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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 172 · 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? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 20 (c) 22 (d) 18
  2. 2.What comes next? 28, 34, 40, 46, 52, ? (a) 57 (b) 58 (c) 59 (d) 64
  3. 3.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 4 (c) 3 (d) 6
  4. 4.What comes next? 10, 16, 22, 28, 34, ? (a) 40 (b) 41 (c) 39 (d) 46
  5. 5.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 18 (b) 22 (c) 17 (d) 23
  6. 6.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 8 (c) 7 (d) 6
  7. 7.What comes next? 57, 50, 43, 36, 29, ? (a) 15 (b) 22 (c) 21 (d) 23
  8. 8.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 11 (c) 14 (d) 12
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  10. 10.What comes next? 63, 54, 45, 36, 27, ? (a) 19 (b) 18 (c) 17 (d) 9
  11. 11.What comes next? 13, 18, 23, 28, 33, ? (a) 43 (b) 39 (c) 37 (d) 38
  12. 12.What comes next? 48, 44, 40, 36, 32, ? (a) 27 (b) 29 (c) 24 (d) 28
  13. 13.What comes next? 26, 31, 36, 41, 46, ? (a) 50 (b) 51 (c) 56 (d) 52
  14. 14.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 6 (c) 3 (d) 4
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  16. 16.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  17. 17.What comes next? 45, 41, 37, 33, 29, ? (a) 25 (b) 26 (c) 24 (d) 21
  18. 18.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 32 (c) 30 (d) 31
  19. 19.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 13 (c) 6 (d) 7
  20. 20.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 68 (c) 59 (d) 58
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  22. 22.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 17 (b) 10 (c) 16 (d) 9
  23. 23.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 17 (c) 19 (d) 12
  24. 24.What comes next? 9, 17, 16, 24, 23, 31, ? (a) 32 (b) 39 (c) 29 (d) 30
  25. 25.What comes next? 16, 27, 38, 49, 60, ? (a) 72 (b) 82 (c) 71 (d) 70
  26. 26.What comes next? 34, 32, 30, 28, 26, ? (a) 24 (b) 22 (c) 25 (d) 23
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  28. 28.What comes next? 29, 37, 45, 53, 61, ? (a) 69 (b) 77 (c) 70 (d) 68
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  30. 30.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 15 (c) 16 (d) 14
  31. 31.What comes next? 11, 17, 23, 29, 35, ? (a) 40 (b) 42 (c) 47 (d) 41
  32. 32.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 23 (c) 24 (d) 22
  33. 33.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 9 (c) 16 (d) 8
  34. 34.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 3 (c) 4 (d) 5
  35. 35.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 51 (c) 45 (d) 43
  36. 36.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 34 (c) 33 (d) 35
  37. 37.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 31 (b) 32 (c) 22 (d) 23
  38. 38.What comes next? 17, 19, 21, 23, 25, ? (a) 27 (b) 26 (c) 28 (d) 29
  39. 39.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 3 (c) 6 (d) 5
  40. 40.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 21 (b) 19 (c) 11 (d) 10

Answer key

  1. 18
  2. 58
  3. 4
  4. 40
  5. 18
  6. 6
  7. 22
  8. 13
  9. 32
  10. 18
  11. 38
  12. 28
  13. 51
  14. 4
  15. 162
  16. 44
  17. 25
  18. 30
  19. 7
  20. 58
  21. 96
  22. 10
  23. 13
  24. 30
  25. 71
  26. 24
  27. 81
  28. 69
  29. 243
  30. 16
  31. 41
  32. 23
  33. 9
  34. 3
  35. 44
  36. 33
  37. 23
  38. 27
  39. 4
  40. 11

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