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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 365 · 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? 1, 5, 4, 8, 7, 11, ? (a) 10 (b) 15 (c) 9 (d) 12
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  3. 3.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 9 (b) 8 (c) 13 (d) 11
  4. 4.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26
  5. 5.What comes next? 28, 34, 40, 46, 52, ? (a) 57 (b) 64 (c) 59 (d) 58
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  7. 7.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 23 (c) 22 (d) 21
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  10. 10.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 51 (c) 50 (d) 52
  11. 11.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 50 (c) 56 (d) 51
  12. 12.What comes next? 3, 13, 23, 33, 43, ? (a) 54 (b) 53 (c) 52 (d) 63
  13. 13.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 7 (d) 9
  14. 14.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 42 (c) 43 (d) 41
  15. 15.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 9 (c) 15 (d) 10
  16. 16.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 71 (c) 72 (d) 73
  17. 17.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21
  18. 18.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 11 (c) 13 (d) 10
  19. 19.What comes next? 15, 27, 39, 51, 63, ? (a) 76 (b) 74 (c) 87 (d) 75
  20. 20.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 15 (c) 17 (d) 16
  21. 21.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 34 (c) 32 (d) 39
  22. 22.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 21 (c) 20 (d) 11
  23. 23.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 23 (b) 20 (c) 21 (d) 28
  24. 24.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 22 (b) 21 (c) 5 (d) 4
  25. 25.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 3 (c) 5 (d) 4
  26. 26.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 17 (b) 26 (c) 29 (d) 18
  27. 27.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 3 (c) 2 (d) 1
  28. 28.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 6 (c) 2 (d) 5
  29. 29.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 22 (c) 25 (d) 23
  30. 30.What comes next? 58, 49, 40, 31, 22, ? (a) 13 (b) 4 (c) 12 (d) 14
  31. 31.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 22 (c) 21 (d) 19
  32. 32.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 38 (c) 36 (d) 37
  33. 33.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 8 (c) 10 (d) 11
  34. 34.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 58 (c) 57 (d) 65
  35. 35.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 39 (c) 42 (d) 40
  36. 36.What comes next? 12, 20, 16, 24, 20, 28, ? (a) 24 (b) 23 (c) 36 (d) 32
  37. 37.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 27 (b) 26 (c) 18 (d) 17
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  39. 39.What comes next? 2, 14, 26, 38, 50, ? (a) 63 (b) 74 (c) 61 (d) 62
  40. 40.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 5 (c) 6 (d) 4

Answer key

  1. 10
  2. 243
  3. 9
  4. 26
  5. 58
  6. 162
  7. 22
  8. 192
  9. 160
  10. 51
  11. 50
  12. 53
  13. 7
  14. 42
  15. 10
  16. 72
  17. 21
  18. 11
  19. 75
  20. 16
  21. 33
  22. 20
  23. 21
  24. 5
  25. 3
  26. 18
  27. 2
  28. 5
  29. 23
  30. 13
  31. 20
  32. 36
  33. 10
  34. 57
  35. 40
  36. 24
  37. 18
  38. 32
  39. 62
  40. 5

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