AQA · Mathematics · 8300
GCSE Maths: Proportion: recipes
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Proportion: recipes (Corbettmaths Video 256), 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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When scaling a recipe for 8 scones up to 16 scones, what operation do you perform on each ingredient quantity?
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Multiply each ingredient quantity by 2 (since 16 ÷ 8 = 2).
When scaling a recipe for 8 scones down to 4 scones, what operation do you perform on each ingredient quantity?
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Divide each ingredient quantity by 2 (since 4 ÷ 8 = 0.5, or multiply by 0.5).
What is the first step when scaling a recipe from one number of servings to another?
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Calculate the scaling factor by dividing the desired number of servings by the original number of servings.
A recipe uses 240g chocolate and 160g Rice Krispies. What is the ratio of chocolate to Rice Krispies in simplest form?
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3:2 (240:160 simplifies by dividing both by 80).
When finding the maximum number of items you can make with limited ingredients, what method should you use?
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Calculate how many batches each ingredient allows, then take the smallest (limiting) value.
A recipe for 12 cakes uses 120g chocolate. How much chocolate is needed for 30 cakes?
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300g. Scale by 30÷12 = 2.5, so 120g × 2.5 = 300g.
If a recipe serves 6 people using 1.4 litres of stock, how much stock is needed to serve 9 people?
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2.1 litres. Scale by 9÷6 = 1.5, so 1.4 × 1.5 = 2.1 litres.
If you know a recipe uses 300ml milk for 6 buns and someone uses 500ml milk, how do you find how many buns they're making?
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Find the scaling factor (500÷300 = 5/3) and multiply by the original number of buns (6 × 5/3 = 10 buns).
If a recipe uses 45g caster sugar for 12 doughnuts and you have 290g caster sugar, how many batches of 12 can you make?
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6 batches (290 ÷ 45 = 6.44, so 6 complete batches)
If you make 6 batches of 12 doughnuts and sell each for £1.80, how much money do you raise?
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£129.60 (6 × 12 = 72 doughnuts; 72 × £1.80 = £129.60)
If concrete uses cement : sand : gravel in ratio 1 : 2 : 3, and you have 43kg cement, 83kg sand, and 151kg gravel, which ingredient limits the amount you can make?
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Sand (43kg cement allows 258kg total, 83kg sand allows 249kg total, 151kg gravel allows 301.5kg total; sand is limiting)
In a 1 : 2 : 3 ratio mixture, what fraction of the total is the first component?
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1/6 (total parts = 1 + 2 + 3 = 6)
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