Ratios and Proportions Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Ratios compare two quantities and proportions say two ratios are equal. They are the mathematics of recipes, maps, prices and scale models. This quiz practises simplifying ratios, finding a missing value in a proportion and using unit rates in short word problems.
What this quiz covers
- Simplifying a ratio to lowest terms
- Finding the missing value in a proportion
- Working out a unit rate
- Scaling a quantity up or down
- Checking equivalent ratios
- Reading a ratio in a word problem
How to prepare
To simplify a ratio, divide both parts by their greatest common factor. To solve a proportion, find what number both parts were multiplied by, or cross-multiply. With unit rates, find the price for one item first, then scale. The ratios guide has more examples.
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- Simplify the ratio 3 : 6.
Show answer
1 : 2. Divide both parts by 3: 1 : 2.
- 6 : 7 = 18 : x. What is x?
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21. Multiply both parts of 6 : 7 by 3: x = 7 × 3 = 21.
- 7 notebooks cost $28. How much do 9 notebooks cost at the same price?
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$36. One notebook costs $4, so 9 cost $36.
- Simplify the ratio 25 : 15.
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5 : 3. Divide both parts by 5: 5 : 3.
- 2 : 4 = 10 : x. What is x?
Show answer
20. Multiply both parts of 2 : 4 by 5: x = 4 × 5 = 20.
Frequently asked questions
What is the difference between a ratio and a proportion?
A ratio compares two quantities. A proportion is an equation stating that two ratios are equal.
How do I solve a proportion?
Cross-multiply and divide, or scale both parts by the same factor.
Can I check with a tool?
Yes, use the ratio calculator.
Keep practising
Ratios and Proportions Explained6 min read
Ratio CalculatorSolve proportions like A : B = C : x and simplify ratios.
Multiplication Quiz15 questionsFractions Quiz15 questionsDecimals Quiz15 questionsReviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.