plumiParametric equations: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.03.3 Parametric equations, 2018–2025, 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 Parametric equations, as a list
- June 2025, Paper 1, Q7 (9 marks): In this question you must show detailed reasoning. 3 2 2 A curve has parametric equations x t t , y t t2 for all real values of t. = + = + The curve passes thro
- June 2024, Paper 3, Q6 (6 marks): The curve C is defined, for 0 t 1 2 r, by the parametric equations G x 4 k k sin t , y 2 4 cos t , = + = + where k is a constant. (a) Find a cartesian equation
- June 2022, Paper 1, Q12 (12 marks): c m. 1 1 2 12 A curve has parametric equations x t y , 2 t . The point P is ,p p = = 2 (a) Show that the equation of the tangent at P can be written as y 2 p x
- November 2021, Paper 1, Q9 (10 marks): A particle moves in the x-y plane so that at time t seconds, where t 0 , its coordinates are given by H - . 2 t t 3 t x e 4 e 3 , y 2 e = - + = (a) Explain why
- June 2019, Paper 2, Q3 (9 marks): (a) A circle is defined by the parametric equations x 3 2 cos , y 4 2 sin . = + =- + i i (i) Find a cartesian equation of the circle. [2] (ii) Write down the ce
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