Fractions, decimals and percentages: past paper questions

Where the questions come from

• Question 9May/June 2026, paper 12Structured4 marks

  Work out. $$1\frac{2}{3}\times \frac{9}{10}+2\frac{1}{5}$$ Give your answer as a mixed number in its simplest form.

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• Question 1Oct/Nov 2025, paper 11Structured1 mark

  Write down the reciprocal of $\frac{7}{2}$.

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• Question 13Oct/Nov 2024, paper 11Structured2 marks

  Work out $2\frac{1}{5}÷\frac{3}{4}$.

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• Question 1Oct/Nov 2023, paper 11Structured2 marks

  Work out $6+4÷2$.

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• Question 1May/June 2026, paper 22Structured1 mark

  Write these numbers in order of size, starting with the smallest.

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• Question 6Oct/Nov 2025, paper 11Structured2 marks

  Sam buys some chocolate. He eats $\frac{2}{7}$ of the chocolate. The mass of the remaining chocolate is $350\text{ g}$.

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• Question 13Oct/Nov 2025, paper 11Structured3 marks

  Work out $2\frac{2}{3}+3\frac{3}{4}$.

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• Question 7Oct/Nov 2024, paper 12Structured2 marks

  Work out $\frac{3}{4}+\frac{5}{6}$.

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• Question 13Oct/Nov 2023, paper 11Structured2 marks

  Work out $1\frac{3}{5}÷1\frac{2}{3}$.

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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 1Oct/Nov 2023, paper 12Structured3 marks

  Work out. 0.05 × 0.3

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• Question 11May/June 2024, paper 11Structured2 marks

  Tom’s pet eats $\frac{3}{5}$ of a tin of food each day. Tom needs food for his pet for 12 days. Calculate the number of tins of food Tom needs to buy.

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• Question 2Oct/Nov 2023, paper 12Structured1 mark

  This rectangle is split into squares of two different sizes. Find the fraction of the rectangle that is shaded grey.

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• Question 10Oct/Nov 2025, paper 12Structured3 marks

  Work out. $$1\frac{2}{5}÷\frac{3}{10}$$ Give your answer as a mixed number in its simplest form.

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• Question 1May/June 2024, paper 12Structured2 marks

  Here are five temperatures in ${}^{\circ }\mathrm{C}$. $$41-60-2$$ Write these temperatures in order, starting with the lowest.

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• Question 3Oct/Nov 2023, paper 12Structured3 marks

  Find the decimal which is exactly halfway between 3/5 and 68%.

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• Question 1May/June 2025, paper 12Structured4 marks

  Work out. 6 - 2 × (-4)

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• Question 7May/June 2024, paper 12Structured3 marks

  Work out $\frac{2}{7}÷\frac{1}{3}$.

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• Question 1May/June 2023, paper 11Structured2 marks

  Work out. 1234.4 ÷ 8

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• Question 2May/June 2023, paper 11Structured2 marksHas a diagram

  Write down the fraction of this $3\times 3$ square that is shaded.

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• Question 2May/June 2025, paper 22Structured3 marks

  Write eighteen thousand and twelve in figures.

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• Question 10May/June 2023, paper 11Structured4 marks

  Work out $1\frac{1}{3}\times \frac{8}{9}$.

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• Question 8May/June 2023, paper 12Structured2 marks

  Work out $1\frac{3}{4}+\frac{5}{6}$.

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