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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 165 · 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? 21, 17, 13, 9, 5, ? (a) 4 (b) 1 (c) 2 (d) 3
  2. 2.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 20 (b) 21 (c) 25 (d) 29
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  4. 4.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 23 (c) 22 (d) 24
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  6. 6.What comes next? 15, 22, 16, 23, 17, 24, ? (a) 30 (b) 17 (c) 18 (d) 31
  7. 7.What comes next? 19, 29, 39, 49, 59, ? (a) 70 (b) 69 (c) 79 (d) 68
  8. 8.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 43 (d) 45
  9. 9.What comes next? 20, 29, 26, 35, 32, 41, ? (a) 44 (b) 37 (c) 50 (d) 38
  10. 10.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  11. 11.What comes next? 16, 21, 26, 31, 36, ? (a) 40 (b) 42 (c) 41 (d) 46
  12. 12.What comes next? 12, 14, 16, 18, 20, ? (a) 22 (b) 24 (c) 23 (d) 21
  13. 13.What comes next? 8, 20, 32, 44, 56, ? (a) 80 (b) 69 (c) 68 (d) 67
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  15. 15.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 39 (c) 40 (d) 41
  16. 16.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 25 (c) 24 (d) 22
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  19. 19.What comes next? 10, 15, 13, 18, 16, 21, ? (a) 23 (b) 18 (c) 26 (d) 19
  20. 20.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 46 (c) 44 (d) 45
  21. 21.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 23 (c) 22 (d) 24
  22. 22.What comes next? 64, 57, 50, 43, 36, ? (a) 30 (b) 28 (c) 22 (d) 29
  23. 23.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 10 (c) 9 (d) 8
  24. 24.What comes next? 18, 29, 40, 51, 62, ? (a) 84 (b) 72 (c) 73 (d) 74
  25. 25.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 46 (c) 45 (d) 47
  26. 26.What comes next? 30, 36, 42, 48, 54, ? (a) 60 (b) 66 (c) 61 (d) 59
  27. 27.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 30 (c) 28 (d) 27
  28. 28.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 45 (d) 47
  29. 29.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 23 (c) 22 (d) 21
  30. 30.What comes next? 9, 18, 17, 26, 25, 34, ? (a) 33 (b) 35 (c) 43 (d) 32
  31. 31.What comes next? 13, 19, 17, 23, 21, 27, ? (a) 24 (b) 25 (c) 33 (d) 29
  32. 32.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 18 (b) 29 (c) 19 (d) 23
  33. 33.What comes next? 22, 27, 32, 37, 42, ? (a) 46 (b) 48 (c) 47 (d) 52
  34. 34.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 18 (c) 19 (d) 17
  35. 35.What comes next? 59, 53, 47, 41, 35, ? (a) 23 (b) 29 (c) 30 (d) 28
  36. 36.What comes next? 27, 39, 51, 63, 75, ? (a) 88 (b) 99 (c) 87 (d) 86
  37. 37.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 35 (b) 22 (c) 33 (d) 23
  38. 38.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 12 (c) 11 (d) 10
  39. 39.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 41 (d) 43
  40. 40.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 27 (d) 25

Answer key

  1. 1
  2. 21
  3. 32
  4. 23
  5. 96
  6. 18
  7. 69
  8. 44
  9. 38
  10. 39
  11. 41
  12. 22
  13. 68
  14. 192
  15. 40
  16. 23
  17. 243
  18. 162
  19. 19
  20. 45
  21. 23
  22. 29
  23. 9
  24. 73
  25. 46
  26. 60
  27. 28
  28. 45
  29. 22
  30. 33
  31. 25
  32. 19
  33. 47
  34. 18
  35. 29
  36. 87
  37. 23
  38. 11
  39. 42
  40. 25

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