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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 408 · 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? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  3. 3.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 1 (c) 2 (d) 3
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  5. 5.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 49 (c) 46 (d) 48
  6. 6.What comes next? 38, 33, 28, 23, 18, ? (a) 12 (b) 14 (c) 13 (d) 8
  7. 7.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 29 (c) 26 (d) 27
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  9. 9.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 63 (c) 61 (d) 62
  10. 10.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 60 (c) 62 (d) 61
  11. 11.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 7 (c) 9 (d) 6
  12. 12.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 19 (c) 20 (d) 12
  13. 13.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 42 (d) 41
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  15. 15.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 19 (c) 16 (d) 18
  16. 16.What comes next? 70, 62, 54, 46, 38, ? (a) 30 (b) 22 (c) 29 (d) 31
  17. 17.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 21 (c) 23 (d) 22
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  19. 19.What comes next? 29, 27, 25, 23, 21, ? (a) 19 (b) 17 (c) 20 (d) 18
  20. 20.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 52 (d) 51
  21. 21.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 29 (b) 30 (c) 22 (d) 23
  22. 22.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 13 (c) 12 (d) 8
  23. 23.What comes next? 26, 38, 50, 62, 74, ? (a) 86 (b) 87 (c) 85 (d) 98
  24. 24.What comes next? 46, 37, 28, 19, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  25. 25.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 3 (c) 2 (d) 4
  26. 26.What comes next? 17, 29, 41, 53, 65, ? (a) 78 (b) 76 (c) 89 (d) 77
  27. 27.What comes next? 20, 30, 40, 50, 60, ? (a) 70 (b) 71 (c) 80 (d) 69
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  29. 29.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 4 (c) 3 (d) 6
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  31. 31.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 34 (d) 31
  32. 32.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 42 (c) 40 (d) 39
  33. 33.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 35 (b) 31 (c) 30 (d) 40
  34. 34.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 30 (c) 29 (d) 23
  35. 35.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  36. 36.What comes next? 12, 24, 36, 48, 60, ? (a) 71 (b) 84 (c) 72 (d) 73
  37. 37.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 4 (b) 10 (c) 5 (d) 9
  38. 38.What comes next? 13, 21, 29, 37, 45, ? (a) 52 (b) 61 (c) 54 (d) 53
  39. 39.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 17 (b) 18 (c) 10 (d) 11
  40. 40.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 37 (d) 38

Answer key

  1. 96
  2. 32
  3. 2
  4. 64
  5. 47
  6. 13
  7. 27
  8. 160
  9. 62
  10. 61
  11. 7
  12. 19
  13. 41
  14. 128
  15. 17
  16. 30
  17. 22
  18. 81
  19. 19
  20. 52
  21. 23
  22. 8
  23. 86
  24. 1
  25. 1
  26. 77
  27. 70
  28. 162
  29. 4
  30. 192
  31. 32
  32. 40
  33. 31
  34. 30
  35. 42
  36. 72
  37. 5
  38. 53
  39. 11
  40. 38

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