plumiParametric equations: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 3.3 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 11 questions on Parametric equations, as a list
- June 2025, Paper 3, Q14 (5 marks): (a) Draw and label a suitable triangle on the diagram in the Printed Answer Booklet to show y that tan , as given in line 30. [1] i = x 2 a ( 3 t ) 2 4 at - (b)
- June 2024, Paper 3, Q12 (9 marks): The diagram shows the curve with parametric equations x sin 2 + , 2 y 2 cos cos 2 for 0 1 2 . , r = i = i + i G i y x O (a) In this question you must show detai
- June 2024, Paper 3, Q13 (1 mark): Substitute appropriate values of t1 and t2 to verify that t t 1 2 gives the correct value for the y‑coordinate of the point of intersection of the tangents at t
- June 2024, Paper 3, Q14 (1 mark): 2 2 14 Substitute appropriate values of t1 and t2 to verify that the expression t t t t gives the + + + 2 1 2 1 2 correct value for the y‑coordinate of the poin
- June 2023, Paper 2, Q6 (4 marks): The parametric equations of a circle are x 2 cos 3 and y 2 sin + . 1 = i - = i 2 2 Determine the cartesian equation of the circle in the form ( x a ) ( y b ) k
- June 2022, Paper 1, Q8 (10 marks): t2 8 A particle moves in the x-y plane so that its position at time t s is given by x t t8 , y for = - = 3 5 . 1 t 1 3 5 . . The units of distance are metres. T
- June 2022, Paper 2, Q10 (7 marks): The parametric equations of a curve are x 2 5 cos and y 1 5 sin , where 0 2 . i i = + = + i r G G (a) Determine the cartesian equation of the curve. [3] (b) Hen
- November 2021, Paper 2, Q7 (4 marks): The parametric equations of a circle are x 7 5 cos , y 5 sin - , for 0 3 2 r. = + i = i G i G (a) Find a cartesian equation of the circle. [3] (b) State the coo
- November 2020, Paper 1, Q10 (9 marks): In this question you must show detailed reasoning. 1 1 1 Fig. 10 shows the curve given parametrically by the equations x , y , for t 2 0 . = = - t 2 3 t t y x O
- June 2019, Paper 1, Q12 (6 marks): t4 2 12 Fig. 12 shows a curve C with parametric equations x , y t4 . The point P, with parameter t, = = is a general point on the curve. Q is the point on the l
- June 2018, Paper 3, Q8 (8 marks): t t 8 A curve has parametric equations x , y t , where 1 . ! - = = 3 3 1 t 1 t + + (i) In this question you must show detailed reasoning. Determine the gradient
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