plumiBinomial expansion (any rational n): AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on D.2 Binomial expansion (any rational n), 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 8 questions on Binomial expansion (any rational n), as a list
- June 2025, Paper 1, Q4 (2 marks): The first three terms, in ascending powers of x, of the binomial expansion of (1 – 8x) 1 2 are 1 + nx – 8x2 where n is a constant. 4 (a) State the range of valu
- June 2024, Paper 2, Q9 (13 marks): (a) (i) Find the binomial expansion of (1 + 3x)–1 up to and including the term in x2 [2 marks] 9 (a) (ii) Show that the first three terms in the binomial expans
- June 2023, Paper 2, Q9 (6 marks): (a) Find the first three terms, in ascending powers of x, of the binomial expansion of (1 + x) −1 2 [2 marks] 9 (b) A student substitutes x = 2 into the expansi
- June 2022, Paper 1, Q6 (6 marks): (a) Find the first two terms, in ascending powers of x, of the binomial expansion of 1 × x 2 1 2 [2 marks] 6 (b) Hence, for small values of x, show that sin 4x
- June 2022, Paper 3, Q1 (1 mark): State the range of values of x for which the binomial expansion of 1 − x 4 r is valid. Circle your answer. [1 mark] jxj < 1 4 jxj < 1 jxj < 2 jxj < 4
- November 2020, Paper 1, Q1 (2 marks): The first three terms, in ascending powers of x, of the binomial expansion of (9 + 2x) 1 2 are given by (9 + 2x) 1 2 − a + x 3 × x2 54 where a is a constant. 1
- June 2019, Paper 2, Q9 (9 marks): (a) Show that the first two terms of the binomial expansion of 4 − 2x2 p are 2 − x2 2 [2 marks] 9 (b) State the range of values of x for which the expansion fou
- June 2018, Paper 1, Q6 (12 marks): (a) Find the first three terms, in ascending powers of x, of the binomial expansion of 1 4 + x p [3 marks] 6 (b) Hence, find the first three terms of the binomi
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