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AS & A Level Further Mathematics 9231 · Further Pure Mathematics 1 (for Paper 1) · 1.3

Summation of series: past paper questions

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

Real questions on summation of series

The newest 20 of 165 written questions. Open one to see it on the real paper.

  1. 9231/12 · October/November 2025 · Q1a[3]

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

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  2. 9231/12 · October/November 2025 · Q1b[5]

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

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  3. 9231/12 · October/November 2025 · Q1c[1]

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

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  4. 9231/12 · October/November 2025 · Q7b[3]

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

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  5. 9231/13 · October/November 2025 · Q1a[3]

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

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  6. 9231/13 · October/November 2025 · Q1b[5]

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

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  7. 9231/13 · October/November 2025 · Q1c[1]

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

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  8. 9231/21 · October/November 2025 · Q8a[1]

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

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  9. 9231/22 · October/November 2025 · Q6d[1]

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

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  10. 9231/23 · October/November 2025 · Q2c[2]

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

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  11. 9231/23 · October/November 2025 · Q8a[1]

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

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  12. 9231/11 · May/June 2025 · Q1a[3]

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

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  13. 9231/11 · May/June 2025 · Q1b[4]

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

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  14. 9231/11 · May/June 2025 · Q1c[1]

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

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  15. 9231/12 · May/June 2025 · Q1a[3]

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

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  16. 9231/12 · May/June 2025 · Q1b[4]

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

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  17. 9231/12 · May/June 2025 · Q1c[1]

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

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  18. 9231/13 · May/June 2025 · Q3c[5]

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

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  19. 9231/13 · May/June 2025 · Q4a[2]

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

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  20. 9231/13 · May/June 2025 · Q4b[3]

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

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What examiners said

Good solutions derived the result ( r + 1) − r 2 = 2r + 1 and then showed clearly the summation of both sides to work to the known result. Weaker candidates summed the left-hand side using the n method of differences but struggled to link this to r . r =1

— Examiner report, October/November 2023, 9231/11 Q1(a) (Cambridge)

This was often well done, with the majority of errors being in the algebra or not simplifying the final result.

— Examiner report, October/November 2023, 9231/11 Q1(b) (Cambridge)

This was usually well done, with only a few making errors in expanding the brackets and collecting like terms.

— Examiner report, October/November 2023, 9231/12 Q1(a) (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.

Summation of series — AS & A Level Further Mathematics 9231 past paper questions | AssessPro