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 practiced
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
Equivalent ratios are made by adding the same number to both terms. Watch problem 13 of this drill — "5:6 = 35:___" — for this one.
Scaling and adding are being confused, as with fractions.
Build a ratio table by multiplying across a row and check that the columns keep the same relationship.
Other grade 6 ratios and proportions formats
The same skill in the other formats available at this grade.
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.