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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 38 · 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? 6, 11, 9, 14, 12, 17, ? (a) 22 (b) 14 (c) 15 (d) 19
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  4. 4.What comes next? 30, 38, 46, 54, 62, ? (a) 70 (b) 71 (c) 69 (d) 78
  5. 5.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  6. 6.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 32 (d) 33
  7. 7.What comes next? 15, 23, 17, 25, 19, 27, ? (a) 21 (b) 20 (c) 35 (d) 33
  8. 8.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 37 (d) 38
  9. 9.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 35 (b) 34 (c) 37 (d) 44
  10. 10.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 24 (c) 22 (d) 23
  11. 11.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 38 (c) 40 (d) 39
  12. 12.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 17 (d) 16
  13. 13.What comes next? 21, 29, 37, 45, 53, ? (a) 69 (b) 61 (c) 60 (d) 62
  14. 14.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 4 (d) 3
  15. 15.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 39 (d) 41
  16. 16.What comes next? 5, 13, 6, 14, 7, 15, ? (a) 23 (b) 8 (c) 22 (d) 7
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  18. 18.What comes next? 14, 25, 36, 47, 58, ? (a) 68 (b) 70 (c) 80 (d) 69
  19. 19.What comes next? 40, 34, 28, 22, 16, ? (a) 4 (b) 11 (c) 9 (d) 10
  20. 20.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 18 (d) 20
  21. 21.What comes next? 65, 58, 51, 44, 37, ? (a) 23 (b) 29 (c) 31 (d) 30
  22. 22.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 3 (c) 5 (d) 4
  23. 23.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 34 (c) 36 (d) 35
  24. 24.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  25. 25.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 89 (c) 87 (d) 88
  26. 26.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 20 (b) 26 (c) 19 (d) 24
  27. 27.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 33 (c) 35 (d) 32
  28. 28.What comes next? 58, 50, 42, 34, 26, ? (a) 10 (b) 19 (c) 18 (d) 17
  29. 29.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 34 (b) 30 (c) 27 (d) 28
  30. 30.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 2 (c) 3 (d) 1
  31. 31.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 45 (c) 46 (d) 49
  32. 32.What comes next? 49, 43, 37, 31, 25, ? (a) 20 (b) 13 (c) 19 (d) 18
  33. 33.What comes next? 14, 23, 32, 41, 50, ? (a) 60 (b) 68 (c) 59 (d) 58
  34. 34.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 26 (b) 34 (c) 37 (d) 25
  35. 35.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 25 (b) 22 (c) 18 (d) 17
  36. 36.What comes next? 4, 12, 20, 28, 36, ? (a) 44 (b) 43 (c) 45 (d) 52
  37. 37.What comes next? 60, 52, 44, 36, 28, ? (a) 19 (b) 20 (c) 21 (d) 12
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  39. 39.What comes next? 30, 33, 36, 39, 42, ? (a) 45 (b) 48 (c) 44 (d) 46
  40. 40.What comes next? 11, 19, 18, 26, 25, 33, ? (a) 32 (b) 41 (c) 31 (d) 34

Answer key

  1. 15
  2. 162
  3. 81
  4. 70
  5. 31
  6. 31
  7. 21
  8. 37
  9. 35
  10. 23
  11. 39
  12. 16
  13. 61
  14. 3
  15. 39
  16. 8
  17. 243
  18. 69
  19. 10
  20. 19
  21. 30
  22. 4
  23. 35
  24. 27
  25. 88
  26. 20
  27. 33
  28. 18
  29. 28
  30. 1
  31. 45
  32. 19
  33. 59
  34. 26
  35. 18
  36. 44
  37. 20
  38. 128
  39. 45
  40. 32

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