FreeMath
Grade 7hard

Ratio and Proportion Quiz

Ratios and proportions show up everywhere in seventh and eighth grade math — scaling recipes, map distances, similar triangles, and percent problems all reduce to setting up a proportion correctly. This quiz tests the core skill of solving for the missing value in a/b = c/d, also known as cross-multiplying. If your student is hesitating on these, the issue is usually setup, not arithmetic — make sure they're matching units consistently across the proportion (girls/boys = girls/boys, not girls/boys = boys/girls).

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All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

  1. 1.Solve: 2/5 = x/15
  2. 2.Solve: 4/4 = 12/x
  3. 3.Solve: 3/7 = x/28
  4. 4.Solve: 7/5 = 28/x
  5. 5.Solve: 8/3 = x/18
  6. 6.Solve: 4/5 = 24/x
  7. 7.Solve: 3/6 = x/12
  8. 8.Solve: 2/2 = 4/x
  9. 9.Solve: 7/2 = x/6
  10. 10.Solve: 2/8 = 6/x
  11. 11.Solve: 2/7 = x/42
  12. 12.Solve: 3/6 = 18/x
  13. 13.Solve: 4/8 = x/48
  14. 14.Solve: 7/3 = 42/x
  15. 15.Solve: 2/2 = x/8
  16. 16.Solve: 3/2 = 18/x
  17. 17.Solve: 7/8 = x/48
  18. 18.Solve: 4/3 = 8/x
  19. 19.Solve: 7/3 = x/6
  20. 20.Solve: 3/2 = 9/x
Show answer key
  1. 1.Solve: 2/5 = x/15 Answer: 6
  2. 2.Solve: 4/4 = 12/x Answer: 12
  3. 3.Solve: 3/7 = x/28 Answer: 12
  4. 4.Solve: 7/5 = 28/x Answer: 20
  5. 5.Solve: 8/3 = x/18 Answer: 48
  6. 6.Solve: 4/5 = 24/x Answer: 30
  7. 7.Solve: 3/6 = x/12 Answer: 6
  8. 8.Solve: 2/2 = 4/x Answer: 4
  9. 9.Solve: 7/2 = x/6 Answer: 21
  10. 10.Solve: 2/8 = 6/x Answer: 24
  11. 11.Solve: 2/7 = x/42 Answer: 12
  12. 12.Solve: 3/6 = 18/x Answer: 36
  13. 13.Solve: 4/8 = x/48 Answer: 24
  14. 14.Solve: 7/3 = 42/x Answer: 18
  15. 15.Solve: 2/2 = x/8 Answer: 8
  16. 16.Solve: 3/2 = 18/x Answer: 12
  17. 17.Solve: 7/8 = x/48 Answer: 42
  18. 18.Solve: 4/3 = 8/x Answer: 6
  19. 19.Solve: 7/3 = x/6 Answer: 14
  20. 20.Solve: 3/2 = 9/x Answer: 6

Want more practice? See all Grade 7 practice →