plumiReduction formulae: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.4 Reduction formulae, 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 7 questions on Reduction formulae, as a list
- June 2025, Further Pure 2, Q6 (8 marks): I x x n n 4 2 0 2 d (a) Prove that, for n 1 I n n I n n 8 2 1 1 (4) (b) Using the result from part (a) and showing all stages of your working, determine the
- June 2024, Further Pure 2, Q6 (11 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. I nx x x n n cos( ) sin d 1
- June 2023, Further Pure 2, Q8 (7 marks): (a) Prove that for n 1 I a n I n n n 2 1 4 where a is a constant to be determined. (4) (b) Hence determine the exact value of (3)
- June 2022, Further Pure 2, Q9 (7 marks): 2 0 sin 2 d π n nI x x =∫ (a) Prove that for n 2 In = n n −1 In – 2 (4) (b) Hence determine the exact value of 2 5 5 0 64sin cos d π x x x ∫ (3)
- November 2021, Further Pure 2, Q7 (15 marks): In this question you must show all stages of your working. You must not use the integration facility on your calculator. In = t t t n∫ + 4 5 2 d n 0 (a) Show
- November 2020, Further Pure 2, Q7 (8 marks): In = ∫(4 – x2) –n dx n > 0 (a) Show that, for n > 0 I x n x n n I n n n + = − + − 1 2 8 4 2 1 8 ( ) (5) (b) Find I2 (3)
- June 2019, Further Pure 2, Q5 (8 marks): I x x n n n = ∈ ∫cosec d ] (a) Prove that, for n . 2 I n n I x x n n n n = − − − − − − 2 1 1 2 2 cosec cot (4) (b) Hence show that 2 6 3 56 cosec d 3 135 π π x
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