping settings and long-division remainder options.
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Mixed operations
Mixed operations with fractions
Solve twelve proper-fraction problems, three per operation, with exact reduced answers and worked keys. Choose grouped or randomized operation order.
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Graph
Draw single line graphs
Turn a data table into a line graph. Easy practice has five categories; hard practice has seven and an explicit conversion between table and axis units.
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Graph
Read single line graphs
Answer five questions from a completed line graph, from reading values and changes to combining quantities and explaining comparisons.
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Graph
Draw double line graphs
Plot two related series from one table on the same labeled grid. Use the legend to keep their points and lines distinguishable.
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Graph
Read double line graphs
Compare two series on a shared graph and answer five questions about values, changes, totals and differences.
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Graph
Read bar graphs
Use a completed bar chart to read values, find changes and comparisons, or calculate sums and differences in five focused questions.
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Graph
Draw bar graphs
Turn a five- or seven-category table into a bar chart. Hard practice adds an explicit conversion between the table values and axis units.
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Graph
Read pie charts
Interpret two six-category percentage distributions with five questions each. Optionally hide one recoverable share on each student chart.
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Graph
Interpret line plots
Read an easy categorical stacked-X display or a hard numerical frequency plot. Answer ten questions using the displayed key and data.
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Graph
Interpret pictographs
Use seven ordered categories and a whole-symbol key to answer seven questions about totals, comparisons and groups.
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Graph
Draw box-and-whisker plots
Find five-number summaries for three datasets, then draw each box plot on its labeled axis. Choose data lengths, order and number range.
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Graph
Five-number summaries
Calculate minimum, lower quartile, median, upper quartile and maximum for four or six datasets with 9–13 observations.
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Graph
Box-and-whisker word problems
Read two original data stories, complete their five-number summaries and draw box plots on the provided axes.
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Flash cards
Addition flash cards
Practice one fixed addend with every partner from zero through 9 or 12. Print the complete fact set with optional separate reference cards.
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Flash cards
Subtraction flash cards
Take away zero up to the chosen starting number, with no negative answers. Practice a complete fixed-number subtraction deck.
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Flash cards
Multiplication flash cards
Choose a fixed factor from 1–12 and practice its products with every factor from zero through 9 or 12.
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Flash cards
Division flash cards
Practice exact divisions by one fixed divisor from 1–12. Quotients cover every value from 1 through 9 or 12.
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Flash cards
Analog time flash cards
Read clocks using whole hours, selected minute patterns or positions on either half of the dial. Choose one to eight pages.
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Flash cards
U.S. coin flash cards
Recognize five U.S. coin fronts and connect their designs with values of 1, 5, 10, 25 and 50 cents.
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Flash cards
U.S. bill flash cards
Identify specimen fronts for seven U.S. banknotes, from one dollar to one hundred dollars.
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Flash cards
Shape flash cards
Name thirteen original shapes and discuss sides, corners and curves. Choose color or monochrome cards.
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Flash cards
Roman numeral flash cards
Read a fixed set of 56 Roman numerals: 1–31 and selected landmarks through 2000.
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Flash cards
Addition and subtraction family flash cards
Use complete sets of part–whole triangles, including zero and doubles. Choose wholes through 9, 12 or 18.
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Flash cards
Multiplication and division family flash cards
Connect factors, products and exact divisions in complete triangle decks through a larger factor of 9 or 12.
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Flash cards
Counting picture flash cards
Count original picture groups from one to twelve, with no numeral revealing the answer on the prompt card.
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Flash cards
Number recognition flash cards
Read random one-, two-, three- or four-digit whole numbers. Choose page count and 4, 8 or 10 cards per sheet.
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Flash cards
Money amount flash cards
Read numerical amounts in selected USD, GBP, EUR or JPY currencies, with zero or two decimal places and one to four whole-part digits.
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Flash cards
Fraction picture flash cards
Read equal-area fraction circles from selected denominator groups. Optionally label each equal part; reference cards identify the total shaded fraction.
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Flash cards
Basic Latin alphabet flash cards
Recognize the 26 basic Latin uppercase and lowercase pairs, Aa through Zz, on landscape cards.
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Printable word games
Kindergarten Sight Word Matching Cards
Print two cards for every selected kindergarten sight word, then cut, shuffle and use the complete deck for face-down pair matching.
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Printable word games
First Grade Sight Word Matching Cards
Print two cards for every selected first-grade sight word, then cut, shuffle and use the complete deck for face-down pair matching.
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Printable word games
Second Grade Sight Word Matching Cards
Print two cards for every selected second-grade sight word, then cut, shuffle and use the complete deck for face-down pair matching.
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Printable word games
Kindergarten Word Bingo
Print distinct kindergarten sight-word Bingo boards with a complete optional caller list. Each board uses every word in the selected set once.
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Printable word games
First Grade Word Bingo
Print distinct first-grade sight-word Bingo boards with a complete optional caller list. Each board uses every word in the selected set once.
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Printable word games
Second Grade Word Bingo
Print distinct second-grade sight-word Bingo boards with a complete optional caller list. Each board uses every word in the selected set once.
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Printable word games
Kindergarten Go Fish
Print two cards for every selected kindergarten sight word, then cut, shuffle and use the complete deck for an adapted Go Fish lesson.
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Printable word games
First Grade Go Fish
Print two cards for every selected first-grade sight word, then cut, shuffle and use the complete deck for an adapted Go Fish lesson.
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Printable word games
Second Grade Go Fish
Print two cards for every selected second-grade sight word, then cut, shuffle and use the complete deck for an adapted Go Fish lesson.
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Fact family
Addition and subtraction fact families
Use six number triangles to write two additions and two subtractions per family. Choose first addends from 1–12; the other addend is from 1–9.
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Fact family
Multiplication and division fact families
Connect two multiplication facts with two exact divisions in each of six triangles. Choose first factors from 2–11; the other factor is from 2–9.
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Fact family
Fact families with both addends selected
Choose at least three addends from 1–12 and use only those choices for both parts of six addition and subtraction triangles.
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Even and odd
Color even and odd numbers
Sort sixteen numbered circles by coloring even numbers blue and odd numbers amber. Choose a small starting range or extend the numbers to 100.
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Even and odd
Identify even and odd numbers
Write even or odd beside twenty different numbers. Choose a 0–20 starter range or practice larger values up to 200.
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Even and odd
Even and odd word problems
Classify fourteen numbers, then reason through a quantity, a sum of three numbers and a difference. Choose operand ranges from 0–500 through 1500–2000.
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Even and odd
Even and odd tables: small numbers
Work through sixty distinct values in three grids: color only odd numbers, only even numbers, then both groups. Choose ranges from 0–75 to 100–200.
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Even and odd
Even and odd tables: large numbers
Classify sixty different larger values in odd-only, even-only and mixed grids. Select 0–500, 500–1000, 1000–1500 or 1500–2000.
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Number line
Horizontal number lines
Print ten horizontal number lines with your own endpoints, whole-number or fractional steps, and six choices of tick labels.
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Number line
Vertical number lines
Make nine vertical number lines with values increasing upward. Choose endpoints, equal steps and the labels learners need.
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Number line
Adding on number lines
Solve five addition exercises by drawing two directed hops, or read the hops and complete the equation. Start within 10 or choose a larger range.
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Number line
Subtracting on number lines
Use five number-line exercises to draw subtraction hops or recover an equation from a diagram. Choose positive practice or signed numbers.
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Number line
Fractions on a number line
Print five fraction number lines with four targets each and a separate key. Choose reading or marking, twelve denominator groups and positive or negative fractions.
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Number line
Decimals on number lines
Locate four decimal values on each of five lines using halves, quarters, fifths, thirds, eighths or tenths. Choose plotting or reading practice.
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Number line
Mixed numbers on number lines
Plot or read four mixed numbers on each of five lines, with selectable denominators 2–10 and 12 and positive or mostly negative ranges.
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Hundreds chart
Hundreds chart
Print any exact hundred block from 0–99 through 901–1000, or choose one of 16 blank-cell percentages for missing-number practice.
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Hundreds chart
Advanced hundreds chart
Work on one consecutive hundred block chosen within 100, 200, 500 or 1,000. Print a reference or hide selected numbers.
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Hundreds chart
Colored hundreds chart
Explore a 1–100 or 0–99 chart with ten softly colored columns. Keep it complete or hide numbers for practice.
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Hundreds chart
Hundreds chart puzzles
Complete six original chart fragments from one given number in each. Connected and separated pieces retain their grid positions.
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Hundreds chart
Hundreds chart pictures
Color by number to reveal an original smiley face, a stylized American flag or a Christmas tree on a 1–100 grid.
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Hundreds chart
Counting to 120 chart
Extend counting beyond 100 with a ten-column, twelve-row chart from 1 to 120. Choose a complete chart or missing-number practice.
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Hundreds chart
Rounding chart with arrows
Use an 11-column reference chart with directional arrows to round numbers from 0 to 100 to the nearest ten.
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Hundreds chart
Rounding chart with colors
Read a labeled, softly colored 0–100 reference chart to see which numbers round down or up to the nearest ten.
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Hundreds chart
Hundreds chart letter puzzles
Choose any uppercase Latin letter A–Z and shade its listed numbers to reveal an original pixel letter on a 1–100 chart.
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Hundreds chart
Hundreds chart number puzzles
Reveal any digit 0–9 by shading its listed cells on a hundreds chart, with an original pixel design and a separate completed key.
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Number bonds
Horizontal number bonds
Find one missing part in two-part equations with a fixed whole from 5 to 100, six equation layouts and up to 30 problems.
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Number bonds
Number bond trees
Split a fixed whole from 5 to 100 into two or three parts, with a single missing child and an option to include or exclude zero.
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Time
Blank clock faces
Use printable clock-face templates for teacher demonstrations, hand-drawing practice and conversations about familiar daily routines.
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Time
Clock with cutout hands
Build a paper teaching clock with separate hands, then move them together to model times and discuss how a clock changes.
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Time
Teaching clock reference
Choose a time for a large clock reference and use its hands and digital label to explain how the two representations agree.
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Time
Read analog clocks
Read the two hands of an analog clock and record its time. Use generated practice or ordered custom times to focus a lesson.
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Time
Draw clock hands
Translate a written time into two correctly positioned clock hands, using generated practice or an ordered custom set of times.
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Time
Time before and after a clock
Read an original clock, then find times before or after it using separate hour-and-minute offsets.
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Time
Match analog and digital clocks
Connect each analog clock with the digital time that represents the same hour and minutes.
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Time
Complete analog and digital clocks
Complete the missing digital time or clock hands in a pair of displays that must show the same time.
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Time
Elapsed time between two clocks
Read a starting and ending analog clock, then calculate the amount of time that passes between them.
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Time
Elapsed time
Find elapsed time from digital starting and ending times. Choose hours, minutes or combined durations, the maximum duration and AM/PM labels, then print a worksheet and separate key.
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Time
Elapsed calendar time
Solve calendar word problems about dates, stays, ages and intervals using actual Gregorian dates and explicit counting rules.
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Time
Complete an elapsed-time table
Find a missing start time, end time or elapsed duration by using the other two entries in a row.
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Time
Convert time units
Complete equivalent time amounts and unit names, using the correct relationship between the units in each question.
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Time
Printable yearly calendar
Print a Gregorian calendar for a year from 1800 through 3999, with twelve Sunday-first month grids arranged in three columns and four rows.
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Money
Custom U.S. coins with extra space
Set six coin collections and count their dollar values using larger reference pictures and extra space between the coins.
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Money
Count U.S. bills
Identify pictured U.S. banknote denominations, group repeated notes and add their dollar values.
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Money
Count U.S. bills and coins
Combine reference pictures of banknotes and coins, keeping dollars and cents aligned in one exact total.
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Money
Identify U.S. coins
Recognize five reviewed U.S. coin designs from their faces and label the selected target denominations among distractors.
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Money
Write practice checks
Translate a fictional payment scenario into a clearly marked practice check, or print blank checks for a teacher-led lesson.
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Money
U.S. coin manipulatives
Print repeated reference pictures of one U.S. coin denomination for cutting, sorting and teacher-led counting demonstrations.
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Money
U.S. bill manipulatives
Print educational specimen fronts of one banknote denomination for classroom grouping, exchanges and role-play.
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Money
U.S. coin word problems
Read original coin stories, identify the relevant counts and find the value of one or several denomination groups.
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Money
Buy two item types
Find the total cost of two relevant purchase categories, including stories with more than one unit of an item.
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Money
Buy three item types
Organize three purchase categories, calculate any repeated-item costs and combine the subtotals into one amount.
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Money
Purchase and change word problems
Calculate the cost of a purchase, work out the amount paid and subtract to find the change due.
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Money
Count Australian Coins
Count configurable collections from the current six-denomination Australian coin profile using clear schematic teaching tokens.
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Money
Count Australian Banknotes
Count configurable collections of Australian banknote denominations using original schematic teaching representations.
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Money
Count Australian Banknotes and Coins
Combine Australian banknote and coin teaching tokens into one exact amount, with separate denomination subtotals in the key.
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Money
Australian Coin Teaching Tokens
Print 24 cuttable schematic tokens for one current Australian coin denomination, scaled consistently from the profile dimensions.
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Money
Australian Banknote Teaching Tokens
Print 10 one-sided schematic tokens for one current Australian banknote denomination in a measured two-column layout.
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Money
Count British Coins
Count configurable collections from all eight current UK circulating coin denominations.
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Money
Count British Banknotes
Count configurable collections of current Bank of England £5, £10, £20 and £50 denominations.
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Money
British Coin Teaching Tokens
Print 24 cuttable schematic tokens for one UK circulating coin denomination.
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Money
British Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one current Bank of England denomination.
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Money
Count Canadian Coins
Count configurable Canadian coin collections, including clearly labelled legacy 1¢ and uncommon 50¢ options.
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Money
Count Canadian Banknotes
Count configurable collections of Canadian $5, $10, $20, $50 and $100 denominations.
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Money
Count Canadian Banknotes and Coins
Count Canadian banknotes and coins together with separate maxima for each group.
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Money
Custom Canadian Coin Counting
Prescribe up to nine exact Canadian coin rows and print every nonzero row in its original slot order.
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Money
Canadian Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Canadian coin denomination.
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Money
Canadian Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Canadian banknote denomination.
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Money
Count Euro Coins
Count configurable collections from all eight euro coin denominations.
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Money
Count Euro Banknotes
Count configurable euro banknote collections with the legacy-valid €500 option clearly labelled.
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Money
Euro Coin Teaching Tokens
Print 24 cuttable schematic tokens for one euro coin denomination.
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Money
Euro Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one euro banknote denomination, including optional legacy-valid €500.
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Money
Count New Zealand Coins
Count configurable collections from all five current New Zealand coin denominations.
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Money
Count New Zealand Banknotes
Count configurable collections of current New Zealand $5, $10, $20, $50 and $100 banknotes.
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Money
New Zealand Coin Teaching Tokens
Print 24 cuttable schematic tokens for one current New Zealand coin denomination.
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Money
New Zealand Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one current New Zealand banknote denomination.
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Money
Count Japanese Coins
Count configurable collections from all six current Japanese coin denominations.
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Money
Count Japanese Banknotes
Count configurable collections of current Japanese ¥1,000, ¥2,000, ¥5,000 and ¥10,000 banknotes.
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Money
Japanese Coin Teaching Tokens
Print 24 cuttable schematic tokens for one current Japanese coin denomination.
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Money
Japanese Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one current Japanese banknote denomination.
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Money
Count Chinese Banknotes
Count configurable CNY banknote collections in yuan and jiao, with legacy and historical options labelled clearly.
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Money
Chinese Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Chinese yuan or jiao banknote denomination.
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Money
Count Hong Kong Coins
Count configurable collections from all seven Hong Kong coin denominations.
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Money
Hong Kong Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Hong Kong coin denomination.
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Money
Count Singapore Coins
Count configurable Singapore coin collections, including the clearly labelled legacy-valid 1c option.
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Money
Count Singapore Banknotes
Count configurable collections of Singapore S$2, S$5, S$10, S$50 and S$100 banknotes.
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Money
Singapore Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Singapore coin denomination.
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Money
Singapore Banknote Teaching Tokens
Print 12 cuttable schematic tokens for one Singapore banknote denomination.
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Money
Count Indian Coins
Count current-valid Indian coin values with optional historical 10p and 25p teaching tokens clearly labelled.
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Money
Count Indian Banknotes
Count Indian banknote values with legacy-valid ₹5 and optional historical ₹1000 status clearly labelled.
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Money
Indian Coin Teaching Tokens
Print 24 cuttable schematic tokens for one current or historical Indian coin denomination.
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Money
Indian Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one current, legacy-valid or historical Indian banknote denomination.
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Money
Count Indonesian Coins
Count configurable collections from all five Indonesian coin denominations.
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Money
Count Indonesian Banknotes
Count configurable collections of all seven Indonesian banknote denominations.
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Money
Indonesian Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Indonesian coin denomination.
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Money
Indonesian Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Indonesian banknote denomination.
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Money
Count Israeli Coins
Count configurable collections from all six current Israeli coin denominations.
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Money
Count Israeli Banknotes
Count configurable collections of current ₪20, ₪50, ₪100 and ₪200 banknote denominations.
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Money
Israeli Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Israeli coin denomination.
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Money
Israeli Banknote Teaching Tokens
Print 12 cuttable schematic tokens for one Israeli banknote denomination.
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Money
Count Korean Coins
Count configurable collections from all six Korean coin denominations.
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Money
Count Korean Banknotes
Count configurable collections of ₩1,000, ₩5,000, ₩10,000 and ₩50,000 banknotes.
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Money
Korean Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Korean coin denomination.
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Money
Korean Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Korean banknote denomination.
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Money
Count Mexican Coins
Count configurable collections from all nine Mexican coin denominations.
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Money
Count Mexican Banknotes
Count Mexican banknotes including the clearly labelled legacy-valid $10 option.
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Money
Mexican Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Mexican coin denomination.
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Money
Mexican Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Mexican banknote denomination.
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Money
Count Barbados Coins
Count five Barbados coin denominations, including the clearly labelled legacy-valid 1c coin.
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Money
Count Barbados Banknotes
Count configurable collections of Barbados $2, $5, $10, $20 and $50 banknotes.
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Money
Barbados Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Barbados coin denomination.
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Money
Barbados Banknote Teaching Tokens
Print 12 cuttable schematic tokens for one Barbados banknote denomination.
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Money
Count Belize Coins
Count configurable collections from six Belize coin denominations.
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Money
Count Belize Banknotes
Count Belize banknotes, including the clearly labelled legacy-valid $1 option.
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Money
Count Belize Banknotes and Coins
Choose the notes and coins, set a separate limit for each, and print a mixed-money worksheet.
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Money
Belize Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Belize coin denomination.
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Money
Belize Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Belize banknote denomination.
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Money
Count Bermuda Coins
Count configurable collections from all five current Bermuda coin denominations.
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Money
Count Bermuda Banknotes
Count configurable collections of current Bermuda $2, $5, $10, $20, $50 and $100 banknote values.
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Money
Bermuda Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Bermuda coin denomination.
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Money
Bermuda Banknote Teaching Tokens
Print 12 cuttable portrait-shaped schematic tokens for one Bermuda banknote denomination.
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Money
Count Brazilian Coins
Count Brazilian coins, including the clearly labelled valid but uncommon 1c option.
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Money
Count Brazilian Banknotes
Count Brazilian banknotes, including legacy-valid R$1 and optional current R$200 choices.
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Money
Count Brazilian Banknotes and Coins
Choose Brazilian notes and coins, set a separate limit for each, and print a mixed-money worksheet.
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Money
Brazilian Coin Teaching Tokens
Print 24 cuttable schematic tokens for one Brazilian coin denomination.
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Money
Brazilian Banknote Teaching Tokens
Print 10 cuttable schematic tokens for one Brazilian banknote denomination.
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Money
Count Brunei Coins
Choose Brunei coin values, set the maximum number of each coin, and print four or eight counting questions with a separate answer key.
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Money
Count Brunei Banknotes
Choose from all nine Brunei banknote values and print four or eight counting questions with a separate answer key.
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Money
Brunei Coin Teaching Tokens
Choose one Brunei coin denomination and print 24 cuttable schematic teaching tokens.
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Money
Brunei Banknote Teaching Tokens
Choose one Brunei banknote denomination and print 12 cuttable schematic teaching tokens.
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Money
Count Cayman Islands Coins
Choose Cayman Islands coin values, set the maximum number of each coin, and print four or eight counting questions with a separate answer key.
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Money
Count Cayman Islands Banknotes
Choose Cayman Islands banknote values and print four or eight counting questions with a separate answer key.
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Money
Cayman Islands Coin Teaching Tokens
Choose one Cayman Islands coin denomination and print 24 cuttable schematic teaching tokens.
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Money
Cayman Islands Banknote Teaching Tokens
Choose one Cayman Islands banknote denomination and print 12 cuttable schematic teaching tokens.
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Money
Count Czech Coins
Choose Czech koruna coin values, set the maximum number of each coin, and print four or eight counting questions with a separate answer key.
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Money
Count Czech Banknotes
Choose Czech koruna banknote values and print four or eight counting questions with a separate answer key.
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Money
Czech Coin Teaching Tokens
Choose one Czech koruna coin denomination and print 24 cuttable schematic teaching tokens.
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Money
Czech Banknote Teaching Tokens
Choose one Czech koruna banknote denomination and print 10 cuttable schematic teaching tokens.
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Money
Count Danish Coins
Choose current Danish coin values or the clearly marked historical 25-øre option, then print four or eight counting questions with a separate answer key.
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Money
Count Danish Banknotes
Choose current Danish banknotes or the clearly marked historical 1000-kroner option, then print four or eight counting questions with a separate answer key.
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Money
Danish Coin Teaching Tokens
Choose one Danish coin denomination and print 24 cuttable schematic teaching tokens, including the historical 25-øre option.
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Money
Danish Banknote Teaching Tokens
Choose one Danish banknote denomination and print 10 cuttable schematic teaching tokens, including the historical 1000-kroner option.
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Money
Count Dominican Coins
Choose Dominican peso coin values, set the maximum number of each coin, and print four or eight counting questions with a separate answer key.
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Money
Count Dominican Banknotes
Choose current Dominican peso banknotes, including the optional 20-peso value, and print four or eight counting questions with a separate answer key.
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Money
Dominican Coin Teaching Tokens
Choose one Dominican peso coin denomination and print 24 cuttable schematic teaching tokens.
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Money
Dominican Banknote Teaching Tokens
Choose one Dominican peso banknote denomination and print 10 cuttable schematic teaching tokens.
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Money
Count East Caribbean Coins
Choose all seven source coin values or deselect the withdrawn 1c/2c and 2011 commemorative $2 teaching values, then print four or eight counting questions with a separate answer key.
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Money
Count East Caribbean Banknotes
Choose Eastern Caribbean $5, $10, $20, $50 and $100 banknotes, set the maximum number of each note, and print four or eight counting questions with a separate answer key.
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Money
East Caribbean Coin Teaching Tokens
Choose one Eastern Caribbean coin denomination and print 24 cuttable schematic teaching tokens, including clearly labelled withdrawn and commemorative options.
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Money
East Caribbean Banknote Teaching Tokens
Choose one Eastern Caribbean banknote denomination and print exactly 12 cuttable schematic teaching tokens.
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Money
Count Egyptian Coins
Choose five Egyptian coin teaching values, including the additional 5- and 10-piastre denominations whose present circulation is unverified, then print four or eight counting questions with a separate answer key.
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Money
Count Egyptian Banknotes
Choose nine Egyptian banknote values, including clearly marked older 25-piastre, 50-piastre and 1-pound issues that remain legal tender, then print four or eight counting questions with a separate answer key.
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Money
Egyptian Coin Teaching Tokens
Choose one Egyptian coin denomination and print 24 cuttable schematic teaching tokens with piastre and pound labels.
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Money
Egyptian Banknote Teaching Tokens
Choose one Egyptian banknote denomination and print exactly 10 cuttable schematic teaching tokens, including clearly marked older low-note choices.
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Money
Count Jamaican Coins
Choose seven Jamaican coin teaching values with the first five selected by default, including historical 1c, 10c and 25c coins withdrawn in 2018, then print four or eight counting questions with a separate answer key.
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Money
Count Jamaican Banknotes
Choose all five Jamaican banknote values and print four or eight counting questions with a separate answer key.
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Money
Jamaican Coin Teaching Tokens
Choose one Jamaican coin denomination and print 24 cuttable schematic teaching tokens, including clearly labelled historical cent choices.
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Money
Jamaican Banknote Teaching Tokens
Choose one Jamaican banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Jordanian Coins
Choose all five Jordanian coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Jordanian Banknotes
Choose all five Jordanian banknote values and print four or eight counting questions with a separate answer key.
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Money
Jordanian Coin Teaching Tokens
Choose one Jordanian coin denomination and print 24 cuttable schematic teaching tokens with qirsh, piastre or dinar labels.
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Money
Jordanian Banknote Teaching Tokens
Choose one Jordanian banknote denomination and print exactly 12 cuttable schematic teaching tokens.
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Money
Count Kenyan Coins
Choose all six Kenyan coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Kenyan Banknotes
Choose all five Kenyan banknote values and print four or eight counting questions with a separate answer key.
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Money
Kenyan Coin Teaching Tokens
Choose one Kenyan coin denomination and print 24 cuttable schematic teaching tokens with clear cent or shilling labels.
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Money
Kenyan Banknote Teaching Tokens
Choose one Kenyan banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Namibian Coins
Choose all five Namibian coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Namibian Banknotes
Choose all five Namibian banknote values and print four or eight counting questions with a separate answer key.
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Money
Namibian Coin Teaching Tokens
Choose one Namibian coin denomination and print 24 cuttable schematic teaching tokens with clear cent or N$ labels.
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Money
Namibian Banknote Teaching Tokens
Choose one Namibian banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Nigerian Coins
Choose all three Nigerian coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Nigerian Banknotes
Choose all eight Nigerian banknote values and print four or eight counting questions with a separate answer key.
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Money
Nigerian Coin Teaching Tokens
Choose one Nigerian coin denomination and print 24 cuttable schematic teaching tokens with clear 50k or ₦ labels.
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Money
Nigerian Banknote Teaching Tokens
Choose one Nigerian banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Norwegian Coins
Choose all four Norwegian coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Norwegian Banknotes
Choose all five Norwegian banknote values and print four or eight counting questions with a separate answer key.
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Money
Norwegian Coin Teaching Tokens
Choose one Norwegian coin denomination and print 24 cuttable schematic teaching tokens with clear NOK faces.
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Money
Norwegian Banknote Teaching Tokens
Choose one Norwegian banknote denomination and print exactly 12 cuttable schematic teaching tokens.
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Money
Count Pakistan Coins
Choose all three current Pakistan coin teaching values and print four or eight counting questions with a separate answer key.
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Money
Count Pakistan Banknotes
Choose all eight Pakistan banknote teaching values, including the historical PKR 5 note that is no longer legal tender, and print four or eight counting questions with a separate answer key.
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Money
Pakistan Coin Teaching Tokens
Choose one current Pakistan coin denomination and print 24 cuttable schematic teaching tokens with clear PKR faces.
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Money
Pakistan Banknote Teaching Tokens
Choose one Pakistan banknote denomination and print exactly 10 cuttable schematic teaching tokens; the PKR 5 note is marked historical and no longer legal tender.
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Money
Count Philippine Coins
Choose the five source-default Philippine coin values or add either higher piso coin, then print four or eight questions with a separate answer key. The older 10-sentimo coin remains legal tender after natural attrition.
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Money
Count Philippine Banknotes
Choose all six Philippine banknote teaching values, including legal-valid 20- and 200-piso notes, and print four or eight questions with a separate answer key.
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Money
Philippine Coin Teaching Tokens
Choose one Philippine coin denomination and print 24 cuttable schematic teaching tokens; the 10-sentimo option remains legal tender without historical artwork.
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Money
Philippine Banknote Teaching Tokens
Choose one Philippine banknote denomination and print exactly 10 cuttable schematic teaching tokens; legal-valid values retain their precise status descriptions.
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Money
Count Russian Coins
Choose the first six Russian coin values or add the 5-ruble and 10-ruble coins, then print four or eight counting questions with a separate answer key.
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Money
Count Russian Banknotes
Choose all five Russian banknote teaching values and print four or eight counting questions with a separate answer key.
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Money
Russian Coin Teaching Tokens
Choose one Russian coin denomination and print 24 cuttable schematic teaching tokens with exact RUB faces.
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Money
Russian Banknote Teaching Tokens
Choose one Russian banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Rwandan Coins
Choose Rwandan coin values and print four or eight counting questions with a separate answer key.
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Money
Count Rwandan Banknotes
Choose Rwandan banknote values and print four or eight counting questions with a separate answer key.
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Money
Rwandan Coin Teaching Tokens
Choose one Rwandan coin denomination and print 24 cuttable schematic teaching tokens with clear RWF faces.
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Money
Rwandan Banknote Teaching Tokens
Choose one Rwandan banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count South African Coins
Choose the first five South African coin values or add R2 and R5, then print four or eight counting questions with a separate answer key.
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Money
Count South African Banknotes
Choose all five South African banknote values and print four or eight counting questions with a separate answer key.
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Money
South African Coin Teaching Tokens
Choose one South African coin denomination and print 24 cuttable schematic teaching tokens; the 5c option remains legal tender although minting was discontinued.
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Money
South African Banknote Teaching Tokens
Choose one South African banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Swiss Coins
Choose all seven Swiss coin values or a checked subset, then print four or eight exact CHF counting questions with a separate answer key.
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Money
Count Swiss Banknotes
Choose all six Swiss banknote values or a checked subset, then print four or eight exact CHF counting questions with a separate answer key.
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Money
Swiss Coin Teaching Tokens
Choose one Swiss coin denomination and print 24 cuttable schematic teaching tokens.
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Money
Swiss Banknote Teaching Tokens
Choose one Swiss banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Thai Coins
Choose the default 25- and 50-satang coins or any checked subset of nine Thai coin values, then print four or eight exact THB counting questions with a separate answer key.
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Money
Count Thai Banknotes
Choose all six Thai banknote teaching values or a checked subset, then print four or eight exact THB counting questions with a separate answer key.
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Money
Thai Coin Teaching Tokens
Choose one Thai coin denomination and print 24 cuttable schematic teaching tokens. The 1-, 5- and 10-satang choices are labelled as accounting-use issues.
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Money
Thai Banknote Teaching Tokens
Choose one Thai banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Trinidad and Tobago Coins
Choose the five default coin denominations or any nonempty subset of seven teaching values, then print four or eight exact TTD counting questions with a separate answer key.
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Money
Count Trinidad and Tobago Banknotes
Choose the four default banknote denominations or any nonempty subset of five teaching values, then print four or eight exact TTD counting questions with a separate answer key.
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Money
Trinidad and Tobago Coin Teaching Tokens
Choose one Trinidad and Tobago coin denomination and print 24 cuttable schematic teaching tokens. The 1-cent denomination is marked withdrawn.
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Money
Trinidad and Tobago Banknote Teaching Tokens
Choose one Trinidad and Tobago banknote denomination and print exactly 12 cuttable schematic teaching tokens.
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Money
Count United Arab Emirates Coins
Choose all three United Arab Emirates coin denominations or any nonempty subset, then print four or eight exact AED counting questions with a separate answer key.
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Money
Count United Arab Emirates Banknotes
Choose the five default banknote denominations or any nonempty subset of eight teaching values, then print four or eight exact AED counting questions with a separate answer key.
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Money
United Arab Emirates Coin Teaching Tokens
Choose one United Arab Emirates coin denomination and print 24 cuttable schematic teaching tokens.
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Money
United Arab Emirates Banknote Teaching Tokens
Choose one United Arab Emirates banknote denomination and print exactly 12 cuttable schematic teaching tokens.
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Money
Count West African CFA Coins
Choose all eight West African CFA franc coin teaching values or any nonempty subset, then print four or eight exact XOF counting questions with a separate answer key.
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Money
Count West African CFA Banknotes
Choose all five West African CFA franc banknote teaching values or any nonempty subset, then print four or eight exact XOF counting questions with a separate answer key.
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Money
West African CFA Coin Teaching Tokens
Choose one West African CFA franc coin denomination and print 24 cuttable schematic teaching tokens.
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Money
West African CFA Banknote Teaching Tokens
Choose one West African CFA franc banknote denomination and print exactly 10 cuttable schematic teaching tokens.
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Money
Count Peruvian Coins
Choose all seven Peruvian coin teaching values, including the 5-céntimo coin withdrawn from circulation but still legal tender, and print four or eight counting questions with a separate answer key.
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Money
Count Peruvian Banknotes
Choose all five Peruvian banknote teaching values, including the native 200-soles value, and print four or eight counting questions with a separate answer key.
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Money
Peruvian Coin Teaching Tokens
Choose one Peruvian coin denomination and print 24 cuttable schematic teaching tokens; the 5-céntimo option remains legal tender.
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Money
Peruvian Banknote Teaching Tokens
Choose one Peruvian banknote denomination and print exactly 10 cuttable schematic teaching tokens using current sol or soles wording.
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Fractions
Fraction teaching aids
Use fraction circles or bars to discuss equal parts, unit fractions and different names for the same amount.
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Fractions
Identify and shade visual fractions
Read a fraction from a partitioned shape or shade equal parts to represent a stated fraction.
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Fractions
Visual fraction addition
Use equal-part models to see why adding fractions with a shared denominator combines their numerators.
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Fractions
Add fractions with the same denominator
Add like fractional units within one whole, simplify the total and recognize when the sum makes exactly one.
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Fractions
Add fractions with common denominators
Rename fractions as equivalent amounts with a common denominator before finding and simplifying their sum.
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Fractions
Add three fractions
Coordinate three equivalent-fraction conversions and combine all three addends using one common denominator.
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Fractions
Add mixed numbers
Combine whole-number and fractional parts, renaming fractional totals that make an additional whole.
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Fractions
Visual fraction subtraction
Use equal-part models to remove a fractional amount and connect the remaining parts to a subtraction equation.
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Fractions
Subtract fractions with the same denominator
Subtract amounts expressed in the same fractional unit, then simplify the difference without changing its value.
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Fractions
Subtract fractions with common denominators
Rename unlike fractions using a common unit before calculating and simplifying their difference.
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Fractions
Subtract three fractions
Subtract two successive fractional amounts from a starting fraction while tracking a common denominator.
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Fractions
Subtract fractions from whole numbers
Rename part of a whole number as fractional units to subtract a fraction accurately.
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Fractions
Subtract mixed numbers
Subtract whole and fractional parts, with focused practice that can include exchanging a whole when needed.
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Fractions
Three-fraction addition or subtraction practice
Choose a three-term addition or subtraction lesson and keep the common-unit method consistent with the selected operation.
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Fractions
Multiplying fractions
Create a multiplying fractions worksheet with 10 or 15 proper-fraction problems, three denominator ranges, exact reduced products, and a separate answer key.
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Fractions
Cross-cancel before multiplying fractions
Reduce common numerator and denominator factors before multiplication to keep the product calculation manageable.
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Fractions
Multiply mixed numbers
Convert mixed numbers into single fractions before multiplying and expressing the product clearly.
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Fractions
Multiply fractions and whole numbers
Connect a fraction times a whole number with finding that fraction of an amount.
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Fractions
Dividing fractions
Create a dividing fractions worksheet with 10 or 15 proper-fraction problems, three difficulty ranges, exact reduced answers, and a separate answer key.
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Fractions
Divide mixed numbers
Convert mixed quantities to improper fractions, divide them exactly and interpret the resulting quotient.
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Fractions
Divide fractions and whole numbers
Practice both a fraction divided by a whole number and a whole number divided by a fraction, preserving their different meanings.
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Fractions
Prime factor trees
Break composite numbers into factor pairs until every branch ends in a prime, retaining repeated factors.
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Fractions
Find the greatest common factor
Find the greatest common factor of positive integer pairs. Choose a maximum of 24, 40, 60 or 120 and 10, 15 or 20 questions, with a separate answer key.
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Fractions
Find the least common multiple
Find the smallest positive multiple shared by two numbers and use it to plan common-denominator work.
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Fractions
Equivalent fractions with missing numbers
Find a missing numerator or denominator that makes two fraction values equal, including blanks whose exact value is fractional.
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Fractions
Equivalent fractions
Print an equivalent fractions worksheet with 10 rows of seven equal fractions, six one-part blanks per row, four denominator sets, and a separate answer key.
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Fractions
Simplifying fractions to lowest terms
Print simplifying fractions worksheets for positive proper fractions, with a separate key. Choose answer denominators, 10, 20 or 30 questions and optional no-repeat practice.
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Fractions
Convert fractions and decimals
Convert fractions to decimals with explicit rounding and convert finite written decimals back to exact fractions.
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Fractions
Compare fractions with a shared numerator or denominator
Compare positive fractions by separating the number of parts from the size of each part, then explain the comparison rule.
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Fractions
Convert mixed numbers and improper fractions
Rename quantities greater than one as a mixed number or a single improper fraction without changing their value.
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Fractions
Powers of fractions
Evaluate exact powers of fractional bases, with selected integer or rational exponents and explicit attention to signs and reciprocals.
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Fractions
Add tape-measure fractions
Add fractional amounts using the halves, fourths, eighths and finer binary divisions found on inch tape measures.
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Fractions
Add whole and fractional inches
Add inch measurements with whole and fractional parts, regrouping an extra inch when the fractions total more than one.
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Fractions
Subtract tape-measure fractions
Find differences between fraction-only lengths using binary inch subdivisions and exact common-denominator subtraction.
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Fractions
Subtract whole and fractional inches
Subtract mixed inch measurements, exchanging a whole inch for fractional parts when the calculation requires it.
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Fractions
Inch fraction and decimal reference chart
Look up all 63 nonzero sixty-fourths of an inch as reduced and equivalent binary fractions with exact six-place decimals.
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Fractions
Find a fractional part or the whole
Find a fraction of a known amount or recover an unknown whole from a given fractional part.
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Fractions
Fractional inches with borrowing
Add or subtract whole, proper-fraction and mixed-inch quantities, with targeted practice in exchanging a whole inch.
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Fractions
Feet and fractional inches
Add and subtract compound lengths with feet, whole inches and fractional inches, preserving both unit exchanges.
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Fractions
Order fractions
Arrange a group of fractions in the requested direction using exact comparisons and a consistent common unit.
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Measurement
Reading a metric ruler
Read eight marked endpoints on 10 cm scale windows that may begin from 1 cm through 89 cm, using increments from 1 cm to 0.5 mm.
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Measurement
Measuring in inches
Measure eight actual-size line segments up to 6 inches with any nonempty mix of whole through 1/32-inch lengths and six ruler-display choices.
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Measurement
Measuring in centimeters or millimeters
Measure eight actual-size line segments up to 15 cm, with whole-centimeter, half-centimeter and millimeter categories plus optional rulers and cm/mm answers.
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Measurement
Metric unit conversions
Practice twenty exact decimal conversions from 0.01 through 999,990 across any nonempty subset of ten metric length, capacity and mass pairs, in both directions.
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Measurement
U.S. customary unit conversions
Practice sixteen rounded conversions across any nonempty subset of sixteen U.S. customary length, weight, volume, area and speed relationships, with values from hundredths through large real-world magnitudes.
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Measurement
U.S. customary conversion chart
Use a one-page exact reference for sixteen directional relationships among customary length, avoirdupois weight, area and speed units.
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Measurement
Liquid measure conversions
Complete sixteen exact equivalent-measure equations from any nonempty subset of sixteen U.S. customary liquid practice groups, including distinct fractional-cup and whole-cup ranges.
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Measurement
U.S. liquid measure table
Complete ten rows and forty-two cells of exact U.S. customary liquid equivalents, with two-known, one-known or complete-reference modes.
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Measurement
Converting feet and inches
Practice sixteen exact conversions among compound feet-and-inches lengths, total inches and whole feet, with fractional precision through sixteenths, thirty-seconds or sixty-fourths.
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Measurement
English and metric conversions
Practice twenty conversions across any nonempty subset of twenty-one English, U.S. customary and metric pairs, with balanced directions and up to four decimal places.
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Measurement
English and metric conversion chart
Use a one-page, thirty-eight-row reference for nineteen non-nautical pairs in both directions, with exact factors distinguished from rounded factors.
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Measurement
Fahrenheit and Celsius conversions
Practice sixteen Fahrenheit/Celsius conversions in either direction or eight of each, with optional formulas and negative-temperature ranges.
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Measurement
Temperature conversion chart
Keep four exact formulas for Celsius, Fahrenheit and kelvin conversions on one printable page.
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Measurement
Reading graduated cylinders
Read twelve zoomed graduated cylinders across five selectable capacities and graduation sizes, including values halfway between printed marks.
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Measurement
Reading a rain gauge
Read fifteen zoomed rain gauges in inches or centimeters with tenth-unit divisions, half-unit intermediate ticks and whole-unit labels.
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Measurement
Reading a thermometer
Read ten thermometers over four selectable signed ranges in Fahrenheit or Celsius, including odd-degree values halfway between 2-degree marks.
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Measurement
Reading a barometer
Read nine original pressure dials in inches of mercury, millibars or a balanced mix, recording the setting, measuring reading and pressure trend for twenty-seven responses.
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Measurement
Printable protractors
Print one or two original semicircular protractor faces with one-degree ticks and opposing ten-degree number rings.
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Measurement
Reading protractors
Read two diagrams with three rays each and answer six named angles per diagram for twelve marks, either on printed faces or with a separate protractor.
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Measurement
Drawing inch and metric lengths
Draw ten requested physical lengths from a fixed start tick using exact inch fractions, centimeters or millimeters.
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Measurement
Reading an architectural ruler
Read eight absolute fractional-inch endpoints on enlarged bilateral scales with either compound feet-and-inches or total-inch station labels.
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Measurement
Reading a decimal ruler
Read eight absolute endpoints on enlarged five-inch windows divided into exact tenths.
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Measurement
Reading an engineering ruler
Read eight absolute endpoints in decimal feet on enlarged half-foot windows divided into hundredths.
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Measurement
Reading rulers and tape measures
Read eight absolute fractional-inch endpoints on a standard ruler or tape measure, through thirty-seconds.
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Calculus
Evaluating Limits at Infinity with Graphs
Use equations with blank or completed coordinate graphs to evaluate exact polynomial, rational, exponential, and logarithmic limits at infinity.
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Calculus
Evaluating Limits at Infinity
Practice exact positive- and negative-infinity limits for polynomial, rational, trigonometric, exponential, and logarithmic functions.
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Calculus
Determining Continuity
Practice exact continuity intervals and one-sided-limit reasoning for piecewise, absolute-value, kinked-polynomial, and rational functions.
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Calculus
Determining Continuity from Graphs
Read completed graphs or sketch exact piecewise, absolute-value, kinked-polynomial, and rational functions before finding continuity intervals.
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Calculus
Area Under a Curve
Practice exact total geometric area for polynomial, trigonometric, and exponential functions across supplied intervals.
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Calculus
Area Between Curves worksheets
Practice exact area between polynomial curves with intersection-derived or supplied limits, x or y integration, and every order-changing crossing split correctly.
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Calculus
Volume Using Cross Sections
Practice exact volumes whose square, rectangular, or right-triangular cross sections stand on widths through semicircular, semi-oval, and elliptical bases.
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Calculus
Volumes Using Cylindrical Shells
Practice exact shell-method volumes from quadratic and cubic regions rotated about vertical or horizontal axes.
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Calculus
Volumes of Washers and Disks
Practice exact disk and washer volumes for regions between intersecting polynomial curves, including shifted axes.
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Systems of equations
Systems of Three Equations worksheets
Solve three-variable linear systems by true elimination or substitution, including one solution, infinitely many solutions, and no solution.
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Calculus
Linear Approximation worksheets
Construct exact linearizations for polynomial, exponential and trigonometric functions, then estimate nearby values to four decimal places.
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Calculus
Higher Order Derivatives worksheets
Differentiate exact sparse power sums through the second, third, fourth or fifth derivative using prime or Leibniz notation.
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Calculus
Implicit Differentiation worksheets
Find dy/dx from implicit polynomial equations with separate powers, mixed products and composite powers.
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Calculus
Logarithmic Differentiation worksheets
Differentiate variable powers, products and quotients with exact real-domain guidance.
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Calculus
Derivatives of Inverse Functions worksheets
Find explicit inverses and differentiate affine, power, rational, logarithmic and exponential inverse pairs with exact domains.
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Calculus
Inverse Function Derivatives by Formula worksheets
Apply the inverse-function derivative theorem to polynomial functions, write g' in terms of g, and evaluate exact point derivatives on certified local branches.
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Calculus
Horizontal Tangents worksheets
Find every exact coordinate where polynomial, rational-polynomial, and trigonometric functions have horizontal tangent lines.
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Calculus
Critical Points worksheets
Find, classify, and plot exact polynomial critical coordinates, then report complete increasing and decreasing intervals.
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Calculus
Concavity worksheets
Find exact polynomial inflection coordinates and complete concave-up and concave-down intervals with second-derivative sign analysis.
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Calculus
Absolute Extrema worksheets
Find exact absolute minimum and maximum values of quadratic, cubic, and quartic polynomials on the real line or a stated closed interval.
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Calculus
Mean Value Theorem worksheets
Find every exact interior value where a derivative equals the secant slope for polynomial, trigonometric, exponential, and logarithmic functions.
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Calculus
Graphing Differentials worksheets
Compare the exact change on a polynomial or trigonometric curve with the tangent-line differential on an actual reference graph.
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Calculus
Logarithmic and Exponential Integrals worksheets
Practice exact direct antiderivatives for multiples of 1/x, e^x, and integer-base exponential functions.
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Calculus
General Differential Equations worksheets
Find exact general solutions of first-order differential equations whose right side is polynomial, rational, or trigonometric.
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Calculus
Solving Separable Equations worksheets
Solve genuinely y-dependent first-order separable equations with exact implicit solutions, connected-domain restrictions, and restored equilibrium solutions.
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Calculus
Drawing and Identifying Slope Fields worksheets
Draw exact direction fields or recover a degree-at-most-two differential equation from 49 slope segments and six exact readings.
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Calculus
Graphing Solutions on Slope Fields worksheets
Graph one valid antiderivative curve on a supplied slope field for polynomial, rational, and trigonometric differential equations.
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Calculus
Exponential Growth and Decay worksheets
Build and solve contextual continuous, periodic, doubling, half-life, and observation-based exponential models.
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Calculus
Newton's Method worksheets
Approximate a real zero of polynomial and trigonometric functions through repeated Newton updates.
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Calculus
Newton's Method for Roots worksheets
Approximate positive square through sixth roots with the specialized Newton update.
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Calculus
L'Hopital's Rule worksheets
Evaluate indeterminate quotient limits with justified, repeated applications of L'Hopital's Rule.
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Calculus
Optimization worksheets
Maximize area or volume under geometric constraints with a complete feasible-domain argument.
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Calculus
Related Rates worksheets
Differentiate geometric constraints with respect to time and solve unit-aware instantaneous rates.
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Calculus
Understanding Motion worksheets
Analyze polynomial position for velocity, direction changes, direction intervals, and displacement.
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Calculus
Graphing from Function Properties worksheets
Analyze exact intercepts, critical points, inflection points, behavior intervals, concavity, and relative extrema before sketching a function.
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Calculus
Horizontal Tangents on Graphs worksheets
Plot or inspect polynomial, rational, and trigonometric functions and identify every horizontal tangent coordinate in the displayed interval.
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Calculus
Graphing Derivatives worksheets
Sketch derivative graphs from aligned polynomial, rational, and trigonometric function graphs, with an optional explicit equation.
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Calculus
Summation Properties worksheets
Evaluate finite sums with linearity, supplied sums, constant sums, and power-sum formulas through cubes.
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Geometry
Identify Quadrilaterals Worksheets
Name seven types of quadrilaterals using side, parallel and right-angle marks, with a separate answer key.
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Geometry
Identify Quadrilaterals and Polygons Worksheets
Mix marked quadrilaterals with regular polygons from pentagons through dodecagons in twelve naming tasks.
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Geometry
Quadrilateral Angle Sum Worksheets
Find missing interior angles using the 360-degree sum, with diagram or listed-angle formats and optional decimal practice.
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Geometry
Parallelogram Properties Worksheets
Use consecutive angles, opposite sides, bisected diagonals and diagonal-split angles in direct or algebra practice.
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Geometry
Trapezoid Properties Worksheets
Practice same-leg angles, isosceles-trapezoid diagonals, midsegments and missing bases with direct or algebra questions.
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Geometry
Mixed Shapes Area and Perimeter Worksheets
Mix triangles, quadrilaterals and regular polygons on nine-question worksheets. Select 17 shape types, units and area or perimeter practice, with worked answers.
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Geometry
Line Segment Construction Worksheets
Construct midpoints, perpendicular bisectors and parallel lines using a compass and straightedge.
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Geometry
Angle Construction Worksheets
Copy angles and construct 60-degree and 90-degree angles with printable compass-and-straightedge exercises.
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Geometry
Angle Bisector Construction Worksheets
Bisect standalone angles and triangle angles, with clear givens, drawing space and separate construction keys.
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Geometry
Perpendicular Bisector Construction Worksheets
Construct perpendicular bisectors of segments and triangle sides on printable worksheets.
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Geometry
Circle Construction Worksheets
Construct circles from a supplied center and radius or from a given diameter, with separate step-by-step keys.
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Geometry
Triangle Construction Worksheets
Construct equilateral and three-side triangles from supplied segments with usable paper workspace.
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Geometry
Triangle Altitude Construction Worksheets
Construct altitudes of acute, right and obtuse triangles, including extensions of opposite sides.
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Geometry
Triangle Median Construction Worksheets
Construct triangle medians by bisecting the opposite side and joining its midpoint to the named vertex.
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Algebra 2
Complex Fraction Worksheets
Simplify numerical and algebraic complex fractions, with selectable difficulty levels and original-domain restrictions in the answer key.
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Algebra 2
Two-Equation Word Problem Worksheets
Build and solve systems of two equations from printable stories, with variable-definition lines and worked contextual answers.
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Algebra 2
Systems of Inequalities Graph Choice Worksheets
Choose the correct printed solution graph for a system of inequalities, with selectable forms and two problems per page.
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Geometry
Point Location with Angles Worksheets
Classify points as interior, exterior or on an angle using nine clear ray diagrams, with a separate answer key.
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Geometry
Angle Addition Worksheets
Find a missing angle part or whole using the angle addition postulate, with whole numbers, tenths or hundredths and worked answers.
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Geometry
Alternate Angles Worksheets
Find two missing alternate interior angles on marked parallel-line diagrams, with whole degrees, tenths or hundredths.
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Geometry
Corresponding Angles Worksheets
Use matching positions at parallel-line intersections to find missing corresponding angles, with three precision options.
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Geometry
Find All Missing Angles Worksheets
Find seven missing angles from one given on parallel lines, or mix in right-angle split diagrams for complementary-angle reasoning.
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Geometry
Identify Regular Polygons Worksheets
Name regular polygons with five through twelve sides using clear, rotated diagrams and a separate answer key.
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Geometry
Regular Polygon Angles Worksheets
Find one interior angle, one exterior angle and the interior-angle sum for regular polygons with five through twelve sides.
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Geometry
Regular Polygon Area and Perimeter Worksheets
Identify regular polygons and calculate area or perimeter from side lengths and clearly marked approximate apothems, with worked answers.
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Geometry
Triangle Angle Bisectors Worksheets
Practice equal half-angles, incenter distances and right triangles with clear diagrams and worked answers.
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Geometry
Triangle Medians Worksheets
Use midpoint facts and the centroid’s 2:1 ratio to find missing lengths, with integer, decimal and algebraic-expression practice.
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Geometry
Triangle Inequality Theorem Worksheets
Decide whether side lengths make a triangle and find the possible range of a third side, using whole numbers or tenths.
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Geometry
Order Triangle Angles Worksheets
Use side lengths to order opposite angles or identify the largest and smallest angles, with diagrams and named triangles.
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Geometry
Order Triangle Sides Worksheets
Use angle measures to order opposite sides or identify the longest and shortest sides, with diagrams and named triangles.
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Geometry
Centroid from a Graph Worksheets
Read triangle vertices on a coordinate grid and calculate the centroid with exact answers.
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Geometry
Centroid from Vertices Worksheets
Find triangle centroids from three given vertices, with exact integer or fraction coordinates.
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Geometry
Identify Solid Figures Worksheets
Name cubes, prisms, pyramids, cylinders, cones and spheres in a 12-question printable worksheet with an answer key.
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Geometry
Nets of Solids Worksheets
Identify solids from their nets and sketch nets for prisms, pyramids, cylinders and cones, with printable example answers.
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Geometry
Similar Solids Worksheets
Identify similar solid figures from labelled lengths and sketch scaled copies, with exact scale factors and example solutions.
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Geometry
Surface Area and Volume Formula Handout
Print a reference for cubes, rectangular and general prisms, cylinders, pyramids, cones and spheres, with definitions and formula assumptions.
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Trigonometry
Law of Sines worksheets
Solve AAS, ASA, and ambiguous SSA triangles, including cases with zero, one, or two valid solutions.
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Trigonometry
Law of Cosines worksheets
Find a missing side from SAS data or a missing angle from SSS data, with acute and obtuse examples.
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Probability
Counting Applications worksheets
Choose among the multiplication principle, ordered selections without replacement, and unordered combinations in varied finite contexts.
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Probability
Conditional Probability worksheets
Compare conditional and joint probabilities using complete two-way count tables and two sequential draws without replacement.
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Calculus II
Sequence Limits and Partial Sums worksheets
Practice explicit and recursive limits, finite partial sums, divergence, and monotone-bounded reasoning.
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Calculus II
Series Convergence Tests and Error Bounds worksheets
Apply integral, comparison, alternating, root, and ratio tests with absolute/conditional classification and remainder bounds.
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Calculus II
Power Series Intervals of Convergence worksheets
Find radii and intervals, test both endpoints separately, and track endpoint changes under termwise operations.
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Calculus II
Taylor Series Approximations and Error worksheets
Represent standard functions, approximate nearby values, and apply alternating or Lagrange error bounds.
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Calculus
Parametric Calculus worksheets
Differentiate bounded polynomial and trigonometric parametric curves, classify tangents, and calculate speed, arc length, and enclosed area.
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Calculus
Polar Calculus worksheets
Find polar slopes and tangents, area over one trace, and bounded arc length for familiar circle, cardioid, rose, limacon, and spiral curves.
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Calculus
Separable Initial-Value Problems worksheets
Solve bounded separable IVPs while preserving equilibrium branches and maximal valid intervals.
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Calculus
Euler Method worksheets
Build explicit Euler recurrence tables with configurable step size, number of steps, and initial point.
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Calculus
First-Order Linear and Logistic Equations worksheets
Use integrating factors for linear IVPs and solve or interpret bounded logistic models.
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Precalculus
Tangent, Cotangent, Secant, and Cosecant Graphs
Analyze, draw, and write transformed reciprocal-trigonometric graphs with numerical scales, exact anchors, periods, and vertical asymptotes.
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Precalculus
Advanced Trigonometric Identities
Apply sum, difference, double-angle, half-angle, power-reduction, and product-sum identities with explicit domain and sign conditions.
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Precalculus
Advanced Trigonometric Equations
Solve factored, quadratic-in-form, identity-rewrite, double-angle, and multiple-angle equations over bounded or general scopes.
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Precalculus
Function Transformations
Map key points across shifts, reflections, stretches, and compressions for seven common parent-function families.
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Precalculus
Sinusoidal Modeling
Build exact sine or cosine models from noiseless extrema, tables, or graphs in circular, tide, seasonal, and harmonic contexts.
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Precalculus
Complex Numbers in Polar Form
Convert polar and rectangular forms, multiply and divide, apply De Moivre's theorem, and list all roots through fourth degree.
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Precalculus
Polar Conic Sections
Normalize, classify, graph, and write focus-at-pole polar conics from eccentricity and an axis-parallel directrix.
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Calculus
Trapezoid and Simpson Numerical Integration worksheets
Approximate definite integrals from formulas or tables with composite trapezoid and Simpson rules.
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Calculus
Exponential and Logarithmic Derivatives worksheets
Differentiate base-e, general-base, and logarithmic functions with chain, product, and quotient rules.
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Calculus
Intermediate Value Theorem worksheets
Check continuity and endpoint bracketing before making existence or no-guarantee conclusions.
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Calculus
Accumulation, Average Value, and Net Change worksheets
Interpret definite integrals as signed change, average value, and recovery from an initial amount.
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Calculus
Arc Length and Surface Area worksheets
Set up x- and y-direction arc length and surface-area integrals with friendly exact evaluation cases.
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Calculus
Work by Integration worksheets
Model spring, cable-lifting, and tank-pumping work with force-distance integrals and exact units.
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Calculus II
Trigonometric Powers and Products worksheets
Practice parity-based sine/cosine and secant/tangent integrals with exact definite and indefinite results.
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Calculus II
Trigonometric Substitution Integrals worksheets
Use the three standard radical substitutions with domain-controlled simplification and explicit back-substitution.
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Calculus II
Partial Fraction Integration worksheets
Decompose proper rational functions with distinct, repeated, or irreducible quadratic factors and integrate exactly.
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Calculus II
Improper Integrals worksheets
Classify and evaluate infinite-bound and singular integrals using one-sided limits, including interior splits.
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Precalculus
Parametric Equations worksheets
Trace oriented parametric curves, eliminate parameters without losing domains, create parameterizations, and interpret projectile motion.
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Precalculus
Polar Coordinate Conversions worksheets
Convert exact points and bounded line or circle equations between rectangular and polar forms, including negative-radius equivalents.
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Precalculus
Polar Function Graphs worksheets
Build key-value tables, test symmetry, graph full polar curves, and identify circle, cardioid, limacon, rose, and lemniscate families.
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Precalculus
Vectors in the Plane worksheets
Find components, magnitude, direction, unit vectors, operations, displacement resultants, and dot products in two dimensions.
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Probability
Total Probability and Bayes' Theorem worksheets
Practice forward total probability and reverse conditional probability with explicit two- and three-source partitions.
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Probability
Discrete Probability Distributions worksheets
Use valid finite probability tables to find missing entries, event probabilities, expected value, and population variance.
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Probability
Binomial Distribution worksheets
Calculate exact, at-most, and at-least binomial probabilities plus mean and variance for bounded trial counts.
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Probability
Geometric Distribution worksheets
Model the number of trials through the first success using exact, cumulative, tail, mean, and variance questions.
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Statistics
Variance and Standard Deviation worksheets
Calculate population and sample spread from small data sets with explicit n and n - 1 denominators, units, and final rounding.
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Statistics
Z-Scores worksheets
Calculate z-scores, recover original values, and compare relative positions across data sets with positive standard deviations.
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Statistics
Normal Distribution worksheets
Standardize normal values, find below, above, and between probabilities, and invert the model for percentiles and central intervals.
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Statistics
Scatterplots and Correlation worksheets
Construct and read labeled scatterplots from actual paired observations, calculate Pearson r, and interpret linear association without claiming causation.
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Statistics
Linear Regression and Residuals worksheets
Fit ordinary least-squares lines with intercepts, predict responses, calculate observed-minus-predicted residuals, and identify extrapolation.
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Probability
Continuous PDFs and CDFs worksheets
Normalize bounded polynomial densities, integrate probabilities and moments, build piecewise CDFs, recover PDFs, and invert CDFs for quantiles.
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Probability
Uniform Distribution worksheets
Use support length for density, clipped interval and conditional probabilities, piecewise CDFs, quantiles, mean, and variance.
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Probability
Poisson Distribution worksheets
Scale a constant event rate to an exposure, then calculate exact, cumulative, tail, mean, and variance results for Poisson counts.
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Probability
Exponential Distribution worksheets
Work with exponential waiting-time CDFs, survival probabilities, intervals, quantiles, moments, rate-mean conversion, and memorylessness.
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Probability
Joint Discrete Distributions worksheets
Use numeric joint PMF tables for CDFs, events, marginals, conditionals, moments, and independence.
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Probability
Joint Continuous Distributions worksheets
Integrate densities on rectangular and triangular supports for probabilities, CDFs, marginals, conditionals, and independence.
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Probability
Covariance of Random Variables worksheets
Calculate covariance and correlation from joint PMFs or paired data with explicit denominators.
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Probability
Sampling Distributions and the CLT worksheets
Find moments and probabilities for means and sums, distinguish exact normal results from CLT approximations, and use continuity correction.
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Probability
Density Histograms and the LLN worksheets
Convert unequal-width bin counts to density and area, then interpret supplied repeated-sampling summaries.
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Probability
Compound Counting and Probability worksheets
Reconstruct two- and three-set totals, count compound outcomes, and calculate collision probabilities by complements.
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Probability
Independence and Base Rates worksheets
Check independence in rational tables and compare Bayesian posteriors under different priors.
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Probability
Discrete CDFs, Transformations, and Moments worksheets
Build step CDFs, find quantiles, merge transformed PMFs, and apply weighted moment rules.
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Probability
Bernoulli and Normal Model Selection worksheets
Distinguish Bernoulli from binomial counts and identify normal support, PDF parameters, variance, and standard deviation.
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Probability
Continuous Random Variable Transformations worksheets
Transform supports, CDFs, and PDFs for affine, square, square-root, and two-preimage mappings.
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Statistics
Parameters, Statistics, and Inference worksheets
Classify study stages, identify observations and parameters, reject invalid statistics, and compute sample summaries.
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Statistics
Likelihood and MLE worksheets
Write and compare likelihoods, find bounded analytic MLEs, and handle normal variance and support-dependent uniform endpoints.
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Statistics
Discrete Bayesian Updating worksheets
Complete prior-likelihood-posterior tables, compare sequential and batch evidence, and handle zero priors or impossible evidence.
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Statistics
Bayesian Prediction and Odds worksheets
Form predictive mixtures, convert odds and probability, update odds with Bayes factors, and interpret evidence direction.
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Statistics
Continuous-Prior Bayesian Updating worksheets
Normalize polynomial prior-likelihood products, integrate evidence, predict future outcomes, and distinguish density from point mass.
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Statistics
Beta Conjugate Priors worksheets
Normalize integer-shape Beta densities, interpret strength, update Bernoulli/binomial/geometric data, and predict.
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Statistics
Normal Conjugate Priors worksheets
Update a normal mean with known observation variance using precision weights and verify sequential consistency.
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Statistics
Prior Choice and Sensitivity worksheets
Compare priors under identical data, contrast weak and strong priors, preserve zero prior mass, and justify prior choices.
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Statistics
Credible Intervals worksheets
Calculate discrete and continuous posterior interval mass, equal-tail intervals, interpretations, and quantile-based prior choices.
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Statistics
Hypothesis Tests, Errors, and Power worksheets
Design null and alternative hypotheses, choose rejection sets, and compute Type I error, Type II error, and power.
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Statistics
Exact Binomial and Known-Sigma z Test worksheets
Run exact one- and two-sided binomial tests and known-sigma z tests from raw data or summaries.
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Statistics
One-Sample, Paired, Pooled, and Welch t Test worksheets
Select and run one-sample, paired, equal-variance pooled, and unequal-variance Welch t tests.
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Statistics
Chi-Square Goodness-of-Fit and Independence worksheets
Build expected counts and calculate Pearson X2 or likelihood-ratio G for categorical data.
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Statistics
One-Way ANOVA worksheets
Compute between and within sums of squares, complete ANOVA tables, and interpret omnibus F tests.
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Statistics
Bayesian Claims versus NHST Claims worksheets
Compare p-values, error rates, and posterior hypothesis probabilities without reversing their conditioning.
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Statistics
Normal-Data Confidence Intervals worksheets
Construct z and t mean intervals, chi-square variance intervals, inspect coverage, and invert a two-sided test.
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Statistics
Large-Sample Confidence Intervals worksheets
Use conservative proportion bounds, the approximate 95% rule, and CLT intervals for general means.
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Statistics
Bootstrap Confidence Intervals worksheets
Build empirical PMFs, calculate supplied resample statistics, and form percentile and basic bootstrap intervals.
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Statistics
Least-Squares Curve Models worksheets
Compare supplied line, quadratic, cubic, and transformed exponential models using residuals and SSE.
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Statistics
Regression Model Diagnostics worksheets
Read finite residual plots, compare held-out errors, assess influential points, and reason about regression to the mean.
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Statistics
Multiple Regression Introduction worksheets
Use a supplied two-predictor equation to identify variables, predict, calculate residuals and SSE, and write the least-squares objective.
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