plumiLocating roots by change of sign: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 9.1 Locating roots by change of sign, 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 5 questions on Locating roots by change of sign, as a list
- June 2024, Pure 1, Q3 (6 marks): f(x) = 1 3 tan 2 2 π x x π x < < Given that the equation f(x) = 0 has a single root α (a) show that α lies in the interval [3.6, 3.7] (2) (b) Find f′(
- June 2022, Pure 2, Q6 (7 marks): y x O α P Figure 2 Figure 2 shows a sketch of part of the curve with equation y = f(x) where f(x) = 8 sin 1 2 x − 3x + 9 x > 0 and x is measured in ra
- 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
- 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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