Powers and roots: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on N6 Powers and roots, 2017–2025, with its mark scheme and examiner’s report.
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All 15 questions on Powers and roots, as a list
- June 2025, Paper 1H, Q13 (2 marks): c and d are consecutive cube numbers, where c < 4.53 < d Work out the value of d – c Answer
- November 2024, Paper 1H, Q1 (2 marks): Work out the value of 1.52 Answer
- June 2023, Paper 1H, Q3 (1 mark): Work out the value of 2 3 2 Give your answer as a mixed number. Answer
- November 2022, Paper 2H, Q7 (3 marks): (a) k is a whole number between 40 and 50 The cube root of k is 3, to the nearest whole number. Work out the largest possible value of k. Answer 7 (b) Fay tries
- November 2022, Paper 3H, Q1 (1 mark): 2x = 32 Circle the value of x. 4 5 6 7
- November 2020, Paper 1H, Q3 (1 mark): Which one of these is a square number and a cube number? Circle your answer. 100 1000 10 000 1 000 000
- November 2020, Paper 1H, Q21 (2 marks): Write these numbers in order of size. 15.6 3 23 2.14 3 47 Start with the smallest. Smallest Largest
- November 2020, Paper 2H, Q4 (1 mark): Circle the expression that has the largest value when a < –1 2 1 a a a 2 a 3
- November 2019, Paper 3H, Q11 (3 marks): Work out cube root of 512 : reciprocal of 0.4 Give your answer in the form n : 1 Answer :
- June 2018, Paper 1H, Q1 (1 mark): Work out 3 1000 64 × Circle your answer. 40 80 400 4000
- June 2018, Paper 2H, Q18 (1 mark): The solution of 3x = 300 lies between two consecutive integers. Work out the two integers. Answer and
- November 2017, Paper 3H, Q6 (2 marks): Show that 268 can be written as the sum of a power of 3 and a square number. Answer
- June 2017, Paper 3H, Q2 (1 mark): Which of these values of n makes 2.7 × 10n a cube number? Circle your answer. 0 1 2 3
- Specimen, Paper 3H, Q1 (1 mark): Work out the square root of 100 million. Circle your answer. 1000 10 000 100 000 1 000 000 5 2
- Specimen, Paper 3H, Q12 (3 marks): Tick whether each statement is true or false. Give a reason for your answer. 12 (a) When x2 = 16 the only value that x can be is 4 True False Reason 12 (b) When
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