plumiVolumes of revolution: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 5.1 Volumes of revolution, 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 13 questions on Volumes of revolution, as a list
- June 2025, Core Pure 1, Q10 (12 marks): (a) Given that, for n ∈ z z n n n 1 2cos θ z z n n n 1 2isin θ show that 8 4 4 2 3 4 sin cos cos θ θ θ (5) O y R x Figure 1 Figure 2 Figure 1 shows the central
- June 2025, AS Core Pure, Q7 (8 marks): x O y C –12 24 m Figure 1 Figure 2 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not accept
- June 2024, Core Pure 2, Q9 (10 marks): A 4 cm 4.5 cm D E F B C D O C x y 7 cm Figure 1 Figure 2 Figure 1 shows the central vertical cross-section ABCDEFA of a vase together with measurements that hav
- June 2024, AS Core Pure, Q8 (11 marks): x E D y B A O R C B A Figure 1 Figure 2 O C Figure 1 shows the central vertical cross-section, OABCDEO, of the design for a solid glass ornament. Figure 2 shows
- June 2023, Core Pure 2, Q7 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. 1.257 –1.545 O x y Figure 2 J
- June 2023, AS Core Pure, Q5 (8 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Figure 1 O C R y x Figure 2 A large pi
- June 2022, Core Pure 1, Q8 (12 marks): (a) Given zn + 1 zn = 2 cos nθ n ∈ show that 32 cos6 θ ≡ cos 6θ + 6 cos 4θ + 15 cos 2θ + 10 (5) y x O x = –4 x = 4 R Figure 1 Figure 2 Figure 1 shows a solid
- June 2022, AS Core Pure, Q8 (15 marks): 16 cm 8 cm (−8, a) (8, a) y x O (0, a) top base Figure 1 Figure 2 Figure 1 shows a sketch of a 16 cm tall vase which has a flat circular base with diameter 8 cm
- November 2021, Core Pure 2, Q7 (9 marks): Solutions based entirely on graphical or numerical methods are not acceptable. O y x R y = arsinh x y = β Figure 1 Figure 1 shows a sketch of part of the curve
- November 2020, Core Pure 2, Q7 (11 marks): y x O A C1 B C2 Figure 1 A student wants to make plastic chess pieces using a 3D printer. Figure 1 shows the central vertical cross-section of the student’s des
- November 2020, AS Core Pure, Q3 (5 marks): y O x R Figure 1 Figure 1 shows a circle with radius r and centre at the origin. The region R, shown shaded in Figure 1, is bounded by the x-axis and the part o
- June 2019, Core Pure 2, Q8 (11 marks): A C B D 2.36 m 2 m y x O 1 B D Figure 1 Figure 2 Figure 1 shows the central vertical cross section ABCD of a paddling pool that has a circular horizontal cross
- June 2018, AS Core Pure, Q9 (11 marks): 2 cm 10 cm 4 cm 14 cm 8 cm A H B G C F D E y G F E O x 1 4 Figure 1 Figure 2 A mathematics student is modelling the profile of a glass bottle of water. Figure 1
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