plumiBinomial expansion (positive n): Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 4.1 Binomial expansion (positive 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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All 8 questions on Binomial expansion (positive n), as a list
- June 2025, AS Pure, Q14 (7 marks): In this question you must show detailed reasoning. f (x) = (1 + kx) 8 where k is a constant. Given that the first 3 terms, in ascending powers of x, of the bino
- June 2024, AS Pure, Q6 (6 marks): The binomial expansion of (1 + ax) 12 up to and including the term in x 2 is 1 – 15 2 x + kx 2 where a and k are constants. (a) Show that a = – 5 8 (2) (b) Henc
- June 2023, AS Pure, Q14 (5 marks): Find, in simplest form, the coefficient of x5 in the expansion of (5)
- June 2022, AS Pure, Q6 (6 marks): (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of 3 2 9 8 − x giving each term in simplest form. (4) f ( ) x x x x =
- November 2021, AS Pure, Q8 (7 marks): g(x) = (2 + ax) 8 where a is a constant Given that one of the terms in the binomial expansion of g(x) is 3402x 5 (a) find the value of a. (4) Using this value o
- November 2020, Pure 2, Q4 (3 marks): In the binomial expansion of (a + 2x) 7 where a is a constant the coefficient of x4 is 15 120 Find the value of a. (3)
- November 2020, AS Pure, Q6 (6 marks): (a) Find the first 4 terms, in ascending powers of x, in the binomial expansion of (1 + kx)10 where k is a non-zero constant. Write each coefficient as simply a
- June 2019, AS Pure, Q8 (5 marks): (a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of 2 3 4 6 + ⎛ ⎝⎜ ⎞ ⎠⎟ x giving each term in its simplest form. (4) (b) Explain
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