Grade 7 Ratios & Proportions Word Problems
Grade 7 ratios and proportions word problems sheet: 10 problems on .
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Read each problem carefully. Show your work, then write your answer on the line.
- 1.4 notebooks cost $36.00. What is the cost of 7 notebooks?
- 2.There are 320 students in 6th grade. If 25% of them participate in the school band, how many students participate in the school band?
- 3.A recipe uses 3/4 cup of flour for 2/3 of a batch. What is the unit rate in cups per batch?
- 4.A paint mix is 7 parts blue to 2 parts white. How many parts blue are needed for 6 parts white?
- 5.A runner completes 2 laps in 15 minutes. At this rate, how many laps will the runner complete in 30 minutes?
- 6.A machine finishes 1/2 of a part in 3/4 hour. What is the unit rate in parts per hour?
- 7.A recipe uses 8 cups of flour for every 5 cups of sugar. Sam uses 64 cups of flour. How much sugar is needed?
- 8.A factory produces 660 toy cars in 6 hours. How many toy cars does it produce per hour?
- 9.1/3 of a can of paint covers 2/3 of a wall. What is the unit rate in walls per can?
- 10.A paint mix is 3 parts blue to 6 parts white. How many parts blue are needed for 24 parts white?
What this worksheet covers
This is a 10-problem word problems for grade 7 ratios and proportions, printed in black and white with the key on page two. Within that, the problems are written as situations that have to be translated before they can be calculated and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Problems 4 and 7, for instance, are "A paint mix is 7 parts blue to 2 parts white. How many…" and "A recipe uses 8 cups of flour for every 5 cups of sugar.…".
Skills practised
The grade 7 ratios and proportions sequence covers solving proportions, unit rates, the constant of proportionality and scale drawings; this page sits inside it. Concretely, the sheet tests whether a student can read a situation and choose an operation before computing, work in fractional units and give the answer in lowest terms, and keep the decimal points aligned.
About the word problems format
The 10 story problems each get a full line and an answer rule; problem 4, "A paint mix is 7 parts blue to 2 parts white. How many…" is one, and the answer key writes the unit with every answer. Recipes, speeds and prices are where proportional reasoning is actually used, and where a wrong setup is obvious.
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 6 is "A machine finishes 1/2 of a part in 3/4 hour. What is the…", Set B's is "A machine finishes 3/4 of a part in 1/4 hour. What is the…".
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 ten answers. Print Set B of this ratios and proportions word problems 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 ratio is written in the wrong order: boys to girls given as girls to boys. Watch problem 7 of this word problems — "A recipe uses 8 cups of flour for every 5 cups of sugar.…" — 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 7 ratios and proportions formats
The same skill in the other formats available at this grade.
- Drill — Grade 7 Ratios & Proportions Drill, 30 problems
- Timed Drill — Grade 7 Ratios & Proportions Timed Drill, 60 problems
- Missing Number — Grade 7 Ratios & Proportions Missing Number, 24 problems
- Mixed Review — Grade 7 Ratios & Proportions Mixed Review, 30 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.
- 6.RP.3 — Ratios & Rates in the Real World — grade 6, 22 problems
- Grade 8 Ratios & Proportions Word Problems — grade 8, 10 problems
Word Problems sheets in other grade 7 topics
Print as many copies of this grade 7 ratios and proportions word problems as you need; Sets A, B and C and their keys are six separate PDFs, all free.