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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 196 · 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? 15, 26, 37, 48, 59, ? (a) 81 (b) 70 (c) 71 (d) 69
  2. 2.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 40 (d) 42
  3. 3.What comes next? 29, 40, 51, 62, 73, ? (a) 83 (b) 85 (c) 95 (d) 84
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  5. 5.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 34 (c) 35 (d) 33
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  8. 8.What comes next? 29, 41, 53, 65, 77, ? (a) 90 (b) 88 (c) 101 (d) 89
  9. 9.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 45 (c) 48 (d) 47
  10. 10.What comes next? 12, 22, 32, 42, 52, ? (a) 61 (b) 72 (c) 62 (d) 63
  11. 11.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  12. 12.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 9 (c) 6 (d) 8
  13. 13.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 48 (d) 50
  14. 14.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 15 (b) 16 (c) 22 (d) 24
  15. 15.What comes next? 20, 28, 27, 35, 34, 42, ? (a) 43 (b) 50 (c) 40 (d) 41
  16. 16.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 31 (d) 29
  17. 17.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 5 (b) 6 (c) 14 (d) 15
  18. 18.What comes next? 8, 17, 9, 18, 10, 19, ? (a) 11 (b) 28 (c) 27 (d) 10
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  20. 20.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 35 (c) 33 (d) 32
  21. 21.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 27 (d) 29
  22. 22.What comes next? 8, 18, 28, 38, 48, ? (a) 58 (b) 68 (c) 57 (d) 59
  23. 23.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  24. 24.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 17 (c) 9 (d) 16
  25. 25.What comes next? 22, 25, 28, 31, 34, ? (a) 40 (b) 37 (c) 38 (d) 36
  26. 26.What comes next? 27, 24, 21, 18, 15, ? (a) 11 (b) 13 (c) 9 (d) 12
  27. 27.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 30 (b) 17 (c) 29 (d) 16
  28. 28.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 44 (d) 42
  29. 29.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 16 (c) 17 (d) 15
  30. 30.What comes next? 10, 17, 14, 21, 18, 25, ? (a) 28 (b) 32 (c) 21 (d) 22
  31. 31.What comes next? 8, 14, 12, 18, 16, 22, ? (a) 24 (b) 19 (c) 20 (d) 28
  32. 32.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 22 (c) 25 (d) 24
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  34. 34.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 29 (c) 28 (d) 30
  35. 35.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 6 (c) 5 (d) 4
  36. 36.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 32 (d) 29
  37. 37.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 7 (c) 5 (d) 4
  38. 38.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 7 (c) 6 (d) 9
  39. 39.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 30 (d) 28
  40. 40.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 21 (b) 15 (c) 17 (d) 14

Answer key

  1. 70
  2. 40
  3. 84
  4. 162
  5. 33
  6. 81
  7. 243
  8. 89
  9. 46
  10. 62
  11. 160
  12. 9
  13. 48
  14. 16
  15. 41
  16. 29
  17. 6
  18. 11
  19. 64
  20. 33
  21. 27
  22. 58
  23. 41
  24. 17
  25. 37
  26. 12
  27. 17
  28. 43
  29. 15
  30. 22
  31. 20
  32. 23
  33. 32
  34. 28
  35. 4
  36. 30
  37. 5
  38. 7
  39. 28
  40. 15

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