Grade 8 Ratios & Proportions Word Problems
Grade 8 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.Yara drives 450 miles in 5 hours. At that rate, how far does Yara drive in 7 hours?
- 2.A factory produces 560 toy cars in 8 hours. How many toy cars does it produce per hour?
- 3.A recipe uses 1/2 cup of flour for 1/2 of a batch. What is the unit rate in cups per batch?
- 4.A recipe uses 7 cups of flour for every 3 cups of sugar. Quinn uses 35 cups of flour. How much sugar is needed?
- 5.A faucet leaks at a rate of 5 gallons every 6 hours. How many gallons will leak in 24 hours?
- 6.A machine finishes 2/5 of a part in 1/3 hour. What is the unit rate in parts per hour?
- 7.A recipe uses 6 cups of flour for every 3 cups of sugar. Omar uses 18 cups of flour. How much sugar is needed?
- 8.A class has 18 girls and 12 boys. Write the ratio of girls to boys in simplest form.
- 9.3/5 of a can of paint covers 2/3 of a wall. What is the unit rate in walls per can?
- 10.Maya drives 210 miles in 7 hours. At that rate, how far does Maya drive in 9 hours?
What this worksheet covers
Ten story problems fill this word problems page; problem 4 asks "A recipe uses 7 cups of flour for every 3 cups of sugar.…", and the sheet stays at that level throughout. What makes this set particular: every problem is set in a short situation, so the first decision is which operation it calls for and several problems use mixed numbers, which have to be handled without dropping the whole-number part. Further down, problem 7 asks "A recipe uses 6 cups of flour for every 3 cups of sugar.…".
Skills practised
The grade 8 ratios and proportions sequence covers proportional relationships and slope, solving proportions, similar figures and scale factors; this page sits inside it. To finish it, a student has to read a situation and choose an operation before computing and work in fractional units and give the answer in lowest terms.
About the word problems format
Story problems are set one to a line with room to work underneath, problem 4, "A recipe uses 7 cups of flour for every 3 cups of sugar.…" among them, and the key gives each of the 10 answers with its unit. 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
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 6 is "A machine finishes 2/5 of a part in 1/3 hour. What is the…", Set B's is "A pipe leaks 1 1/2 liters in 1/3 hour. What is the unit…".
How to use this worksheet
Have the student estimate before computing, then compare. At grade 8 an ratios and proportions answer that is wildly off should announce itself, and building that reflex matters as much as the ten answers. Mark the ten problems the same day using the key — an error caught immediately is a correction, and one caught next week is a habit.
One mistake to watch for
A proportion is cross-multiplied with the wrong pairs. Problem 7 on this grade 8 word problems page, "A recipe uses 6 cups of flour for every 3 cups of sugar.…", 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.
- Drill — Grade 8 Ratios & Proportions Drill, 30 problems
- 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
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 Word Problems — grade 7, 10 problems
Word Problems sheets in other grade 8 topics
Six PDFs, no sign-up: three versions of this grade 8 ratios and proportions word problems and three answer keys, each ten problems long.