Small practice
brighter futures.
Checking sign-in status
Menu

Logic practice

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.

Ready-made English PDF · fixed settings

Worksheet · LetterWorksheet · A4
Customize worksheet ↓
With answer key

Customization below makes a separate PDF.

First page of the determine truth values worksheets printable worksheetOpen full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Determine the truth of each fact, then evaluate the compound proposition. The key records the atomic values and final answer.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
Customize this worksheet

Paper sizes and printing help · More logic activities

Separate facts from the rule that combines them

Each question starts with numerical facts that have definite truth values. Easy forms combine two propositions; medium forms negate a whole compound; hard forms group two operators over three propositions.

Choose words, symbols or a mixture. The grouping remains explicit, and the answer key shows the atomic truth values as well as the final result.

A narrow selection can repeat the available expression forms. Use New problems to make another reproducible set, or return to the same settings link when you need the same questions.

Learning objective

What this activity builds

Find each atomic truth value and combine those values according to the exact grouping of a statement.

Worked example

Is NOT (“12 is even” AND “5 is greater than 9”) true?

True.

The two facts are T and F. Their conjunction is F. NOT reverses that compound result to T.

Teaching notes

Make the practice count

  • Separate checking the facts from applying the connective.
  • Choose one sentence form before mixing difficulty levels.
  • Read verbal and symbolic versions aloud with the same grouping.
  • For hard questions, evaluate the parenthesized part first.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose the operators or statement forms, update the preview and print the same resolved questions.

Worksheet settings

Sentence forms
Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Determine Truth Values · US Letter

Preview ready. Download includes these exact pages.

2 student pages
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScore/ 10TeacherDateDetermine Truth ValuesUse the stated facts to decide whether each proposition is true or false.T = True; F = False1.not ((if 3 < 8, then 10 is 12))2.Given: p: 2 > 6; q: 14 is even; r: 3 < 8((pq)r)3.(11 > 5 and (17 is odd or 10 is 12))4.Given: p: 25 is divisible by 4; q: 42 is divisible by 7(pq)5.not ((3 < 8 and 14 is even))6.Given: p: 10 is 12; q: 11 > 5(pq)7.not ((4 is 9 or 12 is odd))math-sheet.comPage 1 / 2
Math SheetNameScore/ 10TeacherDateDetermine Truth ValuesUse the stated facts to decide whether each proposition is true or false.T = True; F = False8.Given: p: 42 is divisible by 7; q: 11 > 5(pq)9.(if 10 is 12, then (14 is even and 42 is divisible by 7))10.Given: p: 24 is divisible by 6; q: 42 is divisible by 7((pq))math-sheet.comPage 2 / 2

A useful next step

Related activities

First page preview: Logic definitions reference sheet

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.

Preview and download
First page preview: Complete truth tables worksheets

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.

Preview and download
First page preview: Law of detachment worksheets

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.

Preview and download