plumiVolumes of revolution: OCR A‑Level Further Maths questions
OCR 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 5 questions on Volumes of revolution, as a list
- June 2025, Pure Core 1, Q3 (6 marks): 3 The region R1 is bounded by the curve y , the line x k and the coordinate axes, as = = 2 25 x - shown in Fig. 1. Fig. 1 80 y = y 2 x 25 - R1 x O x=k (a) In th
- June 2024, Pure Core 2, Q7 (10 marks): bx + x 7 (a) Express 17 coshx - 15 sinhx in the form e - ( a e c ) where a, b and c are integers to be determined. [3] 1 A function is defined by ( ) f x . The
- June 2023, Pure Core 2, Q4 (4 marks): In this question you must show detailed reasoning. 1 The region R is bounded by the curve with equation y , the x-axis and the lines = 2 x x 3 3 1 - + 1 with eq
- June 2022, Pure Core 1, Q1 (6 marks): In this question you must show detailed reasoning. 41 (a) Show that cosh ( 2 ln 3 ) . [2] = 9 The region R is bounded by the curve with equation y sinh x , the
- November 2021, Pure Core 1, Q6 (3 marks): O is the origin of a coordinate system whose units are cm. The points A, B, C and D have coordinates (1, 0), (1, 4), (6, 9) and (0, 9) respectively. ^ h 2 2 The
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