plumiPartial fractions: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 2.11 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 6 questions on Partial fractions, as a list
- Summer 2025, Unit 3, Q11 (10 marks): 5 2 x d x 11. Find , giving your answer in the form lna + b, where a, b are constants. 2 1 2 1 x x [10] 1
- Summer 2024, Unit 3, Q1 (11 marks): 1. The function f is given by 25 32 x . f x 2 5 1 2 x x x Express f x in terms of partial fractions. (a) [4] 2 f x d x ln P (b
- Summer 2023, Unit 3, Q3 (11 marks): 0 3 a) Express )2 in terms of partial fractions. [4] ( ) 1+ 2x ( 1− x 9 b) Using your answer from part (a), find the expansion of )2 in ( ) 1+ 2x ( 1− x ascendi
- Summer 2022, Unit 3, Q5 (9 marks): 5 The function f (x) is defined by 6x + 4 ( ) = ) . f x ( ) x +1 ( ) 2x + 3 ( x −1 a) Express f (x) in terms of partial fractions. [4] ∫ 3x + 2 dx b) Find , giv
- Summer 2019, Unit 3, Q1 (7 marks): 0 1 a) Express in terms of partial fractions. [4] ( ) x + 2 ( )2 x −1 ∫ 9 dx b) Find . [3] ( ) x + 2 ( )2 x −1
- Summer 2018, Unit 3, Q5 (8 marks): 5 a) Show that 3x A B C , 2 ≡ ) + ) + ( ( x −1 x − 4 ( ) x − 4 ( ) ( ) x −1 x − 4 2 where A, B and C are constants to be found. [3] 3x 7∫ dx b) Evaluate , givin
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