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O Level Additional Mathematics 4037 · Topic 5

Simultaneous equations: past paper questions

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

Real questions on simultaneous equations

The newest 20 of 46 written questions. Open one to see it on the real paper.

  1. 4037/23 · October/November 2025 · Q5a[1]

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

    See it on the paper →
  2. 4037/11 · May/June 2025 · Q4b[5]

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

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  3. 4037/22 · May/June 2025 · Q5b[3]

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

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  4. 4037/13 · October/November 2024 · Q1c[1]

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

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  5. 4037/13 · October/November 2024 · Q3[4]

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

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  6. 4037/22 · October/November 2024 · Q1[3]

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

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  7. 4037/22 · October/November 2024 · Q10b[3]

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

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  8. 4037/11 · May/June 2024 · Q9a[5]

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

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  9. 4037/21 · May/June 2024 · Q4b[6]

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

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  10. 4037/12 · October/November 2023 · Q11c[3]

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

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  11. 4037/12 · October/November 2023 · Q11d[1]

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

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  12. 4037/13 · October/November 2023 · Q4a[5]

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

    See it on the paper →
  13. 4037/23 · October/November 2023 · Q3a[5]

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

    See it on the paper →
  14. 4037/11 · May/June 2023 · Q7b[3]

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

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  15. 4037/21 · May/June 2023 · Q3a[2]

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

    See it on the paper →
  16. 4037/12 · October/November 2022 · Q10a[4]

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

    See it on the paper →
  17. 4037/12 · October/November 2022 · Q10b[2]

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

    See it on the paper →
  18. 4037/13 · October/November 2022 · Q3a[3]

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

    See it on the paper →
  19. 4037/22 · October/November 2022 · Q1[5]

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

    See it on the paper →
  20. 4037/11 · May/June 2022 · Q7a[5]

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

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What examiners said

Provided the answers to parts (a) and (b) were equated and then like vectors equated, most candidates were able to obtain at least two method marks. Sign errors and arithmetic slips meant that few correct solutions were seen.

— Examiner report, October/November 2023, 4037/12 Q11(c) (Cambridge)

Very few candidates were able to obtain the accuracy mark associated with this part of the question due to previous errors,

— Examiner report, October/November 2023, 4037/12 Q11(d) (Cambridge)

This question proved challenging, with many responses demonstrating difficulty manipulating factorials. The most common error was to use combinations rather than permutations, even though the notation for permutations was in the question. Simplifying factorials proved challenging and few responses reached the final quadratic. Written working for this question part was often unstructured and challe...

— Examiner report, May/June 2023, 4037/11 Q7(b) (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.

Simultaneous equations — O Level Additional Mathematics 4037 past paper questions | AssessPro