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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 825 · 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, 8, 13, 18, 23, ? (a) 33 (b) 28 (c) 29 (d) 27
  2. 2.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 6 (d) 4
  3. 3.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 29 (b) 38 (c) 28 (d) 31
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  5. 5.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  7. 7.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 57 (c) 51 (d) 52
  8. 8.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 32 (c) 30 (d) 29
  9. 9.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 34 (c) 31 (d) 32
  10. 10.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 38 (b) 34 (c) 27 (d) 28
  11. 11.What comes next? 12, 19, 14, 21, 16, 23, ? (a) 17 (b) 28 (c) 18 (d) 30
  12. 12.What comes next? 23, 34, 45, 56, 67, ? (a) 78 (b) 77 (c) 89 (d) 79
  13. 13.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 35 (d) 32
  14. 14.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 10 (d) 9
  15. 15.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 29 (b) 17 (c) 25 (d) 16
  16. 16.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 13 (b) 10 (c) 11 (d) 15
  17. 17.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 16 (b) 17 (c) 24 (d) 19
  18. 18.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 27 (c) 24 (d) 29
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  20. 20.What comes next? 10, 11, 13, 16, 20, ? (a) 26 (b) 25 (c) 24 (d) 27
  21. 21.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 15 (b) 20 (c) 17 (d) 14
  22. 22.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  24. 24.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 12 (c) 13 (d) 14
  25. 25.What comes next? 25, 35, 45, 55, 65, ? (a) 85 (b) 76 (c) 75 (d) 74
  26. 26.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 72 (c) 62 (d) 61
  27. 27.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 63 (c) 71 (d) 62
  28. 28.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 39 (c) 36 (d) 37
  29. 29.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 22 (c) 20 (d) 27
  30. 30.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 43 (c) 41 (d) 42
  31. 31.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  32. 32.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 8 (c) 10 (d) 7
  33. 33.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 12 (c) 10 (d) 11
  34. 34.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 37 (c) 36 (d) 44
  35. 35.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 41 (d) 40
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 39 (d) 40
  37. 37.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 11 (c) 8 (d) 12
  38. 38.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 1 (c) 4 (d) 2
  39. 39.What comes next? 20, 23, 26, 29, 32, ? (a) 36 (b) 35 (c) 38 (d) 34
  40. 40.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 5 (c) 6 (d) 4

Answer key

  1. 28
  2. 4
  3. 29
  4. 81
  5. 27
  6. 96
  7. 52
  8. 30
  9. 32
  10. 28
  11. 18
  12. 78
  13. 33
  14. 10
  15. 17
  16. 11
  17. 17
  18. 25
  19. 243
  20. 25
  21. 15
  22. 22
  23. 64
  24. 13
  25. 75
  26. 61
  27. 62
  28. 37
  29. 20
  30. 41
  31. 32
  32. 8
  33. 11
  34. 37
  35. 40
  36. 39
  37. 12
  38. 2
  39. 35
  40. 4

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