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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 342 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 1 (c) 4 (d) 2
  2. 2.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 36 (d) 38
  3. 3.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 34 (c) 33 (d) 36
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  5. 5.What comes next? 26, 38, 50, 62, 74, ? (a) 85 (b) 98 (c) 86 (d) 87
  6. 6.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 59 (c) 53 (d) 52
  7. 7.What comes next? 74, 65, 56, 47, 38, ? (a) 30 (b) 29 (c) 20 (d) 28
  8. 8.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 70 (c) 60 (d) 58
  9. 9.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 46 (c) 43 (d) 44
  10. 10.What comes next? 2, 11, 5, 14, 8, 17, ? (a) 23 (b) 26 (c) 10 (d) 11
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  12. 12.What comes next? 7, 13, 11, 17, 15, 21, ? (a) 23 (b) 27 (c) 18 (d) 19
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  14. 14.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 9 (c) 16 (d) 17
  15. 15.What comes next? 19, 22, 25, 28, 31, ? (a) 33 (b) 37 (c) 34 (d) 35
  16. 16.What comes next? 22, 34, 46, 58, 70, ? (a) 82 (b) 83 (c) 81 (d) 94
  17. 17.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 9 (b) 8 (c) 13 (d) 15
  18. 18.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 3 (c) 6 (d) 5
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  21. 21.What comes next? 21, 33, 45, 57, 69, ? (a) 81 (b) 80 (c) 82 (d) 93
  22. 22.What comes next? 50, 46, 42, 38, 34, ? (a) 31 (b) 29 (c) 30 (d) 26
  23. 23.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 31 (b) 29 (c) 34 (d) 28
  24. 24.What comes next? 11, 17, 23, 29, 35, ? (a) 42 (b) 40 (c) 47 (d) 41
  25. 25.What comes next? 29, 39, 49, 59, 69, ? (a) 80 (b) 89 (c) 78 (d) 79
  26. 26.What comes next? 16, 26, 36, 46, 56, ? (a) 65 (b) 67 (c) 76 (d) 66
  27. 27.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 9 (b) 24 (c) 10 (d) 22
  28. 28.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 44 (d) 47
  29. 29.What comes next? 27, 33, 39, 45, 51, ? (a) 57 (b) 63 (c) 58 (d) 56
  30. 30.What comes next? 30, 38, 46, 54, 62, ? (a) 70 (b) 71 (c) 69 (d) 78
  31. 31.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 26 (b) 17 (c) 18 (d) 29
  32. 32.What comes next? 7, 9, 11, 13, 15, ? (a) 16 (b) 18 (c) 19 (d) 17
  33. 33.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 20 (d) 17
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  35. 35.What comes next? 40, 38, 36, 34, 32, ? (a) 29 (b) 28 (c) 30 (d) 31
  36. 36.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 26 (c) 23 (d) 27
  37. 37.What comes next? 68, 59, 50, 41, 32, ? (a) 14 (b) 22 (c) 24 (d) 23
  38. 38.What comes next? 9, 18, 27, 36, 45, ? (a) 55 (b) 53 (c) 54 (d) 63
  39. 39.What comes next? 11, 18, 25, 32, 39, ? (a) 53 (b) 46 (c) 45 (d) 47
  40. 40.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 6 (d) 5

Answer key

  1. 3
  2. 36
  3. 33
  4. 162
  5. 86
  6. 53
  7. 29
  8. 59
  9. 44
  10. 11
  11. 32
  12. 19
  13. 243
  14. 17
  15. 34
  16. 82
  17. 9
  18. 5
  19. 64
  20. 81
  21. 81
  22. 30
  23. 29
  24. 41
  25. 79
  26. 66
  27. 10
  28. 45
  29. 57
  30. 70
  31. 18
  32. 17
  33. 18
  34. 192
  35. 30
  36. 27
  37. 23
  38. 54
  39. 46
  40. 4

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