plumiExact calculation and surds: Edexcel GCSE Maths questions
Every Edexcel 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 17 questions on Exact calculation and surds, as a list
- June 2025, Paper 1H, Q16 (6 marks): (a) Rationalise the denominator of 35 7 Give your answer in its simplest form. − 27 1 can be written in the form a + b 3 where a and b are integers. 2 − 3 (b) W
- November 2024, Paper 1H, Q16 (6 marks): (a) Rationalise the denominator of 15 5 Give your answer in its simplest form. 75 2 in the form a − b 3 where a, b and c are integers. (b) Write c 1 2 3
- June 2024, Paper 1H, Q17 (3 marks): (a) Rationalise the denominator of 1 7 (b) Simplify fully 80 – 5
- June 2024, Paper 2H, Q15 (2 marks): Given that a is a prime number, rationalise the denominator of a + 1 Give your answer in its simplest form.
- November 2023, Paper 1H, Q22 (4 marks): The 2nd term of a geometric sequence is 3 + 2 2 The 3rd term of the sequence is 13 + 9 2 Find the value of the common ratio of the sequence. Give your answer in
- June 2023, Paper 1H, Q16 (4 marks): Here is a sphere. r Surface area of sphere = 4πr 2 3 8 of the surface area of this sphere is 75π cm 2 Find the diameter of the sphere. Give your answer in the f
- June 2023, Paper 1H, Q23 (4 marks): Write − where a, b and c are integers. c 4 − 3 3
- June 2023, Paper 2H, Q24 (5 marks): The diagram shows 8 identical regular octagons joined to enclose a shaded shape. Each octagon has sides of length a. Find, in terms of a, an expression for the
- November 2021, Paper 1H, Q19 (4 marks): Show that 8 12 can be written in the form a 3 , where a and b are integers. + + b 5 3
- November 2020, Paper 1H, Q20 (4 marks): Show that can be written in the form a + b where a and b are integers. − 5 5 5
- November 2019, Paper 1H, Q16 (5 marks): (a) Rationalise the denominator of Give your answer in its simplest form. 3 where a and b are integers. (b) Show that can be written in the form
- June 2019, Paper 1H, Q18 (5 marks): (a) Express in the form a 3 where a is an integer. 3 12 + 7 1 b ⎛ ⎞ (b) Express ⎠⎟ in the form c where b and c are integers. ⎝⎜ 3
- November 2018, Paper 1H, Q20 (3 marks): Show that ( 18 + 2 ) can be written in the form a(b + 2) where a and b are integers. 2 8 − 2
- June 2018, Paper 1H, Q13 (3 marks): can be written in the form a 10 where a is an integer. 5 ( 8 + 18 ) Find the value of a. a =
- June 2018, Paper 2H, Q20 (2 marks): Martin did this question. 14 Rationalise the denominator of 2 + 3 Here is how he answered the question. 14 14 × ( 2 − 3 ) = 2 + 3 ( 2 + 3 2 )( − 3 ) 28 − 14 3 =
- November 2017, Paper 1H, Q21 (3 marks): Show that 6 8 − can be written in the form a + b 2 where a and b are integers. 2 1 −
- November 2017, Paper 2H, Q23 (5 marks): is 5 marks)
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