AQA · Mathematics · 8300
GCSE Maths: Money: Cost per metre
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Money: Cost per metre (Corbettmaths Video 400), 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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How do you find the cost per metre from a total cost and a length?
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Divide the total cost by the length in metres. e.g. £78.72 ÷ 12 m = £6.56 per metre.
What is the cost of 6 metres of string at 40p per metre?
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£2.40 (6 × 40p = 240p).
What is the total cost of 14 metres of ribbon at £1.79 per metre?
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£25.06 (14 × £1.79).
How do you find the length bought when you know the total paid and the price per metre?
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Divide the total paid by the price per metre. e.g. £49.50 ÷ £3 per metre = 16.5 m.
Total cost of 5 m of fabric at £4.75/m, 3 pen packets at £6 and 4 glues at £4.50?
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£59.75 (£23.75 + £18 + £18).
24 m of fencing at £18.25/m plus 25 posts costs £863. What is the price of one post?
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£17. Fencing = 24 × £18.25 = £438; £863 − £438 = £425; £425 ÷ 25 = £17.
Total cost of 20 m of guttering at £5.50/m plus 2 hours of labour at £18/hour?
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£146 (20 × £5.50 = £110, plus 2 × £18 = £36).
How is profit calculated when reselling items after buying materials?
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Profit = money received from sales − all costs (purchase price plus materials). e.g. 4 chairs sold at £49 each = £196; costs £14 + 2.4 m × £13 = £45.20; profit £150.80.
Sponsored at the same rate per metre, Bill gets £16 for 400 m. How far did Janet swim for £52?
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1300 m. Rate = £16 ÷ 400 = 4p per metre; £52 ÷ £0.04 = 1300 m.
Turf is priced per square metre and fencing per metre. Which measurement does each need?
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Turf needs the area of the garden; fencing needs the perimeter.
What length of fence is needed around a circular pond of radius 3 m?
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The circumference: 2 × π × 3 ≈ 18.85 m. At £5.95 per metre the fence costs ≈ £112.15.
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