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AS & A Level Further Mathematics 9231 · Further Mechanics (for Paper 3) · 3.1

Motion of a projectile: past paper questions

95 real questionsasked in 10 of the last 10 exam series2020–2025usually: Find, Show, Use, Determine, Explain

Real questions on motion of a projectile

The newest 20 of 95 written questions. Open one to see it on the real paper.

  1. 9231/31 · October/November 2025 · Q7a[5]

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

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  2. 9231/31 · October/November 2025 · Q7b[3]

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

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  3. 9231/31 · October/November 2025 · Q7c[4]

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

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  4. 9231/32 · October/November 2025 · Q4a[4]

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

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  5. 9231/32 · October/November 2025 · Q4b[3]

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

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  6. 9231/32 · October/November 2025 · Q5a[2]

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

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  7. 9231/33 · October/November 2025 · Q7a[5]

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

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  8. 9231/33 · October/November 2025 · Q7b[3]

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

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  9. 9231/33 · October/November 2025 · Q7c[4]

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

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  10. 9231/31 · May/June 2025 · Q2a[4]

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

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  11. 9231/31 · May/June 2025 · Q2b[2]

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

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  12. 9231/32 · May/June 2025 · Q1b[2]

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

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  13. 9231/32 · May/June 2025 · Q2a[4]

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

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  14. 9231/33 · May/June 2025 · Q3b[4]

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

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  15. 9231/33 · May/June 2025 · Q5a[4]

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

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  16. 9231/33 · May/June 2025 · Q5b[4]

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

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  17. 9231/33 · May/June 2025 · Q7a[1]

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

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  18. 9231/33 · May/June 2025 · Q7b[3]

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

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  19. 9231/33 · May/June 2025 · Q7c[4]

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

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  20. 9231/33 · May/June 2025 · Q7d[3]

    3-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 determine the range and time of flight of both particles and use the fact that the range was the same, whereas the ratio of the times of flight was TP : TQ = 2 : 1 to create two equations that would provide the two components of V . The last step was to use the components to obtain the answer. To answer this question the candidates used a variety...

— Examiner report, October/November 2023, 9231/31 Q5(b) (Cambridge)

To answer this part question the candidates had to realise that the angular velocity ω of the two particles is the same. Those who did, wrote the expressions for ωP and ωQ , equated them, and obtained the correct given answer.

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

This last part question proved particularly challenging. Many candidates did not attempt to answer it. Those who did, often attempted to use the Principle of Conservation of Mechanical Energy. Even though they often did not include all the terms of the Kinetic Energy and Gravitational Potential Energy, they managed to write a dimensionally correct energy equation, therefore scoring at least one ma...

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

Past papers, syllabus and examiner reports © UCLES (Cambridge University Press & Assessment). Questions are matched to topics from the official syllabus. AssessPro is independent and not endorsed by Cambridge.

Motion of a projectile — AS & A Level Further Mathematics 9231 past paper questions | AssessPro