plumiBinomial expansion (any rational n): OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.04.2 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 7 questions on Binomial expansion (any rational n), as a list
- June 2025, Paper 1, Q8 (10 marks): 8 (a) Find the first three terms in the expansion of ( 2 )x - in ascending powers of x. [4] + 1 4 x + (b) Hence find the first three terms in the expansion of (
- June 2024, Paper 3, Q3 (7 marks): - in ascending powers of x up to and including the term in x2. 2 3 (a) Expand ( )x [4] 3 2 - (b) State the set of values of x for which this expansion is valid.
- June 2023, Paper 1, Q8 (9 marks): ^ h in ascending powers of x. 3 8 (a) Find the first three terms in the expansion of 4 3 x [4] + 2 (b) State the range of values of x for which the expansion in
- November 2021, Paper 1, Q6 (9 marks): ^ h in ascending powers of x. 1 6 (a) Find the first three terms in the expansion of 8 3 x [4] - 3 (b) State the range of values of x for which the expansion in
- November 2021, Paper 3, Q2 (6 marks): B A 60° C The diagram shows triangle ABC in which angle A is 60° and the lengths of AB and AC are ( 4 h ) cm and ( 4 h ) cm respectively. + - (a) Show that the
- November 2020, Paper 2, Q3 (7 marks): In this question you should assume that 1 1 x 1 1 . - 2 (a) For the binomial expansion of ( 1 )x - - (i) find and simplify the first four terms, [2] (ii) write
- June 2019, Paper 2, Q2 (8 marks): (a) Find the coefficient of x5 in the expansion of ( 8 2 3 2 )x . [1] - .0 5 as far as the term in x3. (b) (i) Expand ( 1 3 )x [3] + (ii) State the range of val
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