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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 8 · 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? 29, 40, 51, 62, 73, ? (a) 84 (b) 83 (c) 95 (d) 85
  2. 2.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 59 (c) 57 (d) 58
  3. 3.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 4 (c) 7 (d) 5
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  5. 5.What comes next? 23, 32, 41, 50, 59, ? (a) 69 (b) 77 (c) 68 (d) 67
  6. 6.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 53 (c) 54 (d) 52
  7. 7.What comes next? 9, 13, 17, 21, 25, ? (a) 28 (b) 33 (c) 30 (d) 29
  8. 8.What comes next? 58, 52, 46, 40, 34, ? (a) 22 (b) 29 (c) 27 (d) 28
  9. 9.What comes next? 8, 19, 30, 41, 52, ? (a) 74 (b) 64 (c) 63 (d) 62
  10. 10.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 35 (b) 37 (c) 34 (d) 44
  11. 11.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 17 (d) 19
  12. 12.What comes next? 41, 37, 33, 29, 25, ? (a) 22 (b) 17 (c) 21 (d) 20
  13. 13.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 21 (b) 16 (c) 19 (d) 17
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  15. 15.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 30 (b) 31 (c) 22 (d) 21
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  17. 17.What comes next? 6, 15, 24, 33, 42, ? (a) 52 (b) 60 (c) 51 (d) 50
  18. 18.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 8 (c) 9 (d) 10
  19. 19.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 6 (c) 4 (d) 5
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  21. 21.What comes next? 21, 32, 43, 54, 65, ? (a) 87 (b) 77 (c) 75 (d) 76
  22. 22.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 37 (d) 38
  23. 23.What comes next? 21, 24, 27, 30, 33, ? (a) 36 (b) 39 (c) 35 (d) 37
  24. 24.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 78 (c) 71 (d) 70
  25. 25.What comes next? 4, 7, 10, 13, 16, ? (a) 19 (b) 18 (c) 20 (d) 22
  26. 26.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 43 (c) 40 (d) 39
  27. 27.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 28 (b) 24 (c) 18 (d) 17
  28. 28.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 15 (c) 16 (d) 14
  29. 29.What comes next? 15, 24, 23, 32, 31, 40, ? (a) 41 (b) 49 (c) 39 (d) 38
  30. 30.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 36 (c) 39 (d) 38
  31. 31.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 20 (c) 21 (d) 18
  32. 32.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 22 (c) 20 (d) 25
  33. 33.What comes next? 30, 36, 42, 48, 54, ? (a) 61 (b) 59 (c) 66 (d) 60
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  38. 38.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 34 (d) 33
  39. 39.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 26 (c) 24 (d) 25
  40. 40.What comes next? 17, 22, 21, 26, 25, 30, ? (a) 35 (b) 31 (c) 29 (d) 28

Answer key

  1. 84
  2. 58
  3. 5
  4. 162
  5. 68
  6. 53
  7. 29
  8. 28
  9. 63
  10. 35
  11. 17
  12. 21
  13. 17
  14. 81
  15. 22
  16. 128
  17. 51
  18. 9
  19. 4
  20. 64
  21. 76
  22. 38
  23. 36
  24. 70
  25. 19
  26. 40
  27. 18
  28. 16
  29. 39
  30. 37
  31. 19
  32. 20
  33. 60
  34. 96
  35. 192
  36. 243
  37. 32
  38. 34
  39. 25
  40. 29

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