plumiBinomial expansion (any rational n): WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 4.2 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 6 questions on Binomial expansion (any rational n), as a list
- Summer 2025, Unit 3, Q12 (7 marks): x in ascending powers of x up to and including the term in x3. 12. Expand 3 1 2 x State the range of values of x for which the expansion is valid. [7]
- Summer 2024, Unit 3, Q12 (6 marks): 2cos sin 1 1 2 Given that θ is small, show that 12. (a) . [2] Hence, when θ is small, show that (b) 1 2 1 a b , 2cos sin 1 whe
- Summer 2023, Unit 3, Q3 (11 marks): 0 3 a) Express )2 in terms of partial fractions. [4] ( ) 1+ 2x ( 1− x 9 b) Using your answer from part (a), find the expansion of )2 in ( ) 1+ 2x ( 1− x ascendi
- Summer 2022, Unit 3, Q8 (8 marks): − x 0 8 Find the first three terms in the binomial expansion of in ascending powers 1+ 3x of x. State the range of values of x for which the expansion is valid.
- Summer 2019, Unit 3, Q2 (6 marks): − x Expand in ascending powers of x up to and including the term in x3. State the 0 2 1+ 2x range of values of x for which the expansion is valid. [6]
- Summer 2018, Unit 3, Q6 (5 marks): −1 ( ) 1− 4x 0 6 Write down the first three terms in the binomial expansion of in ascending 2 powers of x. State the range of values of x for which the expansio
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