AQA · Mathematics · 8300
GCSE Maths: Ratio: equations/ratios
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Ratio: equations/ratios (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 x:y = 5:1, what is the equation connecting x and y?
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x = 5y
If c:d = 1:2, what is the equation connecting c and d?
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d = 2c
If y = 3x, what is the ratio x:y?
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1:3
If x is eight times y, what is the ratio y:x?
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1:8
If the ratio of tables to chairs is 1:8, what equation connects T (tables) and C (chairs)?
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C = 8T
If 8x = 5y, what is the ratio x:y?
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5:8
If the ratio c:d is 3:4, what fraction of d is c?
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3/4 of d
If c is 50% more than d, what is the ratio c:d?
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3:2 (since c = 1.5d, the ratio is 1.5:1 or 3:2)
If x is 20% less than y, what is the ratio x:y?
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4:5 (since x = 0.8y, the ratio is 0.8:1 or 4:5)
If 5w = y/4, what is the ratio w:y?
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1:20 (rearranging gives 20w = y, so w:y = 1:20)
If 8x + 2y = 5y - 2x, what is the ratio x:y?
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3:10 (rearranging gives 10x = 3y, so x:y = 3:10)
If c:d = 7:4, what is the value of 2c/3d?
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7/6 (since c = 7k and d = 4k, then 2c/3d = 14k/12k = 7/6)
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