plumiIndices: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 2.1 Indices, 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 12 questions on Indices, as a list
- June 2025, AS Paper 1, Q9 (5 marks): a k in the form x 1 3 5 p q 9 (a) Write the expression x x x [1] 3 . + + 2 2 a k. The curve passes through the point (1, –2). d y 1 3 5 (b) A curve has gradient
- June 2025, AS Paper 2, Q1 (2 marks): You are given that b, c and d are integers greater than 1. a k . c 0 (a) State the value of d [1] (b) State the value of log b b . [1]
- June 2025, AS Paper 2, Q13 (6 marks): In this question you must show detailed reasoning Determine the exact value of c 6 2 d m 8 y x , + 3 2 )x x ( 1 giving your answer in its simplest form. [6]
- June 2023, Paper 1, Q3 (3 marks): ^ h y 2 4 - 3 Find x x x d x . [3]
- June 2023, Paper 2, Q3 (3 marks): In this question you must show detailed reasoning. 3 d n - 64 m 2 Find the smallest possible positive integers m and n such that . [3] = n 49
- November 2021, AS Paper 2, Q4 (4 marks): J N 6 y 2 + KK OO 4 Find 9 x d x . [4] x L P
- November 2020, Paper 1, Q1 (2 marks): c m 4 2 c 27 m x 1 Simplify 3 . [2] # 9 9 x
- November 2020, Paper 3, Q9 (3 marks): b a 9 (a) Show that if a = 1 and b 2 1 then a 1 b . [2] (b) Find integer values of a and b with b 2 a 2 1 and ab not greater than ba (a counter example to the c
- June 2019, Paper 1, Q1 (3 marks): In this question you must show detailed reasoning. ^ h 9 y 233 Show that 2 x x d x . [3] + = 3 4
- June 2019, AS Paper 2, Q1 (3 marks): = 1 Solve the equation x 4 - 7 , giving your answer as a fraction in its lowest terms. [3] 2
- June 2018, Paper 2, Q7 (4 marks): c 6 m y 7 x x [4] Find 4 d . - 3 x 5 Answer all the questions
- June 2018, AS Paper 2, Q6 (4 marks): y 6 x x [4] Show that ( 3 4 ) d 99 . + = 0
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