plumiAlgebra and functions: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P4.2 Algebra and functions, 2019–2025, with its mark scheme and examiner’s report.
Paper
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Exam
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All 7 questions on Algebra and functions, as a list
- June 2025, Pure 4 (P4), Q4 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. f(x) = 5 17 10 1 2 1 2 x x x
- January 2024, Pure 4 (P4), Q2 (10 marks): Given that 3 4 2 2 1 2 1 2 2 1 2 2 x x x x A x B x C ( )( ) ( ) (a) find the values of the constants A, B and C. (b) Hence find the exact value of 3 4 2 2 1 2 7
- 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), Q2 (7 marks): (a) Express 3 2 1 2 x x x − ( ) − ( ) in partial fraction form. (b) Hence show that 3 2 1 2 5 25 x x x x k − ( ) − ( ) = ∫ d ln where k is a fully simplified fr
- June 2022, Pure 4 (P4), Q2 (9 marks): (a) Express 1 1 3 1 ( )( ) + − x x in partial fractions. (b) Hence find the solution of the differential equation (1 + 3x)(1 – x) d d y x = tan y – 1 3 < x 1
- January 2022, Pure 4 (P4), Q3 (9 marks): The curve C has parametric equations x = 3 + 2 sin t y = 6 7 2 + cos t −2 π t 2 π (a) Show that C has Cartesian equation y = 12 7 1 ( )( ) − + x x p x q
- October 2021, Pure 4 (P4), Q3 (8 marks): g (x) = 3 8 3 6 3 3 2 x x x x x + − − + ( ) ≡ Ax + B + C x + D x + 3 (a) Find the values of the constants A, B, C and D. A curve has equation y = g (x) x > 0 Us
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