plumiPartial fractions: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 2.11 Partial fractions, 2010–2025, 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 8 questions on Partial fractions, as a list
- June 2025, Pure 2, Q7 (4 marks): Given that 3 8 6 11 1 3 1 3 3 2 x x x x x Ax B C x D x x ∈ x ≠ –1, 3 find the value of each of the constants A, B, C and D. (4)
- June 2024, Pure 2, Q12 (12 marks): (a) Express 1 25 V V in partial fractions. (2) The volume, V microlitres, of a plant cell t hours after the plant is watered is modelled by the differential equ
- June 2023, Pure 2, Q10 (7 marks): f ( ) ( )( ) x kx x x 3 18 4 2 where k is a positive constant (a) Express f (x) in partial fractions in terms of k. (3) (b) Hence find the exact value of k for
- June 2022, Pure 2, Q14 (10 marks): (a) Express 3 2 1 1 ( )( ) x x − + in partial fractions. (3) When chemical A and chemical B are mixed, oxygen is produced. A scientist mixed these two chemicals
- November 2021, Pure 1, Q9 (11 marks): f(x) = 50 38 9 5 2 1 2 2 2 x x x x + + + ( ) − ( ) x ≠ −2 5 x ≠ 1 2 Given that f(x) can be expressed in the form A x B x C x 5 2 5 2 1 2 2 + + + ( ) + − where A
- November 2020, Pure 2, Q6 (7 marks): (a) Given that x x x Ax B C x x x 2 8 3 2 2 2 + − + ≡ + + + ∈ ≠− find the values of the constants A, B and C (3) (b) Hence, using algebraic integration, find
- June 2019, Pure 1, Q13 (11 marks): The curve C with equation y p x x q x = − − + 3 2 3 ( )( ) x , x x ≠− ≠ 3 2 , where S and q are constants, passes through the point 3 1 2 , ⎛ ⎝⎜ ⎞ ⎠⎟ and has
- June 2018, Pure 2, Q11 (7 marks): 1 11 6 3 1 2 3 1 2 2 + − − − ≡ + − + − x x x x A B x C x ( )( ) ( ) ( ) (a) Find the values of the constants A, B and C. (4) f (x) = 1 11 6 3 1 2 2 + − − − x x
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