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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 11 · 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? 17, 25, 33, 41, 49, ? (a) 56 (b) 57 (c) 65 (d) 58
  2. 2.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 3 (c) 7 (d) 9
  3. 3.What comes next? 30, 35, 40, 45, 50, ? (a) 55 (b) 56 (c) 54 (d) 60
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  5. 5.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 3 (c) 10 (d) 9
  6. 6.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 22 (b) 12 (c) 19 (d) 13
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  8. 8.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 26 (d) 25
  9. 9.What comes next? 62, 53, 44, 35, 26, ? (a) 18 (b) 8 (c) 16 (d) 17
  10. 10.What comes next? 16, 26, 36, 46, 56, ? (a) 65 (b) 76 (c) 66 (d) 67
  11. 11.What comes next? 2, 8, 5, 11, 8, 14, ? (a) 11 (b) 20 (c) 17 (d) 10
  12. 12.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 17 (b) 28 (c) 24 (d) 18
  13. 13.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 2 (c) 9 (d) 10
  14. 14.What comes next? 19, 24, 29, 34, 39, ? (a) 49 (b) 45 (c) 43 (d) 44
  15. 15.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 45 (c) 44 (d) 47
  16. 16.What comes next? 3, 11, 19, 27, 35, ? (a) 42 (b) 44 (c) 51 (d) 43
  17. 17.What comes next? 3, 13, 23, 33, 43, ? (a) 53 (b) 52 (c) 63 (d) 54
  18. 18.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 22 (b) 27 (c) 24 (d) 21
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  21. 21.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 83 (c) 95 (d) 82
  22. 22.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 7 (c) 8 (d) 6
  23. 23.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 16 (b) 11 (c) 12 (d) 17
  24. 24.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 78 (c) 80 (d) 79
  25. 25.What comes next? 42, 35, 28, 21, 14, ? (a) 9 (b) 8 (c) 7 (d) 6
  26. 26.What comes next? 52, 45, 38, 31, 24, ? (a) 16 (b) 10 (c) 18 (d) 17
  27. 27.What comes next? 3, 12, 4, 13, 5, 14, ? (a) 23 (b) 5 (c) 6 (d) 22
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  29. 29.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 3 (d) 4
  30. 30.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 44 (c) 46 (d) 45
  31. 31.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 20 (c) 19 (d) 17
  32. 32.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 26 (c) 28 (d) 27
  33. 33.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 31 (b) 36 (c) 28 (d) 29
  34. 34.What comes next? 57, 51, 45, 39, 33, ? (a) 28 (b) 26 (c) 21 (d) 27
  35. 35.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 9 (c) 17 (d) 16
  36. 36.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 31 (c) 34 (d) 33
  37. 37.What comes next? 63, 56, 49, 42, 35, ? (a) 21 (b) 27 (c) 28 (d) 29
  38. 38.What comes next? 21, 31, 41, 51, 61, ? (a) 72 (b) 70 (c) 81 (d) 71
  39. 39.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  40. 40.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 4 (c) 3 (d) 5

Answer key

  1. 57
  2. 8
  3. 55
  4. 160
  5. 10
  6. 13
  7. 64
  8. 25
  9. 17
  10. 66
  11. 11
  12. 18
  13. 9
  14. 44
  15. 45
  16. 43
  17. 53
  18. 22
  19. 128
  20. 243
  21. 83
  22. 7
  23. 12
  24. 79
  25. 7
  26. 17
  27. 6
  28. 96
  29. 2
  30. 45
  31. 18
  32. 26
  33. 29
  34. 27
  35. 17
  36. 32
  37. 28
  38. 71
  39. 36
  40. 4

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