plumiSurds: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 2.2 Surds, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 14 questions on Surds, as a list
- June 2025, Paper 3, Q11 (5 marks): 1 11 The nth term of a sequence is defined by a + , for n H . 1 n = - n 1 1 n 1 1 + - + (a) Prove that every term in the sequence, an, is a rational number. [3]
- June 2024, Paper 2, Q1 (2 marks): Calculate the exact distance between the points (2, 1 - ) and (6, 1). Give your answer in the form a b, where a and b are prime numbers. [2]
- June 2024, Paper 3, Q4 (2 marks): In this question you must show detailed reasoning. 1 1 1 Determine the exact value of 2 . [2] + + 1 3 2 2 3 + + +
- June 2024, AS Paper 2, Q4 (3 marks): In this question you must show detailed reasoning. 1 4 3 + Express 2 in the form a b 3 , where a and b are integers to be determined. [3] + 3 +
- June 2023, Paper 3, Q3 (3 marks): In this question you must show detailed reasoning. 1 1 k Find the value of k such that . [3] + = 5 6 6 7 5 7 + + +
- June 2023, AS Paper 2, Q5 (3 marks): Show that the distance between the points (5, 2) and (11, ‒1) is a b, where a and b are integers to be determined. [3]
- June 2022, AS Paper 1, Q1 (3 marks): n + 1 Rationalise the denominator of the fraction ,n where n is a positive integer. [3] 3 +
- November 2021, Paper 3, Q6 (4 marks): In this question you must show detailed reasoning. 3 1 =/ Show that 1 . [4] = r r 1 + + r 1
- November 2020, Paper 1, Q2 (3 marks): Express a 2 + 2 in the form p q 2 , giving p and q in terms of a. [3] + 3 2 - J N J N 3 1 -
- June 2019, Paper 3, Q4 (3 marks): In this question you must show detailed reasoning. 1 1 1 3 Show that 10 . [3] + + = 11 11 12 12 13 10 13 + + + +
- June 2019, AS Paper 1, Q3 (4 marks): k 3 2 - in the form a 3 Given that k is an integer, express b 2 where a and b are rational + 8 1 + expressions in terms of k. [4]
- June 2019, AS Paper 2, Q3 (3 marks): Without using a calculator, prove that 3 2 [3] 2 2 3 .
- June 2018, Paper 2, Q1 (2 marks): Show that a b , where a and b are prime numbers to be determined. [2] 27 192 + =
- June 2018, AS Paper 1, Q1 (2 marks): 1 in the form a b 5 , where a and b are integers to be found. [2] Write 3 + 5 -
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