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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 167 · 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? 19, 27, 35, 43, 51, ? (a) 67 (b) 59 (c) 58 (d) 60
  2. 2.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 36 (c) 35 (d) 34
  3. 3.What comes next? 53, 46, 39, 32, 25, ? (a) 17 (b) 18 (c) 11 (d) 19
  4. 4.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 36 (b) 25 (c) 26 (d) 30
  5. 5.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 67 (c) 79 (d) 69
  6. 6.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 48 (c) 56 (d) 47
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  8. 8.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 4 (c) 5 (d) 2
  9. 9.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  10. 10.What comes next? 12, 18, 15, 21, 18, 24, ? (a) 20 (b) 21 (c) 27 (d) 30
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 8 (c) 1 (d) 9
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  13. 13.What comes next? 18, 20, 22, 24, 26, ? (a) 29 (b) 27 (c) 28 (d) 30
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  16. 16.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 5 (c) 4 (d) 2
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  18. 18.What comes next? 24, 33, 42, 51, 60, ? (a) 68 (b) 69 (c) 70 (d) 78
  19. 19.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 13 (c) 6 (d) 15
  20. 20.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 30 (c) 28 (d) 31
  21. 21.What comes next? 23, 21, 19, 17, 15, ? (a) 12 (b) 11 (c) 14 (d) 13
  22. 22.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 49 (c) 46 (d) 45
  23. 23.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 37 (c) 39 (d) 41
  24. 24.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 36 (d) 34
  25. 25.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 57 (c) 55 (d) 56
  26. 26.What comes next? 9, 16, 11, 18, 13, 20, ? (a) 15 (b) 27 (c) 14 (d) 25
  27. 27.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 60 (c) 61 (d) 62
  28. 28.What comes next? 15, 18, 21, 24, 27, ? (a) 30 (b) 29 (c) 31 (d) 33
  29. 29.What comes next? 10, 14, 18, 22, 26, ? (a) 31 (b) 29 (c) 30 (d) 34
  30. 30.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 31 (c) 33 (d) 34
  31. 31.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 30 (d) 28
  32. 32.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 35 (c) 34 (d) 36
  33. 33.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 11 (c) 12 (d) 8
  34. 34.What comes next? 11, 20, 29, 38, 47, ? (a) 55 (b) 65 (c) 56 (d) 57
  35. 35.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 29 (c) 33 (d) 28
  36. 36.What comes next? 21, 29, 37, 45, 53, ? (a) 60 (b) 69 (c) 62 (d) 61
  37. 37.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  38. 38.What comes next? 32, 30, 28, 26, 24, ? (a) 23 (b) 21 (c) 22 (d) 20
  39. 39.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 34 (d) 32
  40. 40.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4

Answer key

  1. 59
  2. 34
  3. 18
  4. 26
  5. 68
  6. 47
  7. 32
  8. 3
  9. 192
  10. 21
  11. 8
  12. 243
  13. 28
  14. 128
  15. 81
  16. 4
  17. 96
  18. 69
  19. 14
  20. 29
  21. 13
  22. 45
  23. 38
  24. 34
  25. 56
  26. 15
  27. 61
  28. 30
  29. 30
  30. 32
  31. 28
  32. 35
  33. 12
  34. 56
  35. 29
  36. 61
  37. 162
  38. 22
  39. 33
  40. 5

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