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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 234 · 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? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 22 (d) 25
  2. 2.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 25 (d) 24
  3. 3.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 38 (c) 41 (d) 39
  4. 4.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 64 (c) 63 (d) 75
  5. 5.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 15 (c) 13 (d) 16
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  8. 8.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 84 (c) 83 (d) 96
  9. 9.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 46 (c) 49 (d) 47
  10. 10.What comes next? 66, 57, 48, 39, 30, ? (a) 21 (b) 22 (c) 12 (d) 20
  11. 11.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 14 (b) 12 (c) 11 (d) 16
  12. 12.What comes next? 23, 20, 17, 14, 11, ? (a) 7 (b) 9 (c) 8 (d) 5
  13. 13.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 56 (c) 50 (d) 49
  14. 14.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  15. 15.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 39 (c) 38 (d) 36
  16. 16.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 16 (b) 19 (c) 10 (d) 9
  17. 17.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 24 (b) 25 (c) 27 (d) 30
  18. 18.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 68 (c) 56 (d) 57
  19. 19.What comes next? 17, 28, 39, 50, 61, ? (a) 72 (b) 71 (c) 73 (d) 83
  20. 20.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 7 (c) 5 (d) 6
  21. 21.What comes next? 4, 14, 24, 34, 44, ? (a) 55 (b) 64 (c) 54 (d) 53
  22. 22.What comes next? 20, 22, 24, 26, 28, ? (a) 32 (b) 31 (c) 30 (d) 29
  23. 23.What comes next? 4, 16, 28, 40, 52, ? (a) 65 (b) 63 (c) 64 (d) 76
  24. 24.What comes next? 29, 34, 39, 44, 49, ? (a) 53 (b) 55 (c) 59 (d) 54
  25. 25.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 35 (c) 37 (d) 36
  26. 26.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 33 (d) 32
  27. 27.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 9 (b) 11 (c) 13 (d) 8
  28. 28.What comes next? 44, 38, 32, 26, 20, ? (a) 15 (b) 14 (c) 8 (d) 13
  29. 29.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 49 (d) 50
  30. 30.What comes next? 28, 37, 46, 55, 64, ? (a) 82 (b) 73 (c) 72 (d) 74
  31. 31.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 30 (c) 24 (d) 23
  32. 32.What comes next? 26, 28, 30, 32, 34, ? (a) 37 (b) 36 (c) 38 (d) 35
  33. 33.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 20 (c) 19 (d) 21
  34. 34.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 20 (b) 16 (c) 22 (d) 15
  35. 35.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  36. 36.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 21 (b) 22 (c) 29 (d) 26
  37. 37.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 40 (d) 41
  38. 38.What comes next? 38, 35, 32, 29, 26, ? (a) 24 (b) 22 (c) 20 (d) 23
  39. 39.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 35 (c) 30 (d) 31
  40. 40.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 10 (c) 8 (d) 7

Answer key

  1. 23
  2. 25
  3. 39
  4. 64
  5. 16
  6. 162
  7. 128
  8. 84
  9. 47
  10. 21
  11. 12
  12. 8
  13. 50
  14. 21
  15. 37
  16. 10
  17. 25
  18. 57
  19. 72
  20. 7
  21. 54
  22. 30
  23. 64
  24. 54
  25. 35
  26. 31
  27. 9
  28. 14
  29. 48
  30. 73
  31. 24
  32. 36
  33. 20
  34. 16
  35. 96
  36. 22
  37. 41
  38. 23
  39. 31
  40. 8

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