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AS & A Level Further Mathematics 9231 · Further Mechanics (for Paper 3) · 3.4

Hooke's law: past paper questions

54 real questionsasked in 9 of the last 10 exam series2020–2025usually: Find, Show

Real questions on hooke's law

The newest 20 of 54 written questions. Open one to see it on the real paper.

  1. 9231/31 · May/June 2025 · Q5[6]

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

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  2. 9231/31 · October/November 2024 · Q3a[6]

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

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  3. 9231/31 · October/November 2024 · Q3b[2]

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

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  4. 9231/32 · October/November 2024 · Q1[3]

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

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  5. 9231/32 · October/November 2024 · Q2[4]

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

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  6. 9231/33 · October/November 2024 · Q3a[6]

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

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  7. 9231/33 · October/November 2024 · Q3b[2]

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

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  8. 9231/31 · May/June 2024 · Q2a[3]

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

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  9. 9231/31 · May/June 2024 · Q2b[4]

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

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  10. 9231/32 · May/June 2024 · Q2a[3]

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

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  11. 9231/32 · May/June 2024 · Q2b[4]

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

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  12. 9231/33 · May/June 2024 · Q2a[4]

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

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  13. 9231/33 · May/June 2024 · Q2b[2]

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

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  14. 9231/33 · May/June 2024 · Q3a[5]

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

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  15. 9231/33 · May/June 2024 · Q3b[2]

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

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  16. 9231/33 · May/June 2024 · Q4[7]

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

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  17. 9231/33 · May/June 2024 · Q5a[3]

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

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  18. 9231/33 · May/June 2024 · Q5b[4]

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

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  19. 9231/31 · October/November 2023 · Q1a[1]

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

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  20. 9231/31 · October/November 2023 · Q1b[4]

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

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What examiners said

To answer this part question the candidates had to apply the Principle of Conservation of Linear Momentum. Many candidates did it correctly. A typical mistake was to consider that the velocity of particle A before and after the collision had the same direction.

— Examiner report, October/November 2023, 9231/31 Q1(a) (Cambridge)

Many candidates attempted to use the information regarding the Kinetic Energy of particles A and B , however only the stronger candidates realised that particle A had both components, whereas particle B had only the vertical one. Most of the candidates who correctly set up the Kinetic Energy equation, obtained the correct answer, showing good algebraic manipulative skills.

— Examiner report, October/November 2023, 9231/31 Q1(b) (Cambridge)

Many candidates attempted to apply Newton’s Elastic Law, with various degrees of success. A typical mistake was in the signs of the velocities of approach.

— Examiner report, October/November 2023, 9231/31 Q1(c) (Cambridge)

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Hooke's law — AS & A Level Further Mathematics 9231 past paper questions | AssessPro