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Binomial expansion: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 2.7 Binomial expansion, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q17

    June 2025 · Paper 1

    The whole paper ↗
  2. Q19

    June 2024 · Paper 2

    The whole paper ↗
  3. Q16

    June 2023 · Paper 1

    The whole paper ↗
  4. Q11

    June 2022 · Paper 1

    The whole paper ↗
  5. Q16

    November 2021 · Paper 2

    The whole paper ↗
  6. Q16

    Specimen · Paper 1

    The whole paper ↗
All 6 questions on Binomial expansion, as a list
  1. June 2025, Paper 1, Q17 (3 marks): The expansions of (4a + x)4 and (5 – 2x)3 have the same coefficient of x3 Work out the value of a. a =
  2. June 2024, Paper 2, Q19 (4 marks): In the expansion of (3 + ax)5 where a is a non-zero constant 8 × coefficient of x2 = coefficient of x4 Work out the possible values of a. Answer
  3. June 2023, Paper 1, Q16 (4 marks): The expansions of (1 + 12x)4 and (a + 4x)3 have the same coefficient of x2 Work out the value of a. a =
  4. June 2022, Paper 1, Q11 (4 marks): Expand and simplify fully (3 + 2x)5 Answer
  5. November 2021, Paper 2, Q16 (3 marks): The coefficient of x4 in the expansion of (a + 2x)6 is 1500 Work out the two possible values of a. Answer and
  6. Specimen, Paper 1, Q16 (4 marks): The coefficient of the x4 term in the expansion of (2x + a)6 is 60 Work out the possible values of a. Answer

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