Edexcel A-Level Maths past-paper questions on 2.1 Indices, 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.
June 2025, AS Pure, Q5 (6 marks): f (x) = x x x 5 2 12 4 − (a) Write f (x) in the form ax p + bx q where a, b, p and q are simplified constants. (3) (b) Hence find ∫f (x) dx giving your answer i
June 2024, Pure 1, Q9 (6 marks): The first 3 terms of a geometric sequence are 3 9 3 4 5 7 2 2 1 k k k where k is a constant. (a) Using algebra and making your reasoning clear, prove that k = 5
November 2021, AS Pure, Q2 (3 marks): In this question you should show all stages of your working. Solutions relying on calculator technology are not acceptable. Given 9 3 81 1 2 x y − + = express y
November 2020, AS Pure, Q3 (6 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. (i) Solve the equation x 2 18 − = x wr
June 2019, Pure 2, Q1 (3 marks): Given 2 4 1 2 2 x y × = express y as a function of x. (3)
June 2019, AS Pure, Q2 (8 marks): Find, using algebra, all real solutions to the equation (i) 16a2 = 2 a (4) (ii) b4 + 7b2 – 18 = 0 (4)