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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 668 · 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? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 13 (c) 14 (d) 5
  2. 2.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 7 (c) 4 (d) 8
  3. 3.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 16 (c) 14 (d) 15
  4. 4.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 24 (b) 22 (c) 26 (d) 21
  5. 5.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  6. 6.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 13 (c) 12 (d) 8
  7. 7.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 9 (b) 11 (c) 13 (d) 8
  8. 8.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 4 (c) 5 (d) 9
  9. 9.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 28 (d) 29
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  11. 11.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 36 (c) 35 (d) 34
  12. 12.What comes next? 20, 28, 36, 44, 52, ? (a) 68 (b) 60 (c) 59 (d) 61
  13. 13.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 8 (c) 9 (d) 1
  14. 14.What comes next? 6, 11, 16, 21, 26, ? (a) 36 (b) 32 (c) 30 (d) 31
  15. 15.What comes next? 56, 49, 42, 35, 28, ? (a) 22 (b) 20 (c) 14 (d) 21
  16. 16.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 53 (c) 44 (d) 46
  17. 17.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 14 (d) 9
  18. 18.What comes next? 29, 39, 49, 59, 69, ? (a) 78 (b) 79 (c) 89 (d) 80
  19. 19.What comes next? 29, 27, 25, 23, 21, ? (a) 20 (b) 18 (c) 17 (d) 19
  20. 20.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 31 (d) 33
  21. 21.What comes next? 11, 9, 7, 5, 3, ? (a) 2 (b) 3 (c) 1 (d) 4
  22. 22.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 16 (b) 18 (c) 21 (d) 15
  23. 23.What comes next? 46, 40, 34, 28, 22, ? (a) 15 (b) 17 (c) 10 (d) 16
  24. 24.What comes next? 11, 20, 12, 21, 13, 22, ? (a) 14 (b) 13 (c) 30 (d) 31
  25. 25.What comes next? 14, 18, 22, 26, 30, ? (a) 34 (b) 33 (c) 35 (d) 38
  26. 26.What comes next? 47, 40, 33, 26, 19, ? (a) 13 (b) 5 (c) 12 (d) 11
  27. 27.What comes next? 60, 53, 46, 39, 32, ? (a) 18 (b) 25 (c) 24 (d) 26
  28. 28.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 42 (d) 40
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  30. 30.What comes next? 30, 41, 52, 63, 74, ? (a) 85 (b) 86 (c) 96 (d) 84
  31. 31.What comes next? 63, 54, 45, 36, 27, ? (a) 19 (b) 18 (c) 9 (d) 17
  32. 32.What comes next? 16, 22, 19, 25, 22, 28, ? (a) 24 (b) 34 (c) 25 (d) 31
  33. 33.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 20 (d) 21
  34. 34.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 16 (b) 20 (c) 18 (d) 15
  35. 35.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 29 (b) 28 (c) 38 (d) 31
  36. 36.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 22 (c) 21 (d) 23
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  39. 39.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 52 (c) 51 (d) 53
  40. 40.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 27 (c) 24 (d) 26

Answer key

  1. 5
  2. 8
  3. 15
  4. 22
  5. 45
  6. 12
  7. 9
  8. 5
  9. 29
  10. 243
  11. 35
  12. 60
  13. 8
  14. 31
  15. 21
  16. 45
  17. 14
  18. 79
  19. 19
  20. 31
  21. 1
  22. 16
  23. 16
  24. 14
  25. 34
  26. 12
  27. 25
  28. 40
  29. 192
  30. 85
  31. 18
  32. 25
  33. 21
  34. 16
  35. 29
  36. 22
  37. 81
  38. 162
  39. 52
  40. 26

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