plumiAreas in polar coordinates: OCR MEI A‑Level Further Maths questions
OCR MEI 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 6 questions on Areas in polar coordinates, as a list
- June 2025, Core Pure, Q6 (9 marks): 2 2 6 The figure below shows the curve with cartesian equation ( x y ) xy . + = y x O 2 (a) Show that the polar equation of the curve is r a sin b , where a and
- June 2024, Core Pure, Q9 (8 marks): A curve has polar equation r a sin 3i , for 0 G r, where a is a positive constant. = i G (a) Sketch the curve. Indicate the parts of the curve where r is negati
- June 2022, Core Pure, Q5 (7 marks): (a) Sketch the polar curve r a 1 ( cos ), 0 2 , where a is a positive constant. [2] 1 = - i i r G (b) Determine the exact area of the region enclosed by the cur
- June 2022, Further Pure with Technology, Q1 (20 marks): (a) A family of curves is given by the equation 2 2 x y 2 axy = (*) 1 + + where the parameter a is a real number. You may find it helpful to use a slider (for a
- November 2020, Core Pure, Q5 (8 marks): Fig. 5 shows the curve with polar equation r a 3 ( 2 cos ) for , where a is a = + i - r G i G r constant. B A O = 0 i Fig. 5 (a) Write down the polar coordinate
- June 2019, Core Pure, Q7 (8 marks): ^ h 2 2 2 2 7 A curve has cartesian equation x y 2 c xy , where c is a positive constant. + = 2 2 (a) Show that the polar equation of the curve is r c sin 2 . [
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR MEI A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.