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.
Preview and downloadRatios and rates practice
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.
Ready-made English PDF · fixed settings
Customization below makes a separate PDF.
Fixed English ready-made files. Custom settings below apply only to the configured PDF.
Ready to print
Start with a ready-made worksheet
Count each kind of shape. Write the first-to-second ratio, then simplify it. If the second question is included, compare the second group with the total of both groups.
Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.
Customize this worksheetPaper sizes and printing help · More ratios and rates activities
Choose the practice, then print
Ready-made English PDFs are available in Letter and A4, with student-only and separate-answer options. The image previews show the first page; downloads include every page.
Use the generator to change the available question settings, paper, language, teacher note or seed. Tables offer three or six problems. Equivalent rows let you change order and gaps independently.
Learning objective
What this activity builds
Connect counted quantities to ordered ratios and distinguish a part-to-part comparison from a part-to-whole comparison.
Worked example
An array contains 6 circles and 9 stars. Write circles to stars, then stars to all shapes.
6:9 = 2:3; 9:15 = 3:5.
There are 15 shapes altogether. Divide both terms of 6:9 by 3 to get 2:3, and both terms of 9:15 by 3 to get 3:5. The second comparison has a different denominator because it refers to the whole.
Teaching notes
Make the practice count
- Use rows and columns to organize counting before reducing the ratio.
- Say the two quantities aloud in the requested order before writing numbers.
- Begin with the part-to-part question alone, then add the optional part-to-whole question.
- Ask learners to explain why the counted ratio and simplest ratio describe the same relationship.
Make it yours
Customize the practice
Choose your options, update the preview, then download the exact same pages.
Enlarged pages scroll. PDF size stays the same.
A useful next step
Related activities
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.
Preview and download
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.
Preview and download