plumiCentres of mass and moments: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on ME Centres of mass and moments, 2019–2025, with its mark scheme and examiner’s report.
Paper
All papers
Exam
All years
All 14 questions on Centres of mass and moments, as a list
- June 2025, Paper 3 Mechanics, Q3 (1 mark): The diagram shows a uniform lamina made from three identical squares. x y O The coordinates of the centre of the mass of the lamina are (x, y) Which one of the
- June 2025, Paper 3 Mechanics, Q7 (3 marks): The force F = 2 –4 3 acts at the point with coordinates (3, 5, –1) Show that the magnitude of the moment of this force about the origin is k√ 6 where k is a pos
- June 2025, Paper 3 Mechanics, Q10 (8 marks): A uniform semicircular lamina has radius a 10 (a) Show that the centre of mass is a distance 4a 3π from the straight edge of the lamina. [5 marks] 10 (b) The la
- June 2024, Paper 3 Mechanics, Q8 (10 marks): The finite region enclosed by the line y = kx, the x-axis and the line x = 5 is rotated through 360° around the x axis to form a solid cone. 8 (a) (i) Use integ
- June 2023, Paper 3 Mechanics, Q2 (1 mark): The force (3i + 4j) N acts at the point with coordinates (0, 2) The unit vectors i and j are directed along the x-axis and the y-axis respectively. Calculate th
- June 2023, Paper 3 Mechanics, Q3 (1 mark): A uniform disc has mass 6 kg and diameter 8 cm A uniform rectangular lamina, ABCD, has mass 4 kg, width 8 cm and length 20 cm The disc is fixed to the lamina to
- June 2023, Paper 3 Mechanics, Q5 (7 marks): A region bounded by the curve with equation y = 4 − x2 , the x-axis and the y-axis is shown below. O x y The region is rotated through 360° around the x-axis to
- June 2022, Paper 3 Mechanics, Q3 (1 mark): Three particles are attached to a light rod, AB, of length 40 cm The particles are attached at A, B and the midpoint of the rod. The particle at A has mass 5 kg
- June 2022, Paper 3 Mechanics, Q9 (12 marks): Two blocks have square cross sections. One block has mass 9 kg and its cross section has sides of length 20 cm The other block has mass 1 kg and its cross secti
- November 2021, Paper 3 Mechanics, Q2 (1 mark): A force of magnitude 7 N acts at each end of a rod of length 20 cm, forming a couple. The forces act at right angles to the rod, as shown in the diagram below.
- November 2021, Paper 3 Mechanics, Q5 (7 marks): A uniform lamina has the shape of the region enclosed by the curve y = x2 + 1 and the lines x = 0 , x = 4 and y = 0 The diagram below shows the lamina. y x 5 (a
- November 2020, Paper 3 Mechanics, Q1 (1 mark): A rigid rod, AB, has mass 2 kg and length 4 metres. Two particles of masses 5 kg and 3 kg are fixed to A and B respectively to create a composite body, as shown
- November 2020, Paper 3 Mechanics, Q8 (8 marks): A ladder has length 4 metres and mass 20 kg The ladder rests in equilibrium with one end on a horizontal surface and the ladder resting on the top of a vertical
- June 2019, Paper 3 Mechanics, Q5 (11 marks): The triangular region shown below is rotated through 360° around the x-axis, to form a solid cone. x y The coordinates of the vertices of the triangle are (0, 0
Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every AQA A-Level Further Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.