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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 464 · 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, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  2. 2.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 38 (c) 37 (d) 39
  3. 3.What comes next? 50, 42, 34, 26, 18, ? (a) 11 (b) 2 (c) 10 (d) 9
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  6. 6.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 39 (c) 42 (d) 41
  7. 7.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 19 (b) 20 (c) 12 (d) 13
  8. 8.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 65 (c) 57 (d) 58
  9. 9.What comes next? 16, 19, 22, 25, 28, ? (a) 30 (b) 32 (c) 31 (d) 34
  10. 10.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 20 (c) 18 (d) 22
  11. 11.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 54 (c) 51 (d) 50
  12. 12.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 30 (d) 28
  13. 13.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 4 (c) 10 (d) 8
  14. 14.What comes next? 27, 38, 49, 60, 71, ? (a) 82 (b) 93 (c) 81 (d) 83
  15. 15.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 13 (b) 14 (c) 7 (d) 6
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  17. 17.What comes next? 22, 30, 38, 46, 54, ? (a) 61 (b) 70 (c) 63 (d) 62
  18. 18.What comes next? 31, 29, 27, 25, 23, ? (a) 20 (b) 22 (c) 21 (d) 19
  19. 19.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 37 (d) 34
  20. 20.What comes next? 60, 52, 44, 36, 28, ? (a) 20 (b) 21 (c) 12 (d) 19
  21. 21.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 28 (d) 27
  22. 22.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 25 (d) 26
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  24. 24.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 38 (c) 37 (d) 36
  25. 25.What comes next? 6, 13, 9, 16, 12, 19, ? (a) 23 (b) 14 (c) 26 (d) 15
  26. 26.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 19 (b) 13 (c) 12 (d) 17
  27. 27.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 21 (c) 20 (d) 23
  28. 28.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 39 (c) 38 (d) 40
  29. 29.What comes next? 15, 23, 21, 29, 27, 35, ? (a) 43 (b) 37 (c) 32 (d) 33
  30. 30.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 14 (c) 5 (d) 13
  31. 31.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 26 (d) 27
  32. 32.What comes next? 9, 17, 11, 19, 13, 21, ? (a) 27 (b) 14 (c) 29 (d) 15
  33. 33.What comes next? 12, 21, 20, 29, 28, 37, ? (a) 46 (b) 38 (c) 36 (d) 35
  34. 34.What comes next? 10, 15, 20, 25, 30, ? (a) 34 (b) 36 (c) 40 (d) 35
  35. 35.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 29 (c) 30 (d) 31
  36. 36.What comes next? 35, 33, 31, 29, 27, ? (a) 26 (b) 23 (c) 24 (d) 25
  37. 37.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 31 (c) 29 (d) 30
  38. 38.What comes next? 57, 51, 45, 39, 33, ? (a) 28 (b) 21 (c) 27 (d) 26
  39. 39.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  40. 40.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 26 (c) 23 (d) 25

Answer key

  1. 96
  2. 38
  3. 10
  4. 81
  5. 243
  6. 40
  7. 13
  8. 58
  9. 31
  10. 18
  11. 50
  12. 28
  13. 9
  14. 82
  15. 7
  16. 162
  17. 62
  18. 21
  19. 35
  20. 20
  21. 26
  22. 25
  23. 192
  24. 37
  25. 15
  26. 13
  27. 21
  28. 38
  29. 33
  30. 5
  31. 26
  32. 15
  33. 36
  34. 35
  35. 29
  36. 25
  37. 30
  38. 27
  39. 22
  40. 24

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