Fractions, decimals and percentages: past paper questions

Where the questions come from

• Question 5May/June 2026, paper 11Structured3 marks

  Write $\frac{1}{2}$ as a decimal.

  Try this question
• Question 9Oct/Nov 2025, paper 11Structured3 marks

  Shade $\frac{3}{4}$ of this grid.

  Try this question
• Question 5Oct/Nov 2024, paper 11Structured2 marks

  Use one of these symbols $<$, $>$ or $=$ to make each statement true. $\frac{2}{7}$ ....................... $0.2861$ $\frac{99}{900}$ .......................

  Try this question
• Question 1Oct/Nov 2023, paper 12Structured1 mark

  Write $\frac{8}{10}$ as a decimal.

  Try this question
• Question 17May/June 2026, paper 11Structured3 marks

  Work out. $$2\frac{1}{6}-1\frac{3}{5}$$ Write your answer as a fraction in its simplest form.

  Try this question
• Question 18Oct/Nov 2025, paper 11Structured2 marks

  Work out $\frac{11}{18}-\frac{2}{9}$.

  Try this question
• Question 7Oct/Nov 2024, paper 11Structured1 mark

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

  Try this question
• Question 4Oct/Nov 2023, paper 12Structured1 mark

  Work out $\frac{2}{5}$ of 180.

  Try this question
• Question 3May/June 2026, paper 12Structured2 marks

  Write 35% as a decimal.

  Try this question
• Question 20Oct/Nov 2025, paper 11Structured2 marks

  Some students take a test. 75 of the students pass the test. This is $\frac{3}{5}$ of the students who take the test.

  Try this question
• Question 23Oct/Nov 2024, paper 11Structured3 marks

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

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

  Write these numbers in order, starting with the smallest.

  Try this question
• Question 7May/June 2026, paper 12Structured3 marksHas a diagram

  Write down the fraction of the rectangle that is shaded.

  Try this question
• Question 28Oct/Nov 2025, paper 11Structured3 marks

  Work out $8\frac{2}{3}÷1\frac{5}{8}$.

  Try this question
• Question 21Oct/Nov 2024, paper 12Structured3 marks

  Without using a calculator, work out $2\frac{3}{4}\times 1\frac{1}{2}$.

  Try this question
• Question 19Oct/Nov 2023, paper 12Structured3 marks

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

  Try this question
• Question 27May/June 2026, paper 12Structured3 marks

  Work out $3\frac{1}{3}-1\frac{3}{4}$.

  Try this question
• Question 6Oct/Nov 2025, paper 12Structured3 marks

  Write $\frac{3}{4}$ as a decimal.

  Try this question
• Question 2Oct/Nov 2024, paper 13Structured1 mark

  Write 0.75 as a fraction.

  Try this question
• Question 13Oct/Nov 2023, paper 13Structured3 marks

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

  Try this question
• Question 6May/June 2026, paper 13Structured3 marks

  A book has 420 pages. Meg reads 14 pages each day. Meg has read $\frac{1}{3}$ of the number of pages so far.

  Try this question
• Question 18Oct/Nov 2025, paper 12Structured3 marks

  Work out. $$2\frac{5}{6}÷4\frac{1}{4}$$ Write your answer as a fraction in its simplest form.

  Try this question
• Question 16Oct/Nov 2024, paper 13Structured2 marks

  Rio buys some pens. He sells 63 pens, which is $\frac{7}{9}$ of the pens he buys. Work out how many pens he buys.

  Try this question
• Question 1Oct/Nov 2023, paper 31Structured15 marks

  Write the number six and a half million in figures.

  Try this question
• Question 8May/June 2026, paper 13Structured5 marksHas a diagram

  Ben asks some children to choose their favourite type of snack. The pie chart shows the results. Measure the sector angle for crisps.

  Try this question
• Question 25Oct/Nov 2025, paper 13Structured3 marks

  Work out. $$\frac{3}{4}\times 1\frac{2}{3}$$ Give your answer as a mixed number in its simplest form.

  Try this question
• Question 18Oct/Nov 2024, paper 13Structured3 marks

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

  Try this question
• Question 11May/June 2026, paper 13Structured5 marks

  $\frac{2}{5}$ of the area of a shape is blue, $\frac{3}{7}$ is green and the rest is red. What fraction of the shape is red?

  Try this question
• Question 4Oct/Nov 2025, paper 31Structured2 marks

  Draw a ring around the fractions which are not equivalent to $\frac{2}{5}$.

  Try this question
• Question 1May/June 2024, paper 11Structured3 marks

  Write 0.8 as a fraction.

  Try this question