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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 414 · 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? 14, 20, 18, 24, 22, 28, ? (a) 34 (b) 25 (c) 26 (d) 30
  2. 2.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 41 (c) 42 (d) 43
  3. 3.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 33 (c) 32 (d) 34
  4. 4.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 22 (d) 21
  5. 5.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 6 (c) 3 (d) 7
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  7. 7.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 25 (c) 21 (d) 27
  8. 8.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 10 (b) 11 (c) 17 (d) 15
  9. 9.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  10. 10.What comes next? 14, 23, 21, 30, 28, 37, ? (a) 46 (b) 35 (c) 39 (d) 34
  11. 11.What comes next? 40, 36, 32, 28, 24, ? (a) 19 (b) 16 (c) 20 (d) 21
  12. 12.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 40 (b) 31 (c) 36 (d) 32
  13. 13.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 32 (d) 33
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  15. 15.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 4 (c) 3 (d) 2
  16. 16.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 81 (c) 93 (d) 80
  17. 17.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 240 (d) 193
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  19. 19.What comes next? 30, 41, 52, 63, 74, ? (a) 84 (b) 96 (c) 86 (d) 85
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  21. 21.What comes next? 11, 20, 29, 38, 47, ? (a) 56 (b) 55 (c) 65 (d) 57
  22. 22.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 13 (c) 15 (d) 12
  23. 23.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 12 (b) 11 (c) 18 (d) 21
  24. 24.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 10 (c) 15 (d) 16
  25. 25.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 20 (b) 34 (c) 19 (d) 35
  26. 26.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 12 (b) 14 (c) 7 (d) 8
  27. 27.What comes next? 15, 20, 25, 30, 35, ? (a) 39 (b) 45 (c) 40 (d) 41
  28. 28.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 27 (d) 28
  29. 29.What comes next? 22, 32, 42, 52, 62, ? (a) 71 (b) 73 (c) 72 (d) 82
  30. 30.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 31 (c) 29 (d) 30
  31. 31.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 29 (d) 27
  32. 32.What comes next? 3, 10, 8, 15, 13, 20, ? (a) 22 (b) 27 (c) 17 (d) 18
  33. 33.What comes next? 9, 16, 14, 21, 19, 26, ? (a) 23 (b) 33 (c) 28 (d) 24
  34. 34.What comes next? 28, 38, 48, 58, 68, ? (a) 79 (b) 78 (c) 88 (d) 77
  35. 35.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 5 (c) 8 (d) 6
  36. 36.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 22 (c) 28 (d) 29
  37. 37.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 25 (b) 27 (c) 22 (d) 23
  38. 38.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 72 (c) 83 (d) 70
  39. 39.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 47 (c) 46 (d) 54
  40. 40.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 29 (b) 23 (c) 22 (d) 27

Answer key

  1. 26
  2. 42
  3. 33
  4. 20
  5. 6
  6. 32
  7. 21
  8. 11
  9. 17
  10. 35
  11. 20
  12. 32
  13. 31
  14. 81
  15. 2
  16. 81
  17. 192
  18. 64
  19. 85
  20. 162
  21. 56
  22. 13
  23. 12
  24. 15
  25. 20
  26. 8
  27. 40
  28. 26
  29. 72
  30. 30
  31. 28
  32. 18
  33. 24
  34. 78
  35. 6
  36. 28
  37. 23
  38. 71
  39. 46
  40. 23

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