Ratio and proportion: past paper questions

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• Question 4May/June 2026, paper 12Structured3 marks

  Ana has 60 cards. Each card is red or green. The ratio $\text{red cards}:\text{green cards}=2:1$.

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• Question 9Oct/Nov 2025, paper 12Structured5 marks

  Sara has a bag containing 60 red counters, 72 blue counters and 36 green counters. Find the ratio of red counters : blue counters : green counters in the bag.

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• Question 5Oct/Nov 2023, paper 12Structured2 marks

  Anna and Ria share some money in the ratio 5 : 9. Ria receives $8 more than Anna. Work out the total amount of money that is shared. Anna and Ria share some money in the ratio 5 : 9. Ria receives $8 more than Anna. Work out the total amount of money that is shared.

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• Question 9Oct/Nov 2025, paper 21Structured3 marks

  The exchange rate between euros (€) and pounds (£) is €1 = £0.88 . The exchange rate between dollars ($) and pounds (£) is $1 = £x. Ling changes €500 into dollars.

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• Question 1Oct/Nov 2024, paper 22Structured11 marks

  These are the contents of a bag of mixed fruit. $$\overline{)\begin{array}{ll}\text{Pineapple}& 96\text{ g}\\ \text{Mango}& 84\text{ g}\\ \text{Papaya}& 60\text{ g}\end{array}}$$ Calculate the mass of mango as a percentage of the total mass of the mixed fruit.

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• Question 1Oct/Nov 2023, paper 21Structured12 marks

  The population of a town is 36 400. 23% of the population are aged 18 and under. Work out the number of people in the town aged over 18.

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• Question 3May/June 2025, paper 22Structured4 marks

  Write the ratio $175\text{ ml}:2.5\text{ litres}$ in its simplest form.

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• Question 10May/June 2024, paper 11Structured3 marksHas a diagram

  The diagram shows the fuel gauge of a car. This car has 40 litres of fuel in the tank. Calculate the amount of fuel that the tank contains when it is full.

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• Question 5May/June 2024, paper 21Structured7 marks

  Two companies move boxes. Company $A$ charges $0.50 for each box plus a fixed fee of $125.

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• Question 13May/June 2023, paper 11Structured3 marks

  The bearing of Mingfield from Lenton is ${156}^{\circ }$. Calculate the bearing of Lenton from Mingfield.

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• Question 1May/June 2024, paper 22Structured8 marks

  Oranges cost $1.45 per kilogram. Asher buys 1.2 kg of oranges. Find the change he receives from $10.

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• Question 6May/June 2023, paper 22Structured8 marks

  Sophia takes part in the Trio Challenge. She walks, then cycles and then swims. Trio Challenge Walk 6.3 km Cycle 3000 m Swim 1800 m Write these distances $\text{walk}:\text{cycle}:\text{swim}$ as a ratio in its simplest form.

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