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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 999 · 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? 3, 11, 10, 18, 17, 25, ? (a) 33 (b) 23 (c) 26 (d) 24
  2. 2.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.What comes next? 41, 36, 31, 26, 21, ? (a) 15 (b) 16 (c) 11 (d) 17
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  5. 5.What comes next? 10, 18, 26, 34, 42, ? (a) 51 (b) 58 (c) 50 (d) 49
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  8. 8.What comes next? 39, 33, 27, 21, 15, ? (a) 8 (b) 3 (c) 10 (d) 9
  9. 9.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 19 (c) 18 (d) 16
  10. 10.What comes next? 3, 12, 9, 18, 15, 24, ? (a) 33 (b) 21 (c) 27 (d) 20
  11. 11.What comes next? 12, 14, 16, 18, 20, ? (a) 23 (b) 21 (c) 24 (d) 22
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  13. 13.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 15 (c) 16 (d) 17
  14. 14.What comes next? 3, 7, 11, 15, 19, ? (a) 27 (b) 24 (c) 23 (d) 22
  15. 15.What comes next? 19, 31, 43, 55, 67, ? (a) 80 (b) 91 (c) 78 (d) 79
  16. 16.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 10 (c) 8 (d) 9
  17. 17.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 2 (c) 4 (d) 3
  18. 18.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 7 (c) 9 (d) 10
  19. 19.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 96 (c) 85 (d) 84
  20. 20.What comes next? 57, 48, 39, 30, 21, ? (a) 13 (b) 12 (c) 3 (d) 11
  21. 21.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 29 (d) 27
  22. 22.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 25 (b) 18 (c) 20 (d) 17
  23. 23.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 36 (c) 35 (d) 34
  24. 24.What comes next? 31, 27, 23, 19, 15, ? (a) 10 (b) 12 (c) 11 (d) 7
  25. 25.What comes next? 25, 34, 43, 52, 61, ? (a) 70 (b) 71 (c) 79 (d) 69
  26. 26.What comes next? 5, 10, 15, 20, 25, ? (a) 30 (b) 31 (c) 29 (d) 35
  27. 27.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 21 (d) 23
  28. 28.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 51 (c) 52 (d) 53
  29. 29.What comes next? 14, 22, 30, 38, 46, ? (a) 53 (b) 54 (c) 55 (d) 62
  30. 30.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  31. 31.What comes next? 69, 60, 51, 42, 33, ? (a) 25 (b) 24 (c) 23 (d) 15
  32. 32.What comes next? 14, 18, 22, 26, 30, ? (a) 35 (b) 33 (c) 38 (d) 34
  33. 33.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 12 (b) 24 (c) 25 (d) 11
  34. 34.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 50 (c) 51 (d) 54
  35. 35.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 30 (b) 31 (c) 35 (d) 40
  36. 36.What comes next? 2, 9, 6, 13, 10, 17, ? (a) 20 (b) 13 (c) 24 (d) 14
  37. 37.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 40 (c) 41 (d) 39
  38. 38.What comes next? 20, 30, 40, 50, 60, ? (a) 71 (b) 70 (c) 80 (d) 69
  39. 39.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 20 (b) 19 (c) 24 (d) 25
  40. 40.What comes next? 8, 14, 20, 26, 32, ? (a) 37 (b) 38 (c) 39 (d) 44

Answer key

  1. 24
  2. 1
  3. 16
  4. 128
  5. 50
  6. 243
  7. 160
  8. 9
  9. 19
  10. 21
  11. 22
  12. 96
  13. 16
  14. 23
  15. 79
  16. 9
  17. 2
  18. 9
  19. 85
  20. 12
  21. 28
  22. 18
  23. 35
  24. 11
  25. 70
  26. 30
  27. 22
  28. 52
  29. 54
  30. 162
  31. 24
  32. 34
  33. 12
  34. 50
  35. 31
  36. 14
  37. 40
  38. 70
  39. 20
  40. 38

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