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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 916 · 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, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  2. 2.What comes next? 3, 12, 21, 30, 39, ? (a) 49 (b) 48 (c) 57 (d) 47
  3. 3.What comes next? 13, 19, 25, 31, 37, ? (a) 49 (b) 42 (c) 44 (d) 43
  4. 4.What comes next? 15, 17, 19, 21, 23, ? (a) 27 (b) 25 (c) 26 (d) 24
  5. 5.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  6. 6.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 36 (c) 35 (d) 37
  7. 7.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 28 (c) 30 (d) 27
  8. 8.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 37 (d) 34
  9. 9.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 11 (b) 15 (c) 10 (d) 13
  10. 10.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 8 (b) 24 (c) 9 (d) 23
  11. 11.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 32 (b) 24 (c) 27 (d) 25
  12. 12.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 24 (c) 26 (d) 25
  13. 13.What comes next? 6, 13, 8, 15, 10, 17, ? (a) 22 (b) 11 (c) 24 (d) 12
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  15. 15.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 28 (c) 26 (d) 27
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  17. 17.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 23 (c) 22 (d) 21
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  19. 19.What comes next? 16, 27, 38, 49, 60, ? (a) 82 (b) 70 (c) 71 (d) 72
  20. 20.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 3 (c) 4 (d) 2
  21. 21.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 29 (c) 30 (d) 31
  22. 22.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 49 (c) 45 (d) 44
  23. 23.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 38 (c) 37 (d) 36
  24. 24.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  25. 25.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 5 (c) 8 (d) 6
  26. 26.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 32 (d) 31
  27. 27.What comes next? 37, 34, 31, 28, 25, ? (a) 23 (b) 22 (c) 19 (d) 21
  28. 28.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 53 (c) 61 (d) 52
  29. 29.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 6 (c) 2 (d) 5
  30. 30.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 22 (b) 23 (c) 37 (d) 35
  31. 31.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  32. 32.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 15 (c) 16 (d) 17
  33. 33.What comes next? 24, 36, 48, 60, 72, ? (a) 83 (b) 96 (c) 84 (d) 85
  34. 34.What comes next? 12, 23, 34, 45, 56, ? (a) 68 (b) 78 (c) 67 (d) 66
  35. 35.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 24 (d) 23
  36. 36.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 36 (c) 35 (d) 34
  37. 37.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 10 (b) 19 (c) 9 (d) 18
  38. 38.What comes next? 18, 30, 42, 54, 66, ? (a) 90 (b) 79 (c) 78 (d) 77
  39. 39.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 33 (c) 35 (d) 36
  40. 40.What comes next? 11, 17, 13, 19, 15, 21, ? (a) 25 (b) 27 (c) 17 (d) 16

Answer key

  1. 81
  2. 48
  3. 43
  4. 25
  5. 2
  6. 36
  7. 28
  8. 35
  9. 11
  10. 9
  11. 25
  12. 25
  13. 12
  14. 243
  15. 27
  16. 192
  17. 22
  18. 96
  19. 71
  20. 2
  21. 30
  22. 44
  23. 37
  24. 31
  25. 6
  26. 31
  27. 22
  28. 53
  29. 5
  30. 23
  31. 32
  32. 16
  33. 84
  34. 67
  35. 23
  36. 35
  37. 10
  38. 78
  39. 34
  40. 17

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