Pickles AcademyStart for freeRatio and proportion – practice for Years 7–8
Sample questions on Ratio and proportion with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.
- Subject
- Maths
- Year
- Years 7–8
- Curriculum area
- Relationships, functions and data
Question types: Ratio, direct and inverse proportion
Rule: Ratio and proportion
To share in the ratio 2 : 5: add the parts (7), divide the whole by the number of parts and multiply.
Direct proportion: 2 times more → 2 times more. Inverse: 2 times more horses → the hay lasts half as long.
Example: Hay for 5 horses for 18 days: 1 horse for 5 × 18 = 90 days, 6 horses for 90 ÷ 6 = 15 days
Watch out: More workers or horses means fewer days: the proportion is inverse.
Sample questions
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Question 1 Easy
A supply of hay lasts 5 horses for 3 days. How many days would the same supply last 3 horses?
Show the solution
Answer: 5 daysHow it works: Inverse proportion: it would last one horse 5 × 3 = 15 days, and 3 horses 15 ÷ 3 = 5 days
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Question 2 Normal
A supply of hay lasts 4 horses for 10 days. How many days would the same supply last 5 horses?
Show the solution
Answer: 8 daysHow it works: Inverse proportion: it would last one horse 4 × 10 = 40 days, and 5 horses 40 ÷ 5 = 8 days
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Question 3 Hard
Share £50 in the ratio 1 : 4. How many pounds is the larger share?
Show the solution
Answer: £40How it works: 1 + 4 = 5 parts, one part is 50 ÷ 5 = £10; the larger share is 4 × 10 = £40
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