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IGCSE Additional Mathematics 0606 · Topic 11

Permutations and combinations: past paper questions

96 real questionsasked in 9 of the last 10 exam series2020–2026usually: Find, Show, How many, How, Hence solve

Real questions on permutations and combinations

The newest 20 of 96 written questions. Open one to see it on the real paper.

  1. 0606/11 · May/June 2026 · Q12[3]

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

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  2. 0606/12 · May/June 2026 · Q13[4]

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

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  3. 0606/13 · May/June 2026 · Q7[4]

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

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  4. 0606/21 · May/June 2026 · Q6[3]

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

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  5. 0606/22 · May/June 2026 · Q5a[3]

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

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  6. 0606/22 · May/June 2026 · Q5b[3]

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

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  7. 0606/22 · February/March 2026 · Q4a(i)[1]

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

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  8. 0606/22 · February/March 2026 · Q4a(ii)[2]

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

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  9. 0606/02 · Specimen 2025 · Q4a(i)[2]

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

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  10. 0606/02 · Specimen 2025 · Q4a(ii)[2]

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

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  11. 0606/02 · Specimen 2025 · Q4b(i)[2]

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

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  12. 0606/02 · Specimen 2025 · Q4b(ii)[2]

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

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  13. 0606/22 · October/November 2025 · Q5b[2]

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

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  14. 0606/22 · October/November 2025 · Q5c[2]

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

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  15. 0606/22 · February/March 2025 · Q4a(i)[1]

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

    See it on the paper →
  16. 0606/22 · February/March 2025 · Q4a(ii)[3]

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

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  17. 0606/22 · February/March 2025 · Q4b[3]

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

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  18. 0606/22 · October/November 2024 · Q7a_i[1]

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

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  19. 0606/22 · October/November 2024 · Q7a_ii[2]

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

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  20. 0606/22 · October/November 2024 · Q7a_iii[2]

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

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What examiners said

Comprehensive responses • Most candidates obtained the correct answer. Limited responses • A few candidates used combinations instead of permutations.

— Examiner report, February/March 2026, 0606/22 Q4(a)(i) (Cambridge)

Comprehensive responses • Many candidates obtained the correct answer. Limited responses • Some candidates obtained 6720. This needed to be multiplied by 6 in order to get the total number of 6-digit numbers.

— Examiner report, February/March 2026, 0606/22 Q4(a)(ii) (Cambridge)

Most candidates realised that there were two cases to consider and stated the two cases together with the number of different teams that could be formed in each case. A few candidates mistakenly chose to multiply these two answers rather than add them.

— Examiner report, February/March 2025, 0606/22 Q4(a)(ii) (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.

Permutations and combinations — IGCSE Additional Mathematics 0606 past paper questions | AssessPro