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Ratios and Proportions Worksheet Generator

Generate free ratio and proportion worksheets with missing values, unit rates, and verified integer answers.

Verified answersGenerated with deterministic math
20 verified problemsSeed 482731
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Worksheet #482731
Ratios practice

Ratios & Proportions

Name Date
  1. 10:5 = 60:n
  2. 4:3 = 12:n
  3. 8:5 = 56:n
  4. 9:2 = 18:n
  5. 2 items cost $12. Cost per item?
  6. 8 items cost $72. Cost per item?
  7. 2 items cost $10. Cost per item?
  8. 5:4 = 20:n
  9. 5:2 = 15:n
  10. 6 items cost $48. Cost per item?
  11. 10:6 = 50:n
  12. 9:3 = 63:n
  13. 10:10 = 30:n
  14. 2 items cost $8. Cost per item?
  15. 10:9 = 40:n
  16. 9:2 = 45:n
  17. 7 items cost $28. Cost per item?
  18. 3 items cost $24. Cost per item?
  19. 8 items cost $32. Cost per item?
  20. 3 items cost $21. Cost per item?
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What is ratios & proportions?

A ratio compares two quantities. A proportion states that two ratios are equivalent and can be solved with a scale factor or cross products.

How to solve ratios & proportions

  1. Identify corresponding quantities in both ratios.
  2. Find the scale factor or form equal cross products.
  3. Solve the missing value and substitute it back to verify equivalent ratios.

Worked example

3:5 = 12:n

  1. 3 is multiplied by 4 to make 12.
  2. Multiply 5 by 4 as well.

Answer: n = 20

Common mistakes

  • Switching the order of only one ratio.
  • Adding the scale factor instead of multiplying.
  • Comparing quantities with different units before converting them.

Practice tips

  • Label what each part of the ratio represents.
  • Simplify both ratios to check whether they are equivalent.