plumiMoments and centres of mass: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 6.3 Moments and centres of mass, 2018–2025, with its mark scheme and examiner’s report.
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All 9 questions on Moments and centres of mass, as a list
- Summer 2025, Unit 6, Q3 (11 marks): 3. The diagram below shows a sign which is made from uniform laminae. Quadrants ABH and CDE, centred at A and D respectively, are removed from a rectangular lam
- Summer 2025, Unit 6, Q6 (15 marks): 6. (a) The diagram below shows a uniform solid right circular cone of height h and base radius r. 1 2 3 r h You are given that the volume of the cone is . h r
- Summer 2024, Unit 6, Q3 (13 marks): 3. ACB is the diameter of a semi-circular lamina of radius 2a and centre C. Another semi-circular lamina, having AC as its diameter, is added to form a uniform
- Summer 2024, Unit 6, Q6 (14 marks): The region R, shown in the diagram below, is bounded by the coordinate axes and the curve 6. a 2 2 , y b x b where a, b are constants. y a R x 0 b The regio
- Summer 2023, Unit 6, Q2 (7 marks): 2. You are given that the centre of mass of a uniform solid cone of height h and base radius r is 1 at a height of h above its base. 4 The diagram shows a solid
- Summer 2023, Unit 6, Q4 (15 marks): 4. The diagram shows three light rods AB, BC and CA rigidly joined together so that ABC is a $ right-angled triangle with AB = 45 cm, AC = 28 cm and CAB = 90°.
- Summer 2022, Unit 6, Q3 (14 marks): 3. The diagram below shows a lamina ABCDE which is made of a uniform material. It consists of a rectangle ABDE with AB = 6a and AE = 8a, together with an isosce
- Summer 2019, Unit 6, Q2 (14 marks): 2. A metal sign is formed by removing triangle BCD from a rectangular lamina ACEF made of uniform material, and adding a quarter circle XYZ, made of the same un
- Summer 2019, Unit 6, Q5 (10 marks): 5. (a) Show, by integration, that the centre of mass of a uniform solid hemisphere of radius r is 3r at a distance of from the plane face. [4] 8 (b) The diagram
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