AQA · Mathematics · 8300
GCSE Maths: Proportion: unitary method
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Proportion: unitary method (Corbettmaths Video 255), 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 in the unitary method?
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Find the value or quantity for one unit.
If 6 pencils cost 90p, how much does one pencil cost?
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15p (90p ÷ 6 = 15p)
If Jack worked 6 hours and was paid £48, what is his hourly rate?
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£8 per hour (£48 ÷ 6 = £8)
If a car travels 120 miles in 3 hours at steady speed, what is its speed per hour?
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40 miles per hour (120 miles ÷ 3 hours = 40 mph)
If 7 candles cost £45.29, how would you calculate the cost of 25 candles using the unitary method?
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First find the cost of 1 candle (£45.29 ÷ 7), then multiply by 25.
If £50 is worth €56, what is the exchange rate for £1?
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€1.12 (€56 ÷ 50 = €1.12)
If 24 marbles have a mass of 60g, what would be the mass of 60 marbles?
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150g. First find mass per marble (60g ÷ 24 = 2.5g), then multiply by 60 (2.5g × 60 = 150g).
On a map where 4cm represents 60 miles, what distance does 1cm represent?
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15 miles (60 miles ÷ 4 = 15 miles per cm)
If 20 identical books take up 70cm of shelf space, how much space does one book take?
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3.5cm (70cm ÷ 20 = 3.5cm)
If a car uses 8.4 litres of petrol for 112 miles, how many miles per litre does it achieve?
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Approximately 13.33 miles per litre (112 miles ÷ 8.4 litres)
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