plumiParametric equations: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 3.3 Parametric equations, 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 Parametric equations, as a list
- June 2025, Pure 2, Q5 (7 marks): The curve C has parametric equations x t 1 2 y = 5(t + 2) 4 t ∈ The point P with x coordinate –3 lies on C. (a) Find the y coordinate of P. (2) (b) Find a Car
- June 2024, Pure 2, Q10 (6 marks): O C x y Figure 4 Figure 4 shows a sketch of the curve C with parametric equations x t y t t 3 1 2 1 2 3 The point P with coordinates (4, 2) lies on C. (a
- June 2023, Pure 2, Q9 (7 marks): The curve C has parametric equations x = t 2 + 6t – 16 y = 6 ln(t + 3) t > –3 (a) Show that a Cartesian equation for C is y = A ln (x + B) x > –B where A and B
- June 2022, Pure 2, Q16 (12 marks): y l P C O x Figure 6 Figure 6 shows a sketch of the curve C with parametric equations x = 2 tan t + 1 y = 2 sec 2 t + 3 − 4 π t 3 π The line l is the normal
- November 2021, Pure 1, Q13 (3 marks): A curve C has parametric equations x = t t 2 2 5 1 + + y = 4 1 2 t t + t ∈ Show that all points on C satisfy (x − 3) 2 + y2 = 4 (3)
- 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 2019, Pure 2, Q4 (6 marks): y x O S C2 C1 Figure 2 The curve C1 with parametric equations x FRVt , y = 4 2sin t , 0 - t 2ʌ meets the circle C2 with equation x2 + y2 = 66 at four dist
- June 2018, Pure 1, Q14 (10 marks): A curve C has parametric equations x = 3 + 2 sin t, y = 4 + 2 cos 2t, 0 t < 2π (a) Show that all points on C satisfy y = 6 − (x − 3)2 (2) (b) (i) Sketch the c
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