plumiSurds: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.02.2 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 6 questions on Surds, as a list
- June 2025, AS Paper 2, Q2 (4 marks): In this question you must show detailed reasoning. D C 2 12 cm A B ( 3 3 cm ) - The diagram shows the rectangle ABCD where AB ( 3 3 ) cm. = - cm2 The area of AB
- June 2024, AS Paper 1, Q9 (5 marks): a 7 a 5 - m n 9 Express 2 2 in the form a a , where m and n are integers and a 0 or 1 . [5] + ! a 3 a - 2
- June 2023, AS Paper 2, Q2 (4 marks): In this question you must show detailed reasoning. Solve the equation x 5 32 x 45 2 x . Give your answer in the form a 5 + , where a and b b + = + are integers
- June 2019, AS Paper 2, Q1 (3 marks): In this question you must show detailed reasoning. Solve the equation ( x 3 5 ) 24 , giving your answer in the form a b 5 , where a and b are - = + positive int
- June 2018, Paper 3, Q5 (13 marks): (i) Use the trapezium rule, with two strips of equal width, to show that 4 = 1 11 x x [5] d 2 . . - 4 2 + 0 (ii) Use the substitution x = u2 to find the exact v
- June 2018, AS Paper 1, Q1 (5 marks): In this question you must show detailed reasoning. 7 in the form a b, where a is an integer and b is a prime number. (i) Express 32 [2] 2 (ii) Express 1 in the
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