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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 743 · 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? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  2. 2.What comes next? 18, 21, 24, 27, 30, ? (a) 33 (b) 36 (c) 32 (d) 34
  3. 3.What comes next? 37, 32, 27, 22, 17, ? (a) 11 (b) 13 (c) 12 (d) 7
  4. 4.What comes next? 14, 23, 15, 24, 16, 25, ? (a) 17 (b) 33 (c) 16 (d) 34
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  6. 6.What comes next? 17, 26, 20, 29, 23, 32, ? (a) 41 (b) 25 (c) 38 (d) 26
  7. 7.What comes next? 30, 40, 50, 60, 70, ? (a) 80 (b) 79 (c) 90 (d) 81
  8. 8.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 8 (c) 9 (d) 7
  9. 9.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 15 (c) 8 (d) 16
  10. 10.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 6 (c) 1 (d) 7
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  12. 12.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 9 (c) 7 (d) 8
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  14. 14.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 36 (c) 38 (d) 37
  15. 15.What comes next? 24, 32, 40, 48, 56, ? (a) 72 (b) 65 (c) 63 (d) 64
  16. 16.What comes next? 43, 35, 27, 19, 11, ? (a) 5 (b) 3 (c) 2 (d) 4
  17. 17.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 26 (c) 25 (d) 24
  18. 18.What comes next? 25, 37, 49, 61, 73, ? (a) 84 (b) 86 (c) 85 (d) 97
  19. 19.What comes next? 15, 18, 21, 24, 27, ? (a) 30 (b) 31 (c) 29 (d) 33
  20. 20.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 27 (c) 26 (d) 28
  21. 21.What comes next? 35, 29, 23, 17, 11, ? (a) 4 (b) 6 (c) 7 (d) 5
  22. 22.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  23. 23.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 4 (c) 11 (d) 10
  24. 24.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 34 (c) 33 (d) 31
  25. 25.What comes next? 53, 44, 35, 26, 17, ? (a) 8 (b) 7 (c) 9 (d) 10
  26. 26.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 5 (c) 6 (d) 4
  27. 27.What comes next? 6, 10, 14, 18, 22, ? (a) 26 (b) 27 (c) 25 (d) 30
  28. 28.What comes next? 5, 17, 29, 41, 53, ? (a) 65 (b) 66 (c) 64 (d) 77
  29. 29.What comes next? 12, 22, 32, 42, 52, ? (a) 72 (b) 63 (c) 61 (d) 62
  30. 30.What comes next? 39, 36, 33, 30, 27, ? (a) 21 (b) 24 (c) 23 (d) 25
  31. 31.What comes next? 15, 25, 35, 45, 55, ? (a) 75 (b) 65 (c) 64 (d) 66
  32. 32.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 15 (c) 17 (d) 13
  33. 33.What comes next? 4, 13, 22, 31, 40, ? (a) 50 (b) 48 (c) 58 (d) 49
  34. 34.What comes next? 23, 35, 47, 59, 71, ? (a) 82 (b) 83 (c) 95 (d) 84
  35. 35.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 52 (c) 53 (d) 59
  36. 36.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 41 (d) 40
  37. 37.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 27 (b) 24 (c) 15 (d) 16
  38. 38.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 46 (c) 44 (d) 45
  39. 39.What comes next? 52, 46, 40, 34, 28, ? (a) 16 (b) 21 (c) 23 (d) 22
  40. 40.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 1 (d) 2

Answer key

  1. 64
  2. 33
  3. 12
  4. 17
  5. 162
  6. 26
  7. 80
  8. 7
  9. 9
  10. 7
  11. 32
  12. 7
  13. 243
  14. 37
  15. 64
  16. 3
  17. 25
  18. 85
  19. 30
  20. 28
  21. 5
  22. 128
  23. 11
  24. 32
  25. 8
  26. 5
  27. 26
  28. 65
  29. 62
  30. 24
  31. 65
  32. 13
  33. 49
  34. 83
  35. 53
  36. 41
  37. 16
  38. 44
  39. 22
  40. 2

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