plumiBinomial expansion (positive n): OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.04.1 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 11 questions on Binomial expansion (positive n), as a list
- June 2025, AS Paper 1, Q5 (5 marks): (a) Find the coefficient of x7 in the expansion of ( 3 9 5 2 x ) . [2] + 21 (b) The following questions are about the binomial expansion of ( 1 )x in ascending
- June 2024, Paper 2, Q8 (6 marks): Sweets from a certain manufacturer are sold in packets. Thirty per cent of the sweets are orange, and these are randomly distributed amongst the packets. Each p
- June 2024, AS Paper 1, Q4 (4 marks): (a) Write down the term in b5 in the expansion of ( b 12 4 a ) . [1] + (b) A variable X has a binomial distribution such that P(X = 5) is given by the term in p
- June 2023, AS Paper 2, Q4 (6 marks): a k , 6 1 4 (a) Find and simplify the first three terms in the expansion, in ascending powers of x, of 2 kx + 3 where k is a constant. [3] a k , the constant te
- June 2022, Paper 1, Q6 (8 marks): 6 (a) Find the first four terms in the expansion of ( 3 2 )x in ascending powers of x. [4] + (b) Hence determine the coefficient of y3 in the expansion of ( 4 2
- June 2022, AS Paper 1, Q1 (2 marks): Find the term in x3 in the binomial expansion of ( 5 1 3 2 )x . [2] -
- November 2020, AS Paper 1, Q4 (5 marks): 4 (a) Expand ( 1 )x . [1] + (b) Use your expansion to determine the exact value of 10024. [4]
- 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
- June 2019, AS Paper 2, Q4 (6 marks): ^ h in ascending powers of x. 5 4 (a) Find and simplify the first three terms in the expansion of 2 5 x - [3] ^ h ^ h , the coefficient of x is 48. 2 5 (b) In t
- June 2018, Paper 2, Q13 (12 marks): In this question you must show detailed reasoning. The probability that Paul’s train to work is late on any day is 0.15, independently of other days. (i) The nu
- June 2018, Paper 3, Q4 (8 marks): In this question you must show detailed reasoning. The functions f and g are defined for all real values of x by ^ h ^ h x3 2 f x and g x x 2 . = = + (i) Write
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