plumiExact calculation and surds: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on N8 Exact calculation and surds, 2017–2025, with its mark scheme and examiner’s report.
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All 16 questions on Exact calculation and surds, as a list
- June 2025, Paper 1H, Q20 (3 marks): Express 44 + 99 + 275 in the form a n where a and n are integers. Answer
- November 2024, Paper 1H, Q20 (4 marks): (a) Show that 3 363 simplifies to an integer. 20 (b) Rationalise the denominator and simplify 5 20 Answer
- June 2024, Paper 1H, Q23 (4 marks): (a) The first three terms of a geometric progression are 5 2 5 4 5 5 8 Work out the next term. Answer 23 (b) The nth term of a sequence is (2 + 3 )n Show that t
- November 2023, Paper 1H, Q23 (3 marks): Work out 2 7 × 10 3 Give your answer in the form x y 15 where x and y are integers. Answer
- November 2022, Paper 1H, Q27 (4 marks): Work out 16 13 2 – 5 2 Give your answer in the form b a 5 where a and b are integers. Answer
- November 2021, Paper 1H, Q25 (3 marks): Show that 3 2 6 150 × − simplifies to an integer.
- November 2020, Paper 1H, Q26 (5 marks): (a) Show that 7 14 can be written in the form a b where a and b are integers. 26 (b) Work out 10 2 × 80 × 18 Give your answer as an integer. Answer
- November 2019, Paper 1H, Q7 (2 marks): Given that a × 60 = b work out the value of 4b a Answer 7
- November 2019, Paper 1H, Q24 (4 marks): Work out 18 – 50 28 Give your answer in the form b a where a and b are integers. Answer
- June 2019, Paper 2H, Q22 (3 marks): Show that (5 3 – 12 )2 simplifies to an integer.
- November 2018, Paper 1H, Q24 (3 marks): Show that 5 6 2 – 10 3 can be written in the form 10 d c where c and d are integers.
- June 2018, Paper 1H, Q28 (3 marks): Simplify 80 + 9 2 2 Give your answer in the form b a 5 where a and b are integers. Answer
- June 2018, Paper 3H, Q20 (3 marks): All dimensions are in centimetres. Use Pythagoras’ theorem to work out the exact value of y x Not drawn accurately Answer
- November 2017, Paper 1H, Q6 (2 marks): Work out the value of ( ) ( ) 2 2 2 3 × Answer
- June 2017, Paper 2H, Q15 (2 marks): Sami is trying to work out the exact value of y using Pythagoras’ theorem. Here is her working. (2y)2 = 62 + 82 2y2 = 36 + 64 2y2 = 100 y2 = 100 ÷ 2 y2 = 50 y =
- Specimen, Paper 1H, Q26 (2 marks): Rationalise the denominator and simplify 5 3 10 Answer
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