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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 810 · 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? 27, 38, 49, 60, 71, ? (a) 83 (b) 82 (c) 81 (d) 93
  2. 2.What comes next? 15, 24, 16, 25, 17, 26, ? (a) 35 (b) 34 (c) 18 (d) 17
  3. 3.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 11 (c) 5 (d) 4
  4. 4.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 37 (c) 43 (d) 36
  5. 5.What comes next? 19, 23, 27, 31, 35, ? (a) 43 (b) 40 (c) 39 (d) 38
  6. 6.What comes next? 14, 23, 32, 41, 50, ? (a) 60 (b) 59 (c) 68 (d) 58
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  8. 8.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 13 (b) 9 (c) 11 (d) 8
  9. 9.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 28 (c) 26 (d) 22
  10. 10.What comes next? 52, 46, 40, 34, 28, ? (a) 16 (b) 22 (c) 23 (d) 21
  11. 11.What comes next? 40, 34, 28, 22, 16, ? (a) 4 (b) 11 (c) 10 (d) 9
  12. 12.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 39 (c) 46 (d) 40
  13. 13.What comes next? 7, 17, 27, 37, 47, ? (a) 57 (b) 58 (c) 56 (d) 67
  14. 14.What comes next? 11, 20, 14, 23, 17, 26, ? (a) 35 (b) 20 (c) 32 (d) 19
  15. 15.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 17 (d) 15
  16. 16.What comes next? 20, 30, 40, 50, 60, ? (a) 70 (b) 69 (c) 80 (d) 71
  17. 17.What comes next? 58, 50, 42, 34, 26, ? (a) 17 (b) 19 (c) 18 (d) 10
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  20. 20.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 3 (c) 11 (d) 10
  21. 21.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 45 (c) 44 (d) 43
  22. 22.What comes next? 34, 31, 28, 25, 22, ? (a) 18 (b) 19 (c) 20 (d) 16
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  24. 24.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 33 (b) 25 (c) 36 (d) 24
  25. 25.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 76 (c) 77 (d) 86
  26. 26.What comes next? 36, 33, 30, 27, 24, ? (a) 22 (b) 20 (c) 18 (d) 21
  27. 27.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 1 (c) 3 (d) 4
  28. 28.What comes next? 27, 37, 47, 57, 67, ? (a) 78 (b) 77 (c) 87 (d) 76
  29. 29.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 9 (c) 14 (d) 12
  30. 30.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  31. 31.What comes next? 15, 21, 27, 33, 39, ? (a) 46 (b) 44 (c) 45 (d) 51
  32. 32.What comes next? 6, 14, 22, 30, 38, ? (a) 47 (b) 54 (c) 46 (d) 45
  33. 33.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 42 (c) 38 (d) 40
  34. 34.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 5 (c) 10 (d) 9
  35. 35.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 32 (d) 29
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 38 (d) 41
  37. 37.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  38. 38.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 24 (d) 27
  39. 39.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  40. 40.What comes next? 5, 14, 8, 17, 11, 20, ? (a) 26 (b) 14 (c) 29 (d) 13

Answer key

  1. 82
  2. 18
  3. 5
  4. 37
  5. 39
  6. 59
  7. 162
  8. 9
  9. 27
  10. 22
  11. 10
  12. 39
  13. 57
  14. 20
  15. 16
  16. 70
  17. 18
  18. 192
  19. 243
  20. 10
  21. 43
  22. 19
  23. 32
  24. 25
  25. 76
  26. 21
  27. 4
  28. 77
  29. 10
  30. 2
  31. 45
  32. 46
  33. 39
  34. 9
  35. 30
  36. 39
  37. 30
  38. 25
  39. 81
  40. 14

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