plumiBinomial expansion: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P4.4 Binomial expansion, 2019–2025, with its mark scheme and examiner’s report.
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All 16 questions on Binomial expansion, as a list
- June 2025, Pure 4 (P4), Q8 (10 marks): (a) Find, in ascending powers of x, the first three non‑zero terms of the binomial series expansion of 1 4 + x giving each coefficient as a simplified fraction.
- June 2025 (A), Pure 4 (P4), Q4 (9 marks): (a) Find, in ascending powers of x, the first 4 terms of the binomial expansion of ( ) 4 5 1 2 + x giving each term in simplest form. (b) State the range of val
- January 2025, Pure 4 (P4), Q3 (8 marks): Given that the binomial expansion, in ascending powers of x, of 6 4 1 2 Ax is B x Cx 1 4 2 (a) find the values of the constants A, B and C. (b) State the range
- October 2024, Pure 4 (P4), Q1 (6 marks): (a) Find the first 4 terms of the binomial expansion, in ascending powers of x, of 8 3 8 3 1 3 x x giving each coefficient as a simplified fraction. (b) Use the
- June 2024, Pure 4 (P4), Q8 (8 marks): f(x) = ( ) 8 3 0 8 3 4 3 x x (a) Show that the binomial expansion of f(x) in ascending powers of x up to and including the term in x 3 is A x x Bx 8 2 2 3 ... w
- January 2024, Pure 4 (P4), Q1 (4 marks): Find, in ascending powers of x up to and including the term in x 3, the binomial expansion of ( ) 1 4 1 4 3 − − x x < fully simplifying each term.
- October 2023, Pure 4 (P4), Q1 (5 marks): (a) Find the first four terms, in ascending powers of x, of the binomial expansion of 8 2 5 2 x writing each term in simplest form. (b) Find the range of values
- June 2023, Pure 4 (P4), Q1 (9 marks): (a) Find the first 4 terms of the binomial expansion, in ascending powers of x, of 1 4 1 2 1 2 3 2 x x < giving each term in simplest form. Given that 1 4
- January 2023, Pure 4 (P4), Q1 (9 marks): f (x) = 5 10 1 2 3 x x x + − + ( )( ) (a) Write f (x) in partial fraction form. (b) (i) Hence find, in ascending powers of x up to and including the terms in x2
- October 2022, Pure 4 (P4), Q4 (8 marks): g (x) = 1 4 2 −x (a) Find, in ascending powers of x, the first four non-zero terms of the binomial expansion of g (x). Give each coefficient in simplest form. (
- June 2022, Pure 4 (P4), Q1 (7 marks): The binomial expansion of (3 + kx) –2 ½kx½ < 3 where k is a non-zero constant, may be written in the form A + Bx + Cx 2 + Dx 3 + ... where A, B, C and D are con
- January 2022, Pure 4 (P4), Q2 (7 marks): (a) Find, in ascending powers of x, the first three non-zero terms of the binomial series expansion of 1 4 3 3 + x | x | < 1 4 3 giving each coefficient as a si
- October 2021, Pure 4 (P4), Q4 (6 marks): f (x) = 1 4 2 − x |x| < 1 2 (a) Find, in ascending powers of x, the first four non-zero terms of the binomial expansion of f (x) . Give each coefficient in simp
- June 2021, Pure 4 (P4), Q1 (7 marks): Given that k is a constant and the binomial expansion of 1 + kx | kx | < 1 in ascending powers of x up to the term in x3 is 1 + 1 8 x + Ax2 + Bx3 (a) (i) find t
- January 2021, Pure 4 (P4), Q1 (7 marks): (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of 1 4 5 1 20 1 2 − < x x giving each coefficient in its simplest form
- October 2020, Pure 4 (P4), Q2 (8 marks): (a) Use the binomial expansion to expand 4 5 4 5 1 2 − ( ) − x x < in ascending powers of x, up to and including the term in x2 giving each coefficient as a ful
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