plumiBinomial expansion (any rational n): OCR MEI A‑Level Maths questions
OCR MEI 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 7 questions on Binomial expansion (any rational n), as a list
- June 2025, Paper 3, Q1 (4 marks): 1 (a) Find the first three terms in the binomial expansion of ( 1 3 )x . [3] + 2 (b) State the range of values of x for which this expansion is valid. [1]
- June 2024, Paper 2, Q10 (5 marks): (a) Determine the first three terms in ascending powers of x of the binomial expansion 1 )x [4] of ( 8 3 . + 3 (b) State the range of values of x for which this
- June 2022, Paper 1, Q4 (4 marks): Using an appropriate expansion show that, for sufficiently small values of x, x 1 - 1 1 7 2 x x . [4] . - + 4 2 16 2 ( 2 )x +
- June 2022, Paper 3, Q7 (12 marks): 7 A student is trying to find the binomial expansion of 1 x . - 3 6 x x She gets the first three terms as 1 . - + 2 8 3 3 6 x x x 3 She draws the graphs of the
- November 2020, Paper 2, Q6 (4 marks): 6 (a) Find the first three terms in ascending powers of x of the binomial expansion of ( 1 4 )x . [3] + 2 (b) State the range of values of x for which this expa
- June 2019, Paper 1, Q3 (5 marks): - , where a is a non-zero constant. In the binomial 3 3 The function ( )x f is given by ( ) f x ( 1 ax ) = - , the coefficients of x and x2 are equal. expansion
- June 2018, Paper 1, Q13 (12 marks): 8 3 13 The function f (x) is defined by ( ) f x 27 x . Jenny uses her scientific calculator to create a table of = - values for f (x) and f x ( ) . l x f x ( )
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