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AS & A Level Further Mathematics 9231 · Further Mechanics (for Paper 3) · 3.2

Equilibrium of a rigid body: past paper questions

43 real questionsasked in 8 of the last 10 exam series2020–2025usually: Find, Show

Real questions on equilibrium of a rigid body

The newest 20 of 43 written questions. Open one to see it on the real paper.

  1. 9231/31 · October/November 2025 · Q5a[3]

    3-mark question — its maths and diagrams are best seen on the paper.

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  2. 9231/31 · October/November 2025 · Q5b[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  3. 9231/31 · October/November 2025 · Q5c[2]

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  4. 9231/32 · October/November 2025 · Q1[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  5. 9231/32 · October/November 2025 · Q2a[3]

    3-mark question — its maths and diagrams are best seen on the paper.

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  6. 9231/32 · October/November 2025 · Q2b[3]

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  7. 9231/32 · October/November 2025 · Q3a[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  8. 9231/32 · October/November 2025 · Q3b[2]

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  9. 9231/33 · October/November 2025 · Q5a[3]

    3-mark question — its maths and diagrams are best seen on the paper.

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  10. 9231/33 · October/November 2025 · Q5b[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  11. 9231/33 · October/November 2025 · Q5c[2]

    2-mark question — its maths and diagrams are best seen on the paper.

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  12. 9231/31 · May/June 2025 · Q3a[2]

    2-mark question — its maths and diagrams are best seen on the paper.

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  13. 9231/31 · May/June 2025 · Q4a[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  14. 9231/31 · May/June 2025 · Q4b[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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  15. 9231/31 · May/June 2025 · Q7a[5]

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  16. 9231/31 · May/June 2025 · Q7b[1]

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  17. 9231/31 · May/June 2025 · Q7c[4]

    4-mark “Find” question — its maths and diagrams are best seen on the paper.

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  18. 9231/32 · May/June 2025 · Q4a[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  19. 9231/32 · May/June 2025 · Q4b[3]

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  20. 9231/31 · October/November 2024 · Q6a[3]

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What examiners said

This question proved challenging for many candidates, who nevertheless often scored the marks allocated to the equilibrium of forces, including the use of the equation F = µ R . Stronger candidates took moments about point P and quickly obtained the correct answer, often in an elegant way. In questions where many forces are involved candidates are encouraged to examine the diagram carefully before...

— Examiner report, October/November 2023, 9231/31 Q3 (Cambridge)

This part question required the candidates to consider the equilibrium of forces at P and Q , combine the two equations to eliminate the tension, and solve the resulting quadratic equation. Stronger candidates had no problems doing all these steps, often in a very neat manner. A common mistake among the candidates who applied the correct approach (equilibrium of forces) was in the signs of the ten...

— Examiner report, October/November 2023, 9231/31 Q6(b) (Cambridge)

In answering this part question many candidates correctly applied the Principle of the Conservation of Energy, showing a good understanding of this topic. To answer this part question, they also had to write the equation for the equilibrium of forces at points A and B . While the former equation did not create problems to many candidates, only the stronger ones read the text carefully and realised...

— Examiner report, October/November 2023, 9231/32 Q5(a) (Cambridge)

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Equilibrium of a rigid body — AS & A Level Further Mathematics 9231 past paper questions | AssessPro