plumiOCR MEI A‑Level Further Maths questions by topic
Every question from every OCR MEI A-Level Further Maths paper, 2018–2025, question by question. Filter by topic, paper or year, open the mark scheme under any question, and download a set as a PDF.
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![June 2025 Core Pure, question 2: In this question you must show detailed reasoning. Find the acute angle between the planes x 2 y 2 z 5 and x 2 y z 8 . [4] - + = + + =](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42001-jun25-02-qp.webp?v=3)
![June 2025 Core Pure, question 4: (a) You are given that M and N are non-singular 2 # matrices. 2 Write down the product rule for the inverse matrices of M, N and MN. [1] (b) Verify this rule fo](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42001-jun25-04-qp.webp?v=3)
![June 2025 Core Pure, question 10: In this question you must show detailed reasoning. 1 y 2 2 Evaluate d x . Give your answer in exact form. [4] 2 x x 1 - + 0](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42001-jun25-10-qp.webp?v=3)
![June 2025 Core Pure, question 14: - , show that 14 (a) By using the definition of cosh x and sinh x in terms of ex and e x 2 2 x x x [2] cosh sinh cosh 2 . + / J cosh x sinh x N KKK OOO and (b)](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42001-jun25-14-qp.webp?v=3)
![June 2025 Core Pure, question 15: ^ ^h h 4 i 4 i 15 (a) Show that i i a b , where a and b are integers to be determined. [2] 3 e 3 e - cos 4 - - = + i The infinite series C and S are defined as](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y42001-jun25-15-qp.webp?v=3)
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