plumiIntegration as the limit of a sum: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 8.5 Integration as the limit of a sum, 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 4 questions on Integration as the limit of a sum, as a list
- June 2023, Paper 3, Q12 (3 marks): With the aid of a suitable diagram, show that the three triangles referred to in line 26 have the areas given in line 27. [3]
- June 2022, Paper 2, Q14 (8 marks): 14 Fig. 14.1 shows the curve with equation y , together with 5 rectangles of equal width. = 2 1 x + y 1.2 A B 1.0 C 0.8 D E 0.6 F 0.4 0.2 x 0 0.1 0.2 0.3 0.4 0.
- November 2020, Paper 1, Q8 (7 marks): Fig. 8.1 shows the cross-section of a straight driveway 4 m wide made from tarmac. 4m Fig. 8.1 0 2 . The height h m of the cross-section at a displacement x m f
- June 2019, Paper 3, Q14 (4 marks): h / 2 2 14 (a) Express lim ( h y ) y as an integral. [1] - d y 0 " d 0 2 2 (b) Hence show that V r h , as given in line 41. [3] = r 3
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