Grade 6 Ratios & Proportions Drill
Grade 6 ratios and proportions drill sheet: 30 problems on equivalent ratios, simplifying ratios.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Solve each problem. Show your work in the space provided.
- 1.9:9 = 72:___
- 2.Simplify the ratio 16:8.
- 3.7:3 = ___:21
- 4.Simplify the ratio 12:18.
- 5.9:6 = ___:24
- 6.Simplify the ratio 48:18.
- 7.6:2 = ___:8
- 8.Simplify the ratio 8:32.
- 9.5:1 = ___:4
- 10.Simplify the ratio 18:4.
- 11.9:9 = ___:18
- 12.Simplify the ratio 36:27.
- 13.5:6 = 35:___
- 14.Simplify the ratio 14:35.
- 15.8:2 = 24:___
- 16.Simplify the ratio 63:56.
- 17.3:7 = ___:21
- 18.Simplify the ratio 40:5.
- 19.9:5 = ___:30
- 20.Simplify the ratio 40:35.
- 21.6:4 = 12:___
- 22.Simplify the ratio 24:15.
- 23.8:4 = ___:16
- 24.Simplify the ratio 27:63.
- 25.3:4 = 6:___
- 26.Simplify the ratio 24:16.
- 27.4:8 = 12:___
- 28.Simplify the ratio 40:48.
- 29.4:4 = 32:___
- 30.Simplify the ratio 30:10.
What this worksheet covers
30 ratios and proportions problems fill this drill page; problem 11 asks "9:9 = ___:18", and the sheet stays at that level throughout. What makes this set particular: the numbers run as high as 72. Further down, problem 21 asks "6:4 = 12:___". Common Core 6.RP.3 is the slot this page fills.
Skills practised
The grade 6 ratios and proportions sequence covers writing and simplifying ratios, equivalent ratios, ratio tables, unit rates and ratios as percents; this page sits inside it. What a student is asked to do here is equivalent ratios and simplifying ratios. To finish it, a student has to reason backwards from a result to a missing part. 27 different answers appear across the 30 problems, so a student cannot copy one result down the page.
About the drill format
This drill runs 30 problems in a steady layout, so the eye never has to hunt for the next one; problem 11, "9:9 = ___:18" shows the level it holds. A run of proportions or unit rates lets the setup become mechanical so attention can move to the reasoning.
Set A, Set B and Set C
The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 16 is "Simplify the ratio 63:56.", Set B's is "Simplify the ratio 21:27.".
How to use this worksheet
Work it without a calculator. Every one of the 30 ratios and proportions problems is designed to be done by hand, and reaching for a calculator at grade 6 skips exactly the reasoning being built. Date the drill before filing it. Set C from six weeks later is the cheapest evidence you have that the ratios and proportions stuck.
One mistake to watch for
A ratio is written in the wrong order: boys to girls given as girls to boys. Watch problem 21 of this drill — "6:4 = 12:___" — for this one.
The order of the words in the question is not being mapped to the order of the numbers.
Write the labels first — boys : girls — and fill the numbers under them.
Other grade 6 ratios and proportions formats
The same skill in the other formats available at this grade.
- Timed Drill — Grade 6 Ratios & Proportions Timed Drill, 60 problems
- Missing Number — Grade 6 Ratios & Proportions Missing Number, 24 problems
- Mixed Review — Grade 6 Ratios & Proportions Mixed Review, 30 problems
- Word Problems — 6.RP.3 — Ratios & Rates in the Real World, 22 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.
- Grade 7 Ratios & Proportions Drill — grade 7, 30 problems
Drill sheets in other grade 6 topics
Six PDFs, no sign-up: three versions of this grade 6 ratios and proportions drill and three answer keys, each 30 problems long.