plumiArc length and surface area: OCR A‑Level Further Maths questions
OCR 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 5 questions on Arc length and surface area, as a list
- June 2025, Additional Pure Mathematics, Q7 (8 marks): In this question you must show detailed reasoning. 1 3 3 A curve is defined parametrically by x cos t , y sin t , for 0 t . When the curve is = = r G G 2 rotate
- June 2023, Additional Pure Mathematics, Q2 (6 marks): 2 A curve has equation y 1 x , for 0 x G , where both the x- and y-units are in cm. The 1 = + G area of the surface generated when this curve is rotated fully a
- June 2022, Additional Pure Mathematics, Q7 (10 marks): ^ h with respect to t. 3 2 2 7 (a) Differentiate 16 t [1] + 3 y n 2 Let I t 16 t d t for integers n H . 1 = + n 0 n 1 (b) Show that, for n H , ( 3 n 2 ) I 125 3
- November 2020, Additional Pure Mathematics, Q5 (13 marks): A designer intends to manufacture a product using a 3-D printer. The product will take the form of a surface S which must meet a number of design specifications
- June 2019, Additional Pure Mathematics, Q7 (12 marks): a k and a k lie on the curve y 1 1 1 13 3 31 3 7 The points P 2 , Q 2 , x . = + 3 4 x 24 24 The area of the surface generated when arc PQ is rotated completely
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