AQA · Mathematics · 8300
GCSE Maths: Ratio: expressing as 1:n
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Ratio: expressing as 1:n (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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What is the first step to simplify a ratio like 4:6?
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Find the highest common factor (HCF) of both numbers and divide each part by it.
Before simplifying a ratio with mixed units (e.g., 8 days to 2 weeks), what must you do first?
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Convert both quantities to the same unit.
To express the ratio 2:3 in the form 1:n, what operation do you perform?
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Divide both sides by 2, giving 1:1.5.
To express the ratio 7:2 in the form n:1, what operation do you perform?
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Divide both sides by 2, giving 3.5:1.
What does expressing a ratio in the form 1:n mean?
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The first part of the ratio is scaled to equal 1, showing how many units of the second quantity correspond to 1 unit of the first.
What does expressing a ratio in the form n:1 mean?
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The second part of the ratio is scaled to equal 1, showing how many units of the first quantity correspond to 1 unit of the second.
How do you simplify a ratio involving decimals, such as 2.5:4.5?
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Multiply both parts by a power of 10 to remove decimals, then simplify the resulting whole number ratio.
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