plumiAreas in polar coordinates: Edexcel A‑Level Further Maths questions
Edexcel 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 8 questions on Areas in polar coordinates, as a list
- June 2025, Core Pure 2, Q7 (12 marks): A O C B Initial line Figure 1 The curve C shown in Figure 1 has polar equation r a 1 sinθ ϖ θ ϖ where a is a constant. The tangents to C at the points A and B a
- June 2024, Core Pure 1, Q3 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. T P C Figure 1 Figure 1 shows
- June 2023, Core Pure 2, Q1 (4 marks): initial line R O Figure 1 Figure 1 shows a sketch of the curve with polar equation 2 sinh cosh r θ θ 0 θ π The region R, shown shaded in Figure 1, is bounde
- June 2022, Core Pure 2, Q7 (10 marks): A O R C Initial line Figure 1 Figure 1 shows a sketch of the curve C with equation r = 1 + tan θ 0 θ < 3 π Figure 1 also shows the tangent to C at the point A
- November 2021, Core Pure 2, Q6 (14 marks): The curve C has equation r = a(p + 2 cos θ) 0 θ < 2π where a and p are positive constants and p > 2 There are exactly four points on C where the tangent is pe
- November 2020, Core Pure 1, Q3 (9 marks): C1 C2 O R Initial line Figure 1 Figure 1 shows a sketch of two curves C1 and C2 with polar equations C1 : r = (1 + sin θ) 0 θ < 2π C2 : r = 3(1 – sin θ) 0 θ
- November 2020, Further Pure 2, Q4 (10 marks): 2.35 m O C 30 cm Initial line Figure 1 Figure 2 Figure 1 shows a sketch of a design for a road speed bump of width 2.35 metres. The speed bump has a uniform cro
- June 2019, Core Pure 1, Q3 (10 marks): A B D C 'LDJUDPQRW to scale P Figure 1 )LJXUHVKRZVWKHGHVLJQIRUDWDEOHWRSLQWKHVKDSHRIDUHFWDQJOHABCD7KHOHQJWK of the table, ABLV
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