plumiBinomial expansion (positive n): WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 4.1 Binomial expansion (positive 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 6 questions on Binomial expansion (positive n), as a list
- Summer 2025, AS Unit 1, Q16 (7 marks): 16. The binomial expansion of 7 2 2 x is given by 7 2 x 2 = a0 + a1x2 + a2x4 + a3x6 + a4x8 + a5x10 + a6x12 + a7x14. (a) Find the numerical values of
- Summer 2024, AS Unit 1, Q9 (9 marks): (2 x ) up to and including the term in x2. 9. (a) Write down the binomial expansion of [3] (b) Given that 6 2 (1 ax )(2 x ) 64 bx 336 x , find th
- Summer 2023, AS Unit 1, Q1 (6 marks): 1 a) Using the binomial theorem, write down and simplify the first three terms in the expansion of (1 – 3x)9 in ascending powers of x. [3] Hence, by writing x =
- Summer 2022, AS Unit 1, Q13 (4 marks): ( )5 2 − 3x 1 3 Find the term which is independent of x in the expansion of . [4] x3
- Summer 2019, AS Unit 1, Q12 (6 marks): 2 In the binomial expansion of (2 – 5x)8, find a) the number of terms, [1] the 4th term, when the expansion is in ascending powers of x, b) [2] c) the greatest
- Summer 2018, AS Unit 1, Q10 (4 marks): ( ) 4 a + b 1 0 a) Use the binomial theorem to expand . [2] ( ) ( ) 4 4 a + b + a − b b) Hence, deduce an expression in terms of a and b for . [2]
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