plumiAreas in polar coordinates: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 7.2 Areas in polar coordinates, 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 7 questions on Areas in polar coordinates, as a list
- June 2025, Pure Core 2, Q6 (6 marks): One of the regions bounded by two polar curves, C1 and C2, is used to model the face of a flat earring. The polar equations of C1 and C2 are C r : 2 = i 1 2 C r
- June 2024, Pure Core 1, Q12 (7 marks): For any positive parameter k, the curve Ck is defined by the polar equation 10 0 r k ( cos 1 ) , 2 . = i + + G i G r k For each value of k the curve is a single
- June 2023, Pure Core 2, Q10 (7 marks): In this question you must show detailed reasoning. A region, R, of the floor of an art gallery is to be painted for the purposes of an art installation. A suita
- June 2022, Pure Core 1, Q5 (11 marks): ^ h for 0 5 The diagram below shows the curve C with polar equation r 3 1 sin 2i 2 r. = - G i G C 0 i = O ^ h 2 3 2 4 (a) Show that a cartesian equation of C is
- November 2021, Pure Core 1, Q7 (9 marks): 7 The diagram below shows the curve with polar equation r sin 3i for 0 r. = G G i 3 0 i = O (a) Find the values of i at the pole. [1] (b) Find the polar coordin
- November 2020, Pure Core 2, Q6 (6 marks): The equation of a curve in polar coordinates is r ln ( 1 sin ) for b where a and b are = + i a G i G non-negative angles. The curve consists of a single closed
- June 2019, Pure Core 2, Q9 (11 marks): In this question you must show detailed reasoning. 1 e cos The diagram below shows the curve r sin i for 0 G r. = G i i 3 i = 0 O (a) Find the exact area enclos
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