plumiPolar coordinates: Edexcel A‑Level Further Maths questions
Every Edexcel A-Level Further Maths exam question on CP.7 Polar coordinates, 2018–2025, with its mark scheme and examiner’s report.
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All 10 questions on 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 2023, Core Pure 2, Q4 (7 marks): (a) Sketch the polar curve C, with equation r = 3 + 5 cos θ 0 θ 2π On your sketch clearly label the pole, the initial line and the value of r at the point w
- 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
- June 2019, Further Pure 2, Q8 (13 marks): A B C D 5 cm Figure 1 Figure 1 shows the vertical cross section of a child’s spinning top. The point A is vertically above the point B and the height of the spi
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