AQA · Mathematics · 8300
GCSE Maths: Ratio: given one value
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Ratio: given one value (Corbettmaths Video 271), 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 white socks to black socks are in the ratio 1:3 and there are 12 white socks, how many black socks are there?
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36 black socks. Since the ratio is 1:3, multiply 12 by 3.
If the ratio of apples to oranges is 2:5 and there are 15 oranges, how many apples are there?
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6 apples. Divide 15 by 5 to get 3, then multiply by 2.
If the ratio of lemon sweets to strawberry sweets is 5:3 and there are 120 lemon sweets, how many strawberry sweets are there?
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72 strawberry sweets. Divide 120 by 5 to get 24, then multiply by 3.
If Abby, Neil and Dylan share money in the ratio 2:4:5 and Neil receives £60, how much does Dylan receive?
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£75. Divide 60 by 4 to get £15 per part, then multiply by 5.
If the ratio of girls to boys is 9:10 and there are 900 boys, what is the total number of students?
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1710 students. There are 810 girls (900÷10×9) plus 900 boys.
If flour, sugar and butter are mixed in the ratio 6:2:3 and 180g of butter is used, how much flour is needed?
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360g of flour. Divide 180 by 3 to get 60g per part, then multiply by 6.
If four angles are in the ratio 2:3:4:11 and the largest angle is 198°, what is the sum of all four angles?
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360°. Since 11 parts = 198°, one part = 18°, so total = 20 parts × 18° = 360°.
If the ratio of first class to second class stamps is 3:4 and there are 18 first class stamps, how many second class stamps are there?
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24 second class stamps. Divide 18 by 3 to get 6, then multiply by 4.
How do you find the value of one part when given a ratio and the quantity for one component?
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Divide the given quantity by its ratio number. This gives the value per part, which can then be multiplied by other ratio numbers.
If Alex and Thomas share 30 sweets in the ratio 3:2, how many sweets does Thomas have?
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12 sweets. Total parts = 5, so each part = 6 sweets. Thomas gets 2 parts = 12.
If the ratio of sharpened to blunt pencils is 4:1 and Sophie has 60 pencils total, how many are sharpened?
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48 sharpened pencils. Total parts = 5, so each part = 12. Sharpened = 4 parts = 48.
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