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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 2 · 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? 19, 22, 21, 24, 23, 26, ? (a) 29 (b) 24 (c) 27 (d) 25
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 97 (d) 120
  4. 4.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 22 (b) 24 (c) 26 (d) 21
  5. 5.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 89 (c) 88 (d) 87
  6. 6.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 26 (c) 24 (d) 23
  7. 7.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.What comes next? 2, 8, 14, 20, 26, ? (a) 32 (b) 38 (c) 33 (d) 31
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  10. 10.What comes next? 21, 27, 33, 39, 45, ? (a) 51 (b) 57 (c) 52 (d) 50
  11. 11.What comes next? 19, 22, 25, 28, 31, ? (a) 33 (b) 34 (c) 37 (d) 35
  12. 12.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 38 (c) 40 (d) 42
  13. 13.What comes next? 7, 13, 19, 25, 31, ? (a) 43 (b) 38 (c) 37 (d) 36
  14. 14.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 8 (c) 17 (d) 18
  15. 15.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 8 (c) 9 (d) 7
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  17. 17.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 11 (c) 6 (d) 12
  18. 18.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 25 (c) 22 (d) 24
  19. 19.What comes next? 19, 26, 33, 40, 47, ? (a) 61 (b) 55 (c) 53 (d) 54
  20. 20.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 59 (c) 60 (d) 61
  21. 21.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 29 (d) 28
  22. 22.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 62 (c) 54 (d) 53
  23. 23.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 7 (d) 8
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  25. 25.What comes next? 27, 33, 39, 45, 51, ? (a) 57 (b) 58 (c) 63 (d) 56
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  27. 27.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 35 (d) 36
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  29. 29.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 34 (d) 36
  30. 30.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 62 (c) 61 (d) 60
  31. 31.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 21 (b) 26 (c) 22 (d) 29
  32. 32.What comes next? 60, 53, 46, 39, 32, ? (a) 25 (b) 26 (c) 24 (d) 18
  33. 33.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 32 (c) 33 (d) 34
  34. 34.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 61 (c) 60 (d) 62
  35. 35.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 12 (b) 11 (c) 18 (d) 19
  36. 36.What comes next? 24, 34, 44, 54, 64, ? (a) 75 (b) 74 (c) 73 (d) 84
  37. 37.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 21 (c) 27 (d) 22
  38. 38.What comes next? 22, 31, 40, 49, 58, ? (a) 68 (b) 76 (c) 66 (d) 67
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  40. 40.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 29 (d) 30

Answer key

  1. 25
  2. 160
  3. 96
  4. 22
  5. 88
  6. 24
  7. 1
  8. 32
  9. 243
  10. 51
  11. 34
  12. 39
  13. 37
  14. 17
  15. 9
  16. 192
  17. 11
  18. 23
  19. 54
  20. 60
  21. 27
  22. 53
  23. 6
  24. 81
  25. 57
  26. 128
  27. 34
  28. 162
  29. 34
  30. 61
  31. 22
  32. 25
  33. 33
  34. 61
  35. 12
  36. 74
  37. 22
  38. 67
  39. 64
  40. 28

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