MathDrillSheets
Ratios & Proportions•Grade 7•Timed Drill

Grade 7 Ratios & Proportions Timed Drill

Grade 7 ratios and proportions timed drill sheet: 60 problems on unit rates, equivalent ratios, simplifying ratios.

CCSSAligned to Common Core 7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Start the timer, then solve as many problems as you can. Write your time in the box when you finish.

TIMED DRILLTime: ______ min ______ secScore: ______ / 60
  1. 1.
    56 pages in 4 days = ___ pages per day
  2. 2.
    3:3 = 6:___
  3. 3.
    Simplify the ratio 24:42.
  4. 4.
    88 pages in 8 days = ___ pages per day
  5. 5.
    6:7 = 24:___
  6. 6.
    Simplify the ratio 24:18.
  7. 7.
    102 miles in 6 hours = ___ miles per hour
  8. 8.
    2:7 = ___:28
  9. 9.
    Simplify the ratio 14:21.
  10. 10.
    $220.00 for 4 items = $___ per item
  11. 11.
    5:4 = 15:___
  12. 12.
    Simplify the ratio 56:42.
  13. 13.
    $60.00 for 12 items = $___ per item
  14. 14.
    6:5 = 24:___
  15. 15.
    Simplify the ratio 12:14.
  16. 16.
    459 pages in 9 days = ___ pages per day
  17. 17.
    8:9 = 64:___
  18. 18.
    Simplify the ratio 28:56.
  19. 19.
    $112.00 for 7 items = $___ per item
  20. 20.
    3:1 = ___:3
  21. 21.
    Simplify the ratio 18:72.
  22. 22.
    636 miles in 12 hours = ___ miles per hour
  23. 23.
    1:3 = ___:24
  24. 24.
    Simplify the ratio 25:40.
  25. 25.
    374 pages in 11 days = ___ pages per day
  26. 26.
    6:6 = 12:___
  27. 27.
    Simplify the ratio 45:5.
  28. 28.
    88 miles in 4 hours = ___ miles per hour
  29. 29.
    7:5 = ___:30
  30. 30.
    Simplify the ratio 81:9.
  31. 31.
    369 pages in 9 days = ___ pages per day
  32. 32.
    7:4 = 49:___
  33. 33.
    Simplify the ratio 16:32.
  34. 34.
    $27.00 for 3 items = $___ per item
  35. 35.
    5:9 = 10:___
  36. 36.
    Simplify the ratio 8:4.
  37. 37.
    $48.00 for 6 items = $___ per item
  38. 38.
    7:5 = ___:35
  39. 39.
    Simplify the ratio 42:18.
  40. 40.
    304 pages in 8 days = ___ pages per day
  41. 41.
    5:3 = ___:12
  42. 42.
    Simplify the ratio 36:42.
  43. 43.
    564 miles in 12 hours = ___ miles per hour
  44. 44.
    9:2 = 72:___
  45. 45.
    Simplify the ratio 9:27.
  46. 46.
    114 pages in 3 days = ___ pages per day
  47. 47.
    1:6 = ___:24
  48. 48.
    Simplify the ratio 54:48.
  49. 49.
    $28.00 for 7 items = $___ per item
  50. 50.
    9:7 = ___:42
  51. 51.
    Simplify the ratio 10:15.
  52. 52.
    245 pages in 5 days = ___ pages per day
  53. 53.
    1:9 = ___:36
  54. 54.
    Simplify the ratio 30:36.
  55. 55.
    280 miles in 10 hours = ___ miles per hour
  56. 56.
    6:8 = ___:40
  57. 57.
    Simplify the ratio 36:40.
  58. 58.
    144 pages in 4 days = ___ pages per day
  59. 59.
    6:2 = 48:___
  60. 60.
    Simplify the ratio 63:28.

What this worksheet covers

This is a 60-problem timed drill for grade 7 ratios and proportions, printed in black and white with the key on page two. What makes this set particular: operands run to two decimal places, so the decimal points have to be lined up rather than the right-hand digits and the quantities are amounts of money, so answers need a dollar or cent sign to be complete. Problems 21 and 41, for instance, are "Simplify the ratio 18:72." and "5:3 = ___:12". The sheet sits inside Common Core 7.RP.1, in the grade 7 Ratios & Proportional Relationships strand.

Skills practised

Grade 7 ratios and proportions means solving proportions, unit rates, the constant of proportionality and scale drawings. What a student is asked to do here is unit rates, equivalent ratios, and simplifying ratios. To finish it, a student has to keep the decimal points aligned, carry money notation through to the answer, and reason backwards from a result to a missing part. 46 different answers appear across the 60 problems, so a student cannot copy one result down the page.

About the timed drill format

The timer box at the top has room for minutes, seconds and a score out of 60; a realistic target for a page like this, where problem 21, "Simplify the ratio 18:72." is a typical item, is three to four minutes. Equivalent ratios and simple unit rates recalled quickly are multiplication facts wearing a different coat.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 31 is "369 pages in 9 days = ___ pages per day", Set B's is "62 pages in 2 days = ___ pages per day".

How to use this worksheet

Have the student estimate before computing, then compare. At grade 7 an ratios and proportions answer that is wildly off should announce itself, and building that reflex matters as much as the 60 answers. Keep the key face down until all 60 problems are finished, then go through the misses together rather than only totalling the score.

Other grade 7 ratios and proportions formats

The same skill in the other formats available at this grade.

  • Drill — Grade 7 Ratios & Proportions Drill, 30 problems
  • Missing Number — Grade 7 Ratios & Proportions Missing Number, 24 problems
  • Mixed Review — Grade 7 Ratios & Proportions Mixed Review, 30 problems
  • Word Problems — Grade 7 Ratios & Proportions Word Problems, 10 problems

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Timed Drill sheets in other grade 7 topics

Print as many copies of this grade 7 ratios and proportions timed drill as you need; Sets A, B and C and their keys are six separate PDFs, all free.

← All grade 7 ratios and proportions worksheetsRatios & Proportions, every gradeGrade 7 mathBuild your own in the generatorCommon Core 7.RP.1

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