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Binomial expansion (any rational n): Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 4.2 Binomial expansion (any rational n), 2010–2025, 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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1,254 questions

  1. Q2

    June 2024 · Pure 1

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  2. Q13

    June 2023 · Pure 2

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  3. Q7

    June 2022 · Pure 2

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  4. Q9

    November 2021 · Pure 1

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  5. Q1

    November 2020 · Pure 1

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  6. Q4

    June 2019 · Pure 1

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  7. Q11

    June 2018 · Pure 1

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All 7 questions on Binomial expansion (any rational n), as a list
  1. June 2024, Pure 1, Q2 (4 marks): (a) Find, in ascending powers of x, the first four terms of the binomial expansion of 1 9 1 2 x giving each term in simplest form. (3) (b) Give a reason why x =
  2. June 2023, Pure 2, Q13 (13 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Find the first three term
  3. June 2022, Pure 2, Q7 (5 marks): (a) Find the first four terms, in ascending powers of x, of the binomial expansion of 4 9 − x writing each term in simplest form. (4) A student uses this expans
  4. November 2021, Pure 1, Q9 (11 marks): f(x) = 50 38 9 5 2 1 2 2 2 x x x x + + + ( ) − ( ) x ≠ −2 5 x ≠ 1 2 Given that f(x) can be expressed in the form A x B x C x 5 2 5 2 1 2 2 + + + ( ) + − where A
  5. November 2020, Pure 1, Q1 (5 marks): (a) Find the first four terms, in ascending powers of x, of the binomial expansion of 1 8 1 2 + ( ) x giving each term in simplest form. (3) (b) Explain how you
  6. June 2019, Pure 1, Q4 (6 marks): (a) Find the first three terms, in ascending powers of x, of the binomial expansion of 1 4 −x giving each coefficient in its simplest form. (4) The expansion ca
  7. June 2018, Pure 1, Q11 (10 marks): (a) Use binomial expansions to show that 1 4 1 1 5 2 5 8 2 + − + − x x x x » (6) A student substitutes x = 1 2 into both sides of the approximation shown in par

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