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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 1 · 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? 15, 18, 21, 24, 27, ? (a) 31 (b) 33 (c) 30 (d) 29
  2. 2.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 58 (c) 59 (d) 57
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  4. 4.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 26 (b) 23 (c) 24 (d) 29
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  6. 6.What comes next? 24, 33, 42, 51, 60, ? (a) 70 (b) 69 (c) 68 (d) 78
  7. 7.What comes next? 15, 13, 11, 9, 7, ? (a) 5 (b) 3 (c) 4 (d) 6
  8. 8.What comes next? 14, 17, 20, 23, 26, ? (a) 28 (b) 32 (c) 29 (d) 30
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  10. 10.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 27 (b) 21 (c) 25 (d) 20
  11. 11.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 25 (c) 27 (d) 26
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  13. 13.What comes next? 33, 30, 27, 24, 21, ? (a) 18 (b) 15 (c) 19 (d) 17
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  17. 17.What comes next? 7, 13, 19, 25, 31, ? (a) 36 (b) 38 (c) 37 (d) 43
  18. 18.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 1 (d) 7
  19. 19.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 43 (c) 42 (d) 44
  20. 20.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 36 (c) 32 (d) 33
  21. 21.What comes next? 38, 33, 28, 23, 18, ? (a) 12 (b) 8 (c) 14 (d) 13
  22. 22.What comes next? 2, 12, 22, 32, 42, ? (a) 52 (b) 53 (c) 51 (d) 62
  23. 23.What comes next? 27, 38, 49, 60, 71, ? (a) 83 (b) 82 (c) 81 (d) 93
  24. 24.What comes next? 16, 23, 17, 24, 18, 25, ? (a) 31 (b) 18 (c) 19 (d) 32
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  26. 26.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 7 (c) 6 (d) 4
  27. 27.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 45 (c) 42 (d) 43
  28. 28.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 11 (b) 10 (c) 17 (d) 18
  29. 29.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 49 (c) 50 (d) 57
  30. 30.What comes next? 3, 5, 7, 9, 11, ? (a) 15 (b) 14 (c) 12 (d) 13
  31. 31.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 30 (c) 29 (d) 28
  32. 32.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 33 (c) 31 (d) 32
  33. 33.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 29 (d) 30
  34. 34.What comes next? 29, 41, 53, 65, 77, ? (a) 90 (b) 89 (c) 88 (d) 101
  35. 35.What comes next? 20, 31, 42, 53, 64, ? (a) 74 (b) 75 (c) 86 (d) 76
  36. 36.What comes next? 28, 39, 50, 61, 72, ? (a) 83 (b) 82 (c) 94 (d) 84
  37. 37.What comes next? 3, 11, 8, 16, 13, 21, ? (a) 24 (b) 18 (c) 29 (d) 17
  38. 38.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 35 (c) 37 (d) 38
  39. 39.What comes next? 10, 16, 22, 28, 34, ? (a) 46 (b) 39 (c) 41 (d) 40
  40. 40.What comes next? 11, 18, 13, 20, 15, 22, ? (a) 17 (b) 29 (c) 27 (d) 16

Answer key

  1. 30
  2. 58
  3. 160
  4. 24
  5. 162
  6. 69
  7. 5
  8. 29
  9. 96
  10. 21
  11. 26
  12. 192
  13. 18
  14. 64
  15. 81
  16. 32
  17. 37
  18. 6
  19. 43
  20. 33
  21. 13
  22. 52
  23. 82
  24. 19
  25. 243
  26. 6
  27. 43
  28. 11
  29. 50
  30. 13
  31. 28
  32. 32
  33. 28
  34. 89
  35. 75
  36. 83
  37. 18
  38. 36
  39. 40
  40. 17

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