Set 4 — 2026 past papers

  1. 4.01: Permutations and committee selections0606/22/F/M/26 — Question 4 · 6 marks
  2. 4.02: Binomial expansion and constant term0606/22/F/M/26 — Question 11 · 7 marks
  3. 4.03: Combination equation0606/11/M/J/26 — Question 12 · 3 marks
  4. 4.04: Combination identity0606/12/M/J/26 — Question 13 · 4 marks
  5. 4.05: Combination equation0606/13/M/J/26 — Question 7 · 4 marks
  6. 4.06: Five-digit numbers0606/21/M/J/26 — Question 6 · 3 marks
  7. 4.07: Independent term in a product expansion0606/21/M/J/26 — Question 7 · 6 marks
  8. 4.08: Counting numbers and committees0606/22/M/J/26 — Question 5 · 6 marks
  9. 4.09: Product binomial expansion0606/22/M/J/26 — Question 6 · 8 marks
  10. 4.10: Coefficient from binomial products0606/23/M/J/26 — Question 3 · 5 marks
  11. 4.11: Arrangements and selections0606/23/M/J/26 — Question 8 · 6 marks

Set 3 — 2021–2025 past papers

  1. 3.37: 6-character passwords from letters, numbers and symbols0606/22/O/N/25 — Question 5 · 5 marks
  2. 3.41: Counting 6-digit numbers from 9 digits0606/23/O/N/25 — Question 5 · 6 marks
  3. 3.21: 5-digit numbers and red/brown hair arrangements0606/23/M/J/25 — Question 6 · 6 marks
  4. 3.47: Team selections and even 6-digit numbers0606/22/F/M/25 — Question 4 · 7 marks
  5. 3.33: Groups from a class and 5-character codes0606/21/O/N/24 — Question 10 · 6 marks
  6. 3.17: 6-digit numbers divisible by 5 and a combinations equation0606/13/M/J/24 — Question 7 · 6 marks
  7. 3.18: Arrangements of POLYMATHS0606/22/M/J/24 — Question 7 · 4 marks
  8. 3.38: Forming 5-digit numbers and mixed teams0606/12/F/M/24 — Question 8 · 7 marks
  9. 3.29: 6-digit numbers and a mixed committee0606/12/O/N/23 — Question 7 · 8 marks
  10. 3.45: Team selection and a product of permutations0606/11/M/J/23 — Question 7 · 7 marks
  11. 3.16: Gardening committee, passcodes and combinations identities0606/23/M/J/23 — Question 5 · 10 marks
  12. 3.6: 5-character passwords and a combinations equation0606/12/F/M/23 — Question 7 · 6 marks
  13. 3.43: Find nn from a combinations identity0606/11/O/N/22 — Question 10 · 3 marks
  14. 3.42: Team selection with three brothers together0606/12/O/N/22 — Question 6 · 3 marks
  15. 3.39: Password counting with letters, digits and symbols0606/13/O/N/22 — Question 9 · 4 marks
  16. 3.28: 5-digit codes less than 60 0000606/21/O/N/22 — Question 11 · 6 marks
  17. 3.40: Binomial coefficient relation0606/23/O/N/22 — Question 7 · 5 marks
  18. 3.48: Line arrangements of girls and boys0606/22/F/M/22 — Question 3 · 5 marks
  19. 3.24: Even 5-digit numbers greater than 50 0000606/12/O/N/21 — Question 8 · 8 marks
  20. 3.25: Odd 5-digit numbers greater than 70 0000606/13/O/N/21 — Question 6 · 7 marks
  21. 3.44: Choosing 5 people with restrictions0606/21/O/N/21 — Question 8 · 7 marks
  22. 3.46: Digit arrangements and a binomial coefficient equation0606/11/M/J/21 — Question 6 · 9 marks
  23. 3.9: Six-character passwords and a combinations relation0606/12/M/J/21 — Question 7 · 8 marks
  24. 3.10: Committee selection and a permutations equation0606/13/M/J/21 — Question 7 · 8 marks
  25. 3.1: Photograph arrangements and competition selections0606/22/F/M/21 — Question 8 · 9 marks

Set 2

  1. 2.19: 4-digit codes from digits 1–90606/23/O/N/20 — Question 6 · 6 marks
  2. 2.5: Exam question selection and digit arrangement0606/21/M/J/20 — Question 4 · 4 marks
  3. 2.17: 5-digit numbers and team with women0606/23/M/J/20 — Question 4 · 6 marks
  4. 2.13: 5-digit codes from mixed character sets0606/22/O/N/19 — Question 3 · 6 marks
  5. 2.4: Television arrangements and group selection0606/21/M/J/19 — Question 9 · 6 marks
  6. 2.7: 5-digit codes with digit restrictions0606/21/O/N/18 — Question 6 · 6 marks
  7. 2.12: Alternating character codes and netball team0606/22/O/N/18 — Question 6 · 6 marks
  8. 2.18: Cricket team with twins0606/23/O/N/18 — Question 7 · 7 marks
  9. 2.3: Password selection from mixed characters0606/21/M/J/18 — Question 3 · 5 marks
  10. 2.9: Drama parts and singer selection0606/22/M/J/18 — Question 5 · 7 marks
  11. 2.16: Password selection from mixed characters0606/23/M/J/18 — Question 3 · 5 marks
  12. 2.11: Holiday book selection0606/22/O/N/17 — Question 5 · 7 marks
  13. 2.2: Captain selection and teacher teams0606/21/M/J/17 — Question 8 · 7 marks
  14. 2.15: Divisible 5-digit numbers and committee selection0606/23/M/J/17 — Question 5 · 6 marks
  15. 2.6: Coldicott family tennis teams0606/21/O/N/16 — Question 11 · 7 marks
  16. 2.10: Coldicott family tennis teams0606/22/O/N/16 — Question 11 · 7 marks
  17. 2.1: Even 5-digit numbers and seating arrangements0606/21/M/J/16 — Question 10 · 8 marks
  18. 2.8: Team with more women than men0606/22/M/J/16 — Question 3 · 3 marks
  19. 2.14: Even 5-digit numbers and seating arrangements0606/23/M/J/16 — Question 10 · 8 marks

Set 1

  1. 1.3: 4-digit numbers and medical committee0606/11/O/N/20 — Question 5 · 7 marks
  2. 1.7: Grouping people and 4-digit numbers0606/12/O/N/20 — Question 8 · 8 marks
  3. 1.6: 5-digit numbers and combination equation0606/12/M/J/20 — Question 4 · 10 marks
  4. 1.2: Book arrangements and quiz team selection0606/11/O/N/19 — Question 11 · 11 marks
  5. 1.11: 5-digit codes and team selection0606/13/O/N/19 — Question 7 · 9 marks
  6. 1.5: Book arrangements and sports team selection0606/12/M/J/19 — Question 6 · 10 marks
  7. 1.8: Trophy arrangements and team selection0606/13/M/J/19 — Question 9 · 11 marks
  8. 1.1: Concert tickets and 6-digit briefcase codes0606/11/O/N/17 — Question 8 · 12 marks
  9. 1.10: 6-digit numbers and party invitations0606/13/O/N/17 — Question 9 · 9 marks
  10. 1.4: 5-digit numbers and birthday party invitations0606/12/M/J/17 — Question 8 · 11 marks
  11. 1.9: Drama class teams and computer passwords0606/13/O/N/16 — Question 9 · 11 marks