Fractions, decimals and percentages: past paper questions

Where the questions come from

• Question 2Oct/Nov 2024, paper 21Structured1 mark

  Find the reciprocal of $1\frac{1}{4}$.

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• Question 8Oct/Nov 2023, paper 21Structured1 mark

  Calculate. $$7\frac{3}{11}\times 3\frac{3}{10}$$ Calculate.

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• Question 3May/June 2026, paper 22Structured2 marks

  Find the reciprocal of $3\frac{1}{3}$.

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• Question 9Oct/Nov 2025, paper 22Structured3 marks

  Rajid has a full bottle of juice. He drinks $\frac{1}{3}$ of the full bottle on Monday. He drinks $\frac{3}{7}$ of the full bottle on Tuesday.

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• Question 11Oct/Nov 2024, paper 21Structured3 marks

  Without using a calculator, work out $5\frac{1}{3}-3\frac{4}{7}$.

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• Question 4May/June 2026, paper 22Structured2 marks

  Work out $\frac{1}{6}÷\frac{2}{7}$.

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• Question 7Oct/Nov 2024, paper 22Structured2 marks

  Without using a calculator, work out $\frac{2}{7}÷\frac{6}{11}$.

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• Question 8Oct/Nov 2023, paper 22Structured3 marks

  Without using a calculator, work out $3\frac{1}{8}-1\frac{3}{4}$.

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• Question 8Oct/Nov 2025, paper 43Structured2 marks

  $m$ is a positive integer. Write these values in order of size, starting with the smallest.

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• Question 10Oct/Nov 2024, paper 23Structured3 marks

  Without using a calculator, work out $2\frac{1}{4}-1\frac{11}{12}$.

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• Question 7Oct/Nov 2023, paper 23Structured3 marks

  Without using a calculator, work out $1\frac{5}{6}÷\frac{11}{15}$.

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• Question 1May/June 2026, paper 43Structured1 mark

  Complete the statement.

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• Question 9Oct/Nov 2025, paper 43Structured1 mark

  Draw a ring around the calculation that is equivalent to $n÷2\frac{3}{5}$.

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• Question 10May/June 2023, paper 21Structured3 marks

  Without using a calculator, work out $2\frac{1}{7}÷\frac{5}{9}$.

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• Question 4May/June 2025, paper 21Structured3 marks

  Work out. $$\frac{5}{6}-\frac{2}{3}\times \frac{3}{8}$$ Work out.

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• Question 7May/June 2023, paper 22Structured3 marks

  Without using a calculator, work out $\frac{4}{7}÷1\frac{5}{21}$.

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• Question 13May/June 2024, paper 22Structured3 marks

  Without using a calculator, work out $2\frac{1}{4}÷1\frac{7}{8}$.

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• Question 8May/June 2024, paper 23Structured2 marks

  Without using a calculator, work out $\frac{3}{7}-\frac{1}{14}$.

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• Question 6May/June 2023, paper 23Structured2 marks

  At the end of the day, a shopkeeper has 12 tins of cat food left. This is $\frac{3}{13}$ of the number he had at the beginning of the day. Calculate the number of tins he had at the beginning of the day.

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• Question 7May/June 2025, paper 23Structured5 marks

  Work out. $\frac{5}{6}-\frac{7}{12}$ Give your answer as a fraction in its simplest form.

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• Question 10May/June 2023, paper 23Structured3 marks

  Without using a calculator, work out $5\frac{11}{12}+2\frac{1}{4}$.

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