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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 958 · 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? 11, 15, 13, 17, 15, 19, ? (a) 21 (b) 23 (c) 16 (d) 17
  2. 2.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 45 (c) 43 (d) 44
  3. 3.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 26 (c) 25 (d) 24
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  5. 5.What comes next? 17, 27, 37, 47, 57, ? (a) 66 (b) 68 (c) 77 (d) 67
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  7. 7.What comes next? 1, 10, 4, 13, 7, 16, ? (a) 22 (b) 9 (c) 25 (d) 10
  8. 8.What comes next? 25, 37, 49, 61, 73, ? (a) 86 (b) 84 (c) 85 (d) 97
  9. 9.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 52 (c) 47 (d) 49
  10. 10.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 28 (c) 29 (d) 26
  11. 11.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 7 (c) 2 (d) 8
  12. 12.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 41 (d) 40
  13. 13.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 3 (c) 7 (d) 8
  14. 14.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 86 (c) 87 (d) 88
  15. 15.What comes next? 59, 50, 41, 32, 23, ? (a) 5 (b) 14 (c) 13 (d) 15
  16. 16.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 61 (c) 60 (d) 62
  17. 17.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 18 (c) 11 (d) 12
  18. 18.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 4 (c) 1 (d) 5
  19. 19.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 28 (c) 27 (d) 30
  20. 20.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 17 (b) 19 (c) 12 (d) 13
  21. 21.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 17 (c) 16 (d) 19
  22. 22.What comes next? 18, 27, 36, 45, 54, ? (a) 63 (b) 64 (c) 62 (d) 72
  23. 23.What comes next? 17, 25, 21, 29, 25, 33, ? (a) 37 (b) 28 (c) 29 (d) 41
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  25. 25.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 83 (c) 82 (d) 95
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  27. 27.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 34 (c) 37 (d) 35
  28. 28.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 24 (d) 25
  29. 29.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 24 (c) 19 (d) 23
  30. 30.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 61 (c) 62 (d) 63
  31. 31.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 57 (c) 52 (d) 51
  32. 32.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 64 (c) 58 (d) 57
  33. 33.What comes next? 8, 16, 24, 32, 40, ? (a) 56 (b) 49 (c) 47 (d) 48
  34. 34.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 8 (d) 11
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  36. 36.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 22 (d) 23
  37. 37.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 23 (d) 24
  38. 38.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 8 (c) 10 (d) 9
  39. 39.What comes next? 43, 40, 37, 34, 31, ? (a) 29 (b) 27 (c) 25 (d) 28
  40. 40.What comes next? 18, 24, 22, 28, 26, 32, ? (a) 30 (b) 34 (c) 38 (d) 29

Answer key

  1. 17
  2. 44
  3. 24
  4. 32
  5. 67
  6. 160
  7. 10
  8. 85
  9. 48
  10. 27
  11. 8
  12. 41
  13. 8
  14. 87
  15. 14
  16. 61
  17. 12
  18. 5
  19. 28
  20. 13
  21. 17
  22. 63
  23. 29
  24. 162
  25. 83
  26. 192
  27. 35
  28. 23
  29. 23
  30. 62
  31. 52
  32. 57
  33. 48
  34. 12
  35. 243
  36. 23
  37. 22
  38. 9
  39. 28
  40. 30

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