plumiArc length and surface area: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.5 Arc length and surface area, 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 Arc length and surface area, as a list
- June 2025, Further Pure 2, Q8 (10 marks): 60 cm 10 cm x y O C Figure 1 Figure 2 Figure 1 shows a satellite dish. Figure 2 shows a sketch of the curve C with equation y 2 = Ax 0 x 10 where A is a pos
- June 2024, Further Pure 2, Q8 (13 marks): bell section y x = 9 2 1 9 e 9 2 O 9 x y Figure 1 Figure 2 Figure 1 shows a French horn with a detachable bell section. The shape of the bell section can be mod
- June 2023, Further Pure 2, Q10 (12 marks): y x O C Figure 2 A solid playing piece for a board game is modelled by rotating the curve C, shown in Figure 2, through 2π radians about the x-axis. The curve C
- June 2022, Further Pure 2, Q10 (12 marks): Figure 2 O y C Figure 3 x Figure 2 shows a picture of a plant pot. The plant pot has • a flat circular base of radius 10 cm • a height of 15 cm Figure 3 shows a
- November 2021, Further Pure 2, Q7 (15 marks): In this question you must show all stages of your working. You must not use the integration facility on your calculator. In = t t t n∫ + 4 5 2 d n 0 (a) Show
- 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, 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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