AQA · Mathematics · 8300
GCSE Maths: Fractions: finding the original
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Fractions: finding the original (Corbettmaths Video 138), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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If 1/3 of a number is 5, what is the number?
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15. Multiply 5 by 3 to find the whole.
If three-quarters of a number is 12, what is the number?
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16. Divide 12 by 3 to find one-quarter (4), then multiply by 4.
If 4/5 of y is 20, what is y?
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25. Divide 20 by 4 to find 1/5 (which is 5), then multiply by 5.
If 3/7 of a number is 24, what is the number?
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56. Divide 24 by 3 to find 1/7 (which is 8), then multiply by 7.
If 1/25 of the cars in a car park are yellow and there are 13 yellow cars, how many total cars are there?
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325. Multiply 13 by 25 to find the whole.
If 5/6 of the sweets in a bag are yellow and there are 20 yellow sweets, how many sweets are in the bag?
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24. Divide 20 by 5 to find 1/6 (which is 4), then multiply by 6.
Gavin gives 2/3 of his winnings (£240) to charity. How much does he save?
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£120. First find the total: 240 ÷ 2 × 3 = £360. He saves 1/3, which is £120.
If 3/7 of the cupcakes are lemon and there are 52 chocolate cupcakes, how many cupcakes are there in total?
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91. Chocolate cupcakes are 4/7 of the total. 52 ÷ 4 = 13 (which is 1/7), then 13 × 7 = 91.
In a sale, prices are reduced by 1/6. If a hat costs £35 after the reduction, what was the original price?
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£42. The sale price is 5/6 of the original. 35 ÷ 5 = 7 (which is 1/6), then 7 × 6 = £42.
A bottle is 3/8 full. Adding 400ml fills it completely. What is the bottle's capacity?
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640ml. The 400ml added is 5/8 of the capacity. 400 ÷ 5 = 80 (which is 1/8), then 80 × 8 = 640ml.
Rebecca used 1/10 of flour for pancakes and 1/4 for scones. 780g remains. How much flour was originally in the bag?
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1200g. She used 1/10 + 1/4 = 2/20 + 5/20 = 7/20, so 13/20 remains. 780 ÷ 13 = 60 (which is 1/20), then 60 × 20 = 1200g.
At 14:00 a stadium is 1/6 full. By 15:00, 6500 more fans enter and it's now 3/5 full. What is the stadium's capacity?
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15000. The increase from 1/6 to 3/5 is 13/30 of capacity. 6500 ÷ 13 = 500 (which is 1/30), then 500 × 30 = 15000.
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