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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 827 · 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, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  2. 2.What comes next? 3, 14, 25, 36, 47, ? (a) 58 (b) 69 (c) 59 (d) 57
  3. 3.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 25 (d) 26
  4. 4.What comes next? 17, 23, 29, 35, 41, ? (a) 53 (b) 46 (c) 47 (d) 48
  5. 5.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 25 (d) 24
  6. 6.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 28 (c) 27 (d) 30
  7. 7.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 38 (c) 37 (d) 40
  8. 8.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 40 (c) 41 (d) 42
  9. 9.What comes next? 48, 39, 30, 21, 12, ? (a) 2 (b) 4 (c) 5 (d) 3
  10. 10.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 27 (c) 25 (d) 21
  11. 11.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 4 (c) 3 (d) 1
  12. 12.What comes next? 16, 27, 38, 49, 60, ? (a) 82 (b) 72 (c) 71 (d) 70
  13. 13.What comes next? 22, 31, 40, 49, 58, ? (a) 68 (b) 67 (c) 76 (d) 66
  14. 14.What comes next? 45, 40, 35, 30, 25, ? (a) 20 (b) 19 (c) 21 (d) 15
  15. 15.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 43 (c) 45 (d) 51
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  17. 17.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 14 (c) 15 (d) 9
  18. 18.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 13 (b) 22 (c) 14 (d) 20
  19. 19.What comes next? 53, 45, 37, 29, 21, ? (a) 5 (b) 14 (c) 13 (d) 12
  20. 20.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 43 (c) 40 (d) 39
  21. 21.What comes next? 3, 5, 7, 9, 11, ? (a) 15 (b) 13 (c) 14 (d) 12
  22. 22.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 23 (b) 33 (c) 34 (d) 22
  23. 23.What comes next? 47, 39, 31, 23, 15, ? (a) 7 (b) 9 (c) 8 (d) 6
  24. 24.What comes next? 8, 11, 14, 17, 20, ? (a) 24 (b) 23 (c) 22 (d) 26
  25. 25.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 69 (c) 67 (d) 80
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  27. 27.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 35 (c) 36 (d) 34
  28. 28.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 25 (d) 28
  29. 29.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 90 (c) 78 (d) 77
  30. 30.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  32. 32.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 5 (c) 7 (d) 3
  33. 33.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 25 (c) 23 (d) 24
  34. 34.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 42 (c) 44 (d) 41
  35. 35.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 35 (c) 34 (d) 33
  36. 36.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 34 (d) 33
  37. 37.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 9 (b) 8 (c) 13 (d) 15
  38. 38.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 22 (c) 21 (d) 24
  39. 39.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 43 (c) 42 (d) 40
  40. 40.What comes next? 54, 48, 42, 36, 30, ? (a) 23 (b) 18 (c) 25 (d) 24

Answer key

  1. 243
  2. 58
  3. 25
  4. 47
  5. 24
  6. 28
  7. 38
  8. 40
  9. 3
  10. 21
  11. 1
  12. 71
  13. 67
  14. 20
  15. 44
  16. 96
  17. 14
  18. 14
  19. 13
  20. 40
  21. 13
  22. 23
  23. 7
  24. 23
  25. 68
  26. 160
  27. 34
  28. 26
  29. 78
  30. 39
  31. 162
  32. 6
  33. 24
  34. 41
  35. 34
  36. 34
  37. 9
  38. 22
  39. 41
  40. 24

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