Grade 8 Ratios & Proportions Drill
Grade 8 ratios and proportions drill sheet: 30 problems on proportional relationships and slope, solving proportions.
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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.y = kx and y = 80 when x = 8. Find k.
- 2.Solve: 12/2 = 24/x
- 3.y = kx and y = 21 when x = 7. Find k.
- 4.Solve: 11/x = 55/10
- 5.y = kx and y = 20 when x = 5. Find k.
- 6.Solve: x/7 = 32/28
- 7.y = kx and y = 16 when x = 2. Find k.
- 8.Solve: x/8 = 2/16
- 9.y = kx and y = 30 when x = 3. Find k.
- 10.Solve: x/3 = 8/6
- 11.If y is proportional to x and y = 12 when x = 6, what is y when x = 9?
- 12.Solve: x/5 = 54/45
- 13.If y is proportional to x and y = 36 when x = 4, what is y when x = 7?
- 14.Solve: 7/7 = x/35
- 15.y = kx and y = 64 when x = 8. Find k.
- 16.Solve: 7/5 = x/35
- 17.If y is proportional to x and y = 8 when x = 4, what is y when x = 7?
- 18.Solve: 1/5 = 8/x
- 19.y = kx and y = 72 when x = 6. Find k.
- 20.Solve: 7/12 = x/60
- 21.If y is proportional to x and y = 99 when x = 9, what is y when x = 12?
- 22.Solve: 6/7 = x/42
- 23.y = kx and y = 20 when x = 4. Find k.
- 24.Solve: 2/x = 10/50
- 25.y = kx and y = 50 when x = 5. Find k.
- 26.Solve: x/2 = 72/18
- 27.If y is proportional to x and y = 6 when x = 2, what is y when x = 5?
- 28.Solve: 10/x = 60/12
- 29.y = kx and y = 27 when x = 3. Find k.
- 30.Solve: 4/x = 28/63
What this worksheet covers
Set A of this grade 8 drill sheet holds 30 ratios and proportions problems on one printable page, with the answer key on the page behind it. Each problem arrives as a few sentences of context rather than a bare expression and some values are written as fractions rather than whole numbers. Two problems from the middle of the page — "If y is proportional to x and y = 12 when x = 6, what is y…" and "If y is proportional to x and y = 99 when x = 9, what is y…" — show the range. It is written against Common Core 8.EE.5 — Expressions & Equations, grade 8.
Skills practised
Grade 8 ratios and proportions means proportional relationships and slope, solving proportions, similar figures and scale factors. The skills on the page: proportional relationships and slope and solving proportions. Concretely, the sheet tests whether a student can read a situation and choose an operation before computing and work in fractional units and give the answer in lowest terms. 23 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, "If y is proportional to x and y = 12 when x = 6, what is y…" 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 "Solve: 7/5 = x/35", Set B's is "Solve: 11/10 = 55/x".
How to use this worksheet
Expect twenty minutes or so of real attention for 30 problems. At grade 8, ratios and proportions rewards care over speed — a rushed drill gets the arithmetic right and the signs or units wrong. Print Set B of this ratios and proportions drill before writing on Set A; the same skill worked twice a week apart tells you far more than once.
One mistake to watch for
A proportion is cross-multiplied with the wrong pairs. Problem 21 on this grade 8 drill page, "If y is proportional to x and y = 99 when x = 9, what is y…", is where to look for it.
The setup was written with mismatched units across the equals sign.
Label every term with its unit before solving; the same unit must be on top on both sides.
Other grade 8 ratios and proportions formats
The same skill in the other formats available at this grade.
- Timed Drill — Grade 8 Ratios & Proportions Timed Drill, 60 problems
- Missing Number — Grade 8 Ratios & Proportions Missing Number, 24 problems
- Mixed Review — Grade 8 Ratios & Proportions Mixed Review, 30 problems
- Word Problems — Grade 8 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.
- Grade 7 Ratios & Proportions Drill — grade 7, 30 problems
Drill sheets in other grade 8 topics
Free to download, print and photocopy for a whole class: three drill sheets of grade 8 ratios and proportions, 30 problems each, keys included.