Equivalent ratios worksheets
Missing numbers in equivalent ratios, ratio tables and checking whether two ratios are equivalent.
Every question uses the same idea: multiply or divide both parts by the same number. The last part asks children to write equivalent ratios of their own.
Download the free equivalent ratios worksheet (PDF)
Equivalent ratios worksheet
What’s on the worksheet
- 32 questions on equivalent ratios, sized for US Letter paper
- 2 pages of questions plus an answer key on the last page
- Written for grade 6, matching Common Core 6.RP.A.3a
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- 9 : 12 = 21 : ?
- 15 : 20 = ? : 12
- Complete the ratio table for 1 cup of juice to 3 cups of water
- Are 8 : 10 and 20 : 25 equivalent?
- Are 10 : 6 and 30 : 19 equivalent?
- Write two ratios equivalent to 3 : 4
Quick reference: equivalent ratios
Equivalent ratios describe the same mix. To make one, multiply or divide both parts by the same number: 2 : 3 = 4 : 6 = 10 : 15. Adding the same number to both parts does not work.
- Missing number: find the scale factor between the parts you know, then use it on the other part.
- Check a pair: simplify both ratios, or cross-multiply and compare the products.
- Ratio table: every row is the first row times a number.
For pictures and a quiz, see the equivalent ratios lesson. Check answers with the ratio calculator.
Preview the worksheet and answer key
Make a new equivalent ratios worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh equivalent ratios worksheet with different numbers every time. Choose how many questions, print it with its own answer key, or let your child take it on screen and see the score straight away.
Equivalent ratios: a worked example (6 : 9 = 10 : ?)
- Simplify the first ratio: 6 : 9 = 2 : 3.
- 10 is 2 × 5, so multiply the 3 by 5 too.
- 3 × 5 = 15, so 6 : 9 = 10 : 15.
- Check by cross-multiplying: 6 × 15 = 90 and 9 × 10 = 90.
How to use it at home and in class
At home
Use a recipe. Ask how much of each ingredient you need for double or half the amount, and write the new ratio each time. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Adding the same number to both parts instead of multiplying.
- Multiplying only one part of the ratio.
- Mixing up the columns in a ratio table.
What to practice before and after equivalent ratios
- Before: ratios. If this sheet is a struggle, go back a step.
- After: ratio tables, once this one is mostly right.
- Learn it first: the equivalent ratios lesson.
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Questions parents ask
How do you know if two ratios are equivalent?
Simplify both and compare, or cross-multiply. 6 : 9 and 10 : 15 give 6 × 15 = 90 and 9 × 10 = 90, so they are equivalent.
What grade is this equivalent ratios worksheet for?
It is written for grade 6 and matches Common Core standard 6.RP.A.3a.
Can I get a different version of this equivalent ratios worksheet?
Yes. Use the free Mathify Kids test maker to make a new equivalent ratios worksheet with different numbers every time, with its own answer key.