plumiAreas between curves and lines: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 8.4 Areas between curves and lines, 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 9 questions on Areas between curves and lines, as a list
- June 2024, Pure 1, Q10 (9 marks): A l1 R l2 O x y Figure 3 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figu
- June 2024, AS Pure, Q8 (10 marks): A B C R O y x l Figure 3 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figu
- June 2023, AS Pure, Q5 (5 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. O y 23 x y = 4x + 3 R 2 Figure 2 The f
- June 2022, Pure 1, Q16 (9 marks): y 4 C R x O Figure 6 Figure 6 shows a sketch of the curve C with parametric equations x = 8 sin2 t y = 2 sin 2t + 3 sin t 0 t π 2 The region R, shown shaded
- June 2022, AS Pure, Q10 (10 marks): P C O R y x l Figure 2 In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Figure 2 shows
- November 2021, Pure 2, Q7 (9 marks): In this question you should show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. x C O l R P(5, –13) y Figur
- November 2021, AS Pure, Q14 (10 marks): A curve C has equation y = f(x) where f(x) = –3x 2 + 12x + 8 (a) Write f(x) in the form a(x + b) 2 + c where a, b and c are constants to be found. (3) The curve
- November 2020, Pure 2, Q12 (11 marks): y R O x Figure 3 The curve shown in Figure 3 has parametric equations x = 6 sin t y = 5 sin 2t 0 t 2 π The region R, shown shaded in Figure 3, is bounded by
- June 2018, Pure 2, Q13 (10 marks): y x O R C P(e, e) l Figure 2 Figure 2 shows a sketch of part of the curve C with equation y = x ln x, x > 0 The line l is the normal to C at the point P(e, e) T
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