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AS & A Level Further Mathematics 9231 · Further Pure Mathematics 1 (for Paper 1) · 1.4

Matrices: past paper questions

181 real questionsasked in 10 of the last 10 exam series2020–2025usually: Find, Show, Use, State, Give

Real questions on matrices

The newest 20 of 181 written questions. Open one to see it on the real paper.

  1. 9231/11 · October/November 2025 · Q2a[2]

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

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  2. 9231/11 · October/November 2025 · Q2b[2]

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

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  3. 9231/11 · October/November 2025 · Q2c[2]

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

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  4. 9231/11 · October/November 2025 · Q2d[5]

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

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  5. 9231/12 · October/November 2025 · Q4b[6]

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

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  6. 9231/21 · October/November 2025 · Q1[3]

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

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  7. 9231/21 · October/November 2025 · Q6a[1]

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

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  8. 9231/21 · October/November 2025 · Q6b(i)[1]

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

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  9. 9231/21 · October/November 2025 · Q6b(ii)[3]

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

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  10. 9231/21 · October/November 2025 · Q6c[5]

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

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  11. 9231/23 · October/November 2025 · Q1[3]

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

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  12. 9231/23 · October/November 2025 · Q6a[1]

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

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  13. 9231/23 · October/November 2025 · Q6b(i)[1]

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

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  14. 9231/23 · October/November 2025 · Q6b(ii)[3]

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

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  15. 9231/23 · October/November 2025 · Q6c[5]

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

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  16. 9231/11 · May/June 2025 · Q4a[2]

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

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  17. 9231/11 · May/June 2025 · Q4b[7]

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

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  18. 9231/12 · May/June 2025 · Q4a[2]

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

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  19. 9231/12 · May/June 2025 · Q4b[7]

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

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  20. 9231/13 · May/June 2025 · Q1a[4]

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

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What examiners said

The majority of candidates were successful with this question. They understood the relationship between roots and coefficients, and errors were usually arithmetical.

— Examiner report, October/November 2023, 9231/11 Q3(a) (Cambridge)

The most successful method was to write down the equation with each root substituted and sum them.

— Examiner report, October/November 2023, 9231/11 Q3(b) (Cambridge)

Almost all candidates found the determinant correctly. While it was common to see row operations or elimination of a variable, only strong candidates gave a full geometric interpretation by emphasising that there are two non-identical parallel planes with a third plane intersecting both.

— Examiner report, October/November 2023, 9231/21 Q1 (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.

Matrices — AS & A Level Further Mathematics 9231 past paper questions | AssessPro