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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 436 · 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? 10, 11, 13, 16, 20, ? (a) 26 (b) 24 (c) 25 (d) 27
  2. 2.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 37 (d) 38
  3. 3.What comes next? 50, 45, 40, 35, 30, ? (a) 25 (b) 26 (c) 24 (d) 20
  4. 4.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 20 (b) 26 (c) 19 (d) 27
  5. 5.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 27 (c) 28 (d) 29
  6. 6.What comes next? 28, 36, 44, 52, 60, ? (a) 68 (b) 76 (c) 69 (d) 67
  7. 7.What comes next? 16, 25, 34, 43, 52, ? (a) 61 (b) 62 (c) 70 (d) 60
  8. 8.What comes next? 58, 50, 42, 34, 26, ? (a) 10 (b) 18 (c) 17 (d) 19
  9. 9.What comes next? 24, 31, 38, 45, 52, ? (a) 66 (b) 60 (c) 59 (d) 58
  10. 10.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 29 (b) 18 (c) 27 (d) 19
  11. 11.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 6 (b) 5 (c) 15 (d) 14
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  13. 13.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 57 (c) 68 (d) 56
  14. 14.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 48 (d) 65
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  19. 19.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 32 (b) 23 (c) 24 (d) 30
  20. 20.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 22 (b) 21 (c) 26 (d) 28
  21. 21.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 15 (b) 16 (c) 10 (d) 11
  22. 22.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 33 (c) 32 (d) 35
  23. 23.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 32 (b) 30 (c) 18 (d) 17
  24. 24.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 31 (b) 22 (c) 33 (d) 23
  25. 25.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 31 (b) 23 (c) 32 (d) 22
  26. 26.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 5 (c) 2 (d) 3
  27. 27.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 19 (c) 22 (d) 25
  28. 28.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 15 (c) 13 (d) 14
  29. 29.What comes next? 1, 9, 6, 14, 11, 19, ? (a) 27 (b) 15 (c) 22 (d) 16
  30. 30.What comes next? 13, 22, 21, 30, 29, 38, ? (a) 47 (b) 36 (c) 37 (d) 39
  31. 31.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 53 (c) 54 (d) 59
  32. 32.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 25 (c) 26 (d) 27
  33. 33.What comes next? 9, 21, 33, 45, 57, ? (a) 69 (b) 70 (c) 68 (d) 81
  34. 34.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 14 (b) 27 (c) 15 (d) 28
  35. 35.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 23 (d) 22
  36. 36.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 24 (b) 31 (c) 25 (d) 27
  37. 37.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 13 (c) 19 (d) 17
  38. 38.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 42 (c) 41 (d) 40
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  40. 40.What comes next? 52, 45, 38, 31, 24, ? (a) 18 (b) 10 (c) 16 (d) 17

Answer key

  1. 25
  2. 38
  3. 25
  4. 20
  5. 28
  6. 68
  7. 61
  8. 18
  9. 59
  10. 19
  11. 6
  12. 96
  13. 57
  14. 36
  15. 162
  16. 64
  17. 243
  18. 81
  19. 24
  20. 22
  21. 11
  22. 33
  23. 18
  24. 23
  25. 23
  26. 3
  27. 20
  28. 13
  29. 16
  30. 37
  31. 53
  32. 26
  33. 69
  34. 15
  35. 22
  36. 25
  37. 18
  38. 40
  39. 192
  40. 17

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