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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 6 · 40 questions
TalentJR

How to solve it (Look at the gaps): Write the gap between each pair of neighbours (+4, +4, … or −3, −3, …). Same gap? Add it again. Growing gap (+2, +3, +4)? The next gap is one more. Gaps that take turns (+5, −2, +5, −2)? Use the next one in turn. Numbers growing fast? Try × 2 or × 3.

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 16 (b) 17 (c) 30 (d) 29
  2. 2.What comes next? 40, 33, 26, 19, 12, ? (a) 5 (b) 4 (c) 7 (d) 6
  3. 3.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 1 (c) 4 (d) 2
  4. 4.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 6 (c) 5 (d) 3
  5. 5.What comes next? 5, 13, 10, 18, 15, 23, ? (a) 26 (b) 20 (c) 31 (d) 19
  6. 6.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 31 (c) 30 (d) 33
  7. 7.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 43 (d) 41
  8. 8.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 17 (c) 12 (d) 16
  9. 9.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 20 (c) 19 (d) 21
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  11. 11.What comes next? 52, 47, 42, 37, 32, ? (a) 26 (b) 28 (c) 22 (d) 27
  12. 12.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 10 (c) 11 (d) 12
  13. 13.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 29 (c) 28 (d) 27
  14. 14.What comes next? 22, 24, 26, 28, 30, ? (a) 34 (b) 33 (c) 31 (d) 32
  15. 15.What comes next? 10, 19, 11, 20, 12, 21, ? (a) 29 (b) 13 (c) 12 (d) 30
  16. 16.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 81 (c) 82 (d) 80
  17. 17.What comes next? 18, 26, 19, 27, 20, 28, ? (a) 20 (b) 21 (c) 35 (d) 36
  18. 18.What comes next? 4, 7, 10, 13, 16, ? (a) 18 (b) 20 (c) 19 (d) 22
  19. 19.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 48 (c) 49 (d) 47
  20. 20.What comes next? 49, 44, 39, 34, 29, ? (a) 25 (b) 19 (c) 23 (d) 24
  21. 21.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 18 (d) 19
  22. 22.What comes next? 57, 48, 39, 30, 21, ? (a) 13 (b) 11 (c) 12 (d) 3
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  24. 24.What comes next? 46, 39, 32, 25, 18, ? (a) 11 (b) 12 (c) 10 (d) 4
  25. 25.What comes next? 14, 23, 32, 41, 50, ? (a) 58 (b) 68 (c) 60 (d) 59
  26. 26.What comes next? 8, 11, 14, 17, 20, ? (a) 23 (b) 26 (c) 22 (d) 24
  27. 27.What comes next? 19, 24, 29, 34, 39, ? (a) 45 (b) 43 (c) 49 (d) 44
  28. 28.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 18 (c) 17 (d) 22
  29. 29.What comes next? 11, 19, 15, 23, 19, 27, ? (a) 22 (b) 23 (c) 31 (d) 35
  30. 30.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 8 (d) 10
  31. 31.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 31 (c) 29 (d) 30
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  33. 33.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 22 (c) 25 (d) 20
  34. 34.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 15 (b) 18 (c) 16 (d) 21
  35. 35.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 13 (c) 14 (d) 16
  36. 36.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 14 (b) 6 (c) 5 (d) 15
  37. 37.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 39 (d) 40
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  39. 39.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 16 (b) 19 (c) 17 (d) 24
  40. 40.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 2 (c) 5 (d) 3

Answer key

  1. 17
  2. 5
  3. 1
  4. 4
  5. 20
  6. 31
  7. 41
  8. 12
  9. 20
  10. 96
  11. 27
  12. 11
  13. 28
  14. 32
  15. 13
  16. 81
  17. 21
  18. 19
  19. 48
  20. 24
  21. 19
  22. 12
  23. 81
  24. 11
  25. 59
  26. 23
  27. 44
  28. 18
  29. 23
  30. 8
  31. 30
  32. 243
  33. 20
  34. 16
  35. 14
  36. 6
  37. 39
  38. 192
  39. 17
  40. 3

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