plumiPartial fractions: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on B.11 Partial fractions, 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 5 questions on Partial fractions, as a list
- June 2025, Paper 3, Q8 (7 marks): (a) The expression x 2x2 + 3x + 1 can be written in the form A x + 1 + B 2x + 1 Find the value of A and the value of B [3 marks] 8 (b) Use your answer to part (
- June 2024, Paper 2, Q9 (13 marks): (a) (i) Find the binomial expansion of (1 + 3x)–1 up to and including the term in x2 [2 marks] 9 (a) (ii) Show that the first three terms in the binomial expans
- November 2021, Paper 2, Q5 (3 marks): Express 5(x − 3) (2x − 11)(4 − 3x) in the form A (2x − 11) + B (4 − 3x) where A and B are integers. [3 marks]
- November 2020, Paper 1, Q9 (7 marks): Chloe is attempting to write 2x2 + x (x + 1)(x + 2)2 as partial fractions, with constant numerators. Her incorrect attempt is shown below. Step 1 2x2 + x (x + 1
- June 2019, Paper 3, Q7 (8 marks): (a) Express 4x + 3 (x − 1)2 in the form A x − 1 + B (x − 1)2 [3 marks] 7 (b) Show that ( 4 3 4x + 3 (x − 1)2 dx = p + ln q where p and q are rational numbers. [
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