The four operations: past paper questions

Where the questions come from

• Question 8May/June 2026, paper 11Structured1 mark

  In a town, the lowest temperature one night is $-12.6{}^{\circ }\text{C}$. The highest temperature the next day is $25.7{}^{\circ }\text{C}$. Calculate the difference between these two temperatures.

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

  The temperature at midnight is $-2^{\circ }\text{C}$. The temperature at noon is $5^{\circ }\text{C}$. Find the difference between these temperatures.

  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 12Oct/Nov 2023, paper 11Structured3 marks

  The table shows some information about Amir’s shopping. Complete the table.

  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 2Oct/Nov 2025, paper 12Structured2 marks

  Tom buys 2 books costing $8.20 each. Work out how much change he receives from $20. Tom buys 2 books costing $8.20 each. Work out how much change he receives from $20.

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

  Put one pair of brackets in each calculation to make it correct. $15+12-3\times 4=51$

  Try this question
• Question 6Oct/Nov 2023, paper 12Structured1 mark

  Write down the number that is 9 greater than $-23$.

  Try this question
• Question 2May/June 2026, paper 12Structured2 marks

  Add 63 and 28.

  Try this question
• Question 9Oct/Nov 2025, paper 12Structured2 marks

  The temperature at midday on Monday is $-3^{\circ }\mathrm{C}$. The temperature at 10 pm on Monday is $-{15}^{\circ }\mathrm{C}$. Calculate the difference between these two temperatures.

  Try this question
• Question 11Oct/Nov 2024, paper 12Structured2 marks

  The temperature in town $A$ is $-8{}^{\circ }\mathrm{C}$ and the temperature in town $B$ is $16{}^{\circ }\mathrm{C}$. Find the difference in these two temperatures.

  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 6May/June 2026, paper 12Structured2 marks

  Put one pair of brackets into each calculation to make it correct. $7\times 3-2\times 4=28$

  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 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 13Oct/Nov 2023, paper 13Structured3 marks

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

  Try this question
• Question 1May/June 2026, paper 13Structured1 mark

  Write down the number that is 1 more than 4999 499.

  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 3Oct/Nov 2024, paper 13Structured1 mark

  A piece of string has length 65.1 cm. The string is cut into 7 equal pieces. Find the length of each piece.

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

  Write the number six and a half million in figures.

  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 2Oct/Nov 2025, paper 31Structured3 marks

  Complete this shopping bill.

  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 3Oct/Nov 2023, paper 31Structured11 marksHas a diagram

  The bar chart shows the country in which each of 80 students live. How many of these students live in Brazil?

  Try this question
• Question 13May/June 2026, paper 31Structured2 marks

  Put one pair of brackets into each calculation to make it correct. $10+12-8\times 5=30$

  Try this question
• Question 5Oct/Nov 2025, paper 31Structured5 marks

  Find the value of $\sqrt{1.96}$

  Try this question
• Question 6May/June 2024, paper 11Structured2 marks

  Work out. $$28-16÷2$$

  Try this question
• Question 3May/June 2023, paper 11Structured3 marks

  Magazines cost $3.40 each. Rosina has $15 to buy as many magazines as possible. Complete the statement.

  Try this question
• Question 3May/June 2026, paper 32Structured3 marks

  A vase costs $5.45 . Tim has $35. Work out the maximum number of vases Tim can buy and the change he receives.

  Try this question
• Question 14Oct/Nov 2025, paper 33Structured2 marks

  Carl packs pens into boxes. Each box holds 68 pens. Carl has 980 pens and 14 boxes.

  Try this question