plumiIteration: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 9.2 Iteration, 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 Iteration, as a list
- June 2025, Pure 1, Q9 (9 marks): O T t v Figure 2 A racing car is driven along a straight road. Figure 2 shows a graph of the speed of the car as it travels along the road. The car starts from
- June 2024, Pure 2, Q6 (7 marks): O y = f(x) y = g(x) x y Figure 1 Figure 1 shows a sketch of the curves with equations y = f(x) and y = g(x) where f(x) = e 4x2 – 1 x > 0 g(x) = 8 ln x x > 0 (a)
- June 2023, Pure 1, Q15 (13 marks): A curve has equation y = f(x), where f(x) = 7 2 3 x x x e e − x > ln 2 3 (a) Show that f′(x) = 7 2 2 3 3 3 2 e e 2(e x x x x Ax B ( ( ) ) ) where A and B are co
- June 2022, Pure 1, Q8 (8 marks): v t T O Figure 2 A car stops at two sets of traffic lights. Figure 2 shows a graph of the speed of the car, v ms−1, as it travels between the two sets of traffi
- November 2021, Pure 1, Q4 (9 marks): The curve with equation y = f (x) where f (x) = x2 + ln (2x2 − 4x + 5) has a single turning point at x = α (a) Show that α is a solution of the equation 2x3 − 4
- November 2020, Pure 2, Q7 (10 marks): y P O x Figure 1 Figure 1 shows a sketch of the curve C with equation y = 4 2 2x x x + − 4 ln x x > 0 (a) Show that d d y x = 12 16 4 2x x x x x + − (4) The poi
- June 2019, Pure 2, Q11 (11 marks): y x C O Figure 8 Figure 8 shows a sketch of the curve C with equation y = x x , x 0 (a) Find, by firstly taking logarithms, the x coordinate of the turning poin
- June 2018, Pure 1, Q4 (4 marks): The curve with equation y = 2 ln(8 − x) meets the line y = x at a single point, x = α. (a) Show that 3 < α < 4 (2) y 4 4 x O y = 2 ln(8 − x) y = x Figure 2 Figu
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