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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 475 · 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? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 34 (d) 33
  2. 2.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 39 (c) 38 (d) 36
  3. 3.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 49 (c) 51 (d) 50
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  5. 5.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 30 (b) 26 (c) 15 (d) 16
  6. 6.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 8 (b) 15 (c) 14 (d) 7
  7. 7.What comes next? 22, 31, 40, 49, 58, ? (a) 68 (b) 76 (c) 66 (d) 67
  8. 8.What comes next? 24, 33, 42, 51, 60, ? (a) 69 (b) 70 (c) 68 (d) 78
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  10. 10.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 34 (c) 37 (d) 36
  11. 11.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 13 (c) 12 (d) 11
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  13. 13.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 42 (c) 41 (d) 44
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  15. 15.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  16. 16.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 64 (c) 66 (d) 65
  17. 17.What comes next? 33, 27, 21, 15, 9, ? (a) 2 (b) 3 (c) 4 (d) 5
  18. 18.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  19. 19.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 15 (c) 16 (d) 20
  20. 20.What comes next? 17, 21, 25, 29, 33, ? (a) 37 (b) 41 (c) 38 (d) 36
  21. 21.What comes next? 27, 30, 33, 36, 39, ? (a) 41 (b) 45 (c) 42 (d) 43
  22. 22.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 28 (c) 22 (d) 29
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  24. 24.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 96 (c) 83 (d) 84
  25. 25.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 71 (c) 73 (d) 72
  26. 26.What comes next? 11, 9, 7, 5, 3, ? (a) 1 (b) 4 (c) 2 (d) 3
  27. 27.What comes next? 41, 35, 29, 23, 17, ? (a) 5 (b) 11 (c) 12 (d) 10
  28. 28.What comes next? 59, 50, 41, 32, 23, ? (a) 15 (b) 13 (c) 5 (d) 14
  29. 29.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  30. 30.What comes next? 38, 34, 30, 26, 22, ? (a) 18 (b) 14 (c) 17 (d) 19
  31. 31.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 26 (b) 27 (c) 13 (d) 14
  32. 32.What comes next? 7, 16, 15, 24, 23, 32, ? (a) 30 (b) 41 (c) 31 (d) 33
  33. 33.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 8 (c) 7 (d) 5
  34. 34.What comes next? 48, 42, 36, 30, 24, ? (a) 19 (b) 17 (c) 18 (d) 12
  35. 35.What comes next? 19, 24, 29, 34, 39, ? (a) 45 (b) 44 (c) 43 (d) 49
  36. 36.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 17 (c) 15 (d) 9
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  38. 38.What comes next? 27, 29, 31, 33, 35, ? (a) 37 (b) 39 (c) 36 (d) 38
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  40. 40.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96

Answer key

  1. 32
  2. 37
  3. 49
  4. 81
  5. 16
  6. 8
  7. 67
  8. 69
  9. 162
  10. 35
  11. 12
  12. 243
  13. 42
  14. 192
  15. 16
  16. 65
  17. 3
  18. 21
  19. 16
  20. 37
  21. 42
  22. 22
  23. 160
  24. 84
  25. 72
  26. 1
  27. 11
  28. 14
  29. 41
  30. 18
  31. 14
  32. 31
  33. 6
  34. 18
  35. 44
  36. 16
  37. 64
  38. 37
  39. 128
  40. 96

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