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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 966 · 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, 22, 17, 12, 7, ? (a) 1 (b) 2 (c) 4 (d) 3
  2. 2.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 37 (d) 35
  3. 3.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 29 (b) 38 (c) 28 (d) 31
  4. 4.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 40 (b) 30 (c) 34 (d) 29
  5. 5.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 24 (b) 25 (c) 27 (d) 30
  6. 6.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 5 (c) 8 (d) 7
  7. 7.What comes next? 27, 29, 31, 33, 35, ? (a) 36 (b) 38 (c) 37 (d) 39
  8. 8.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 43 (c) 44 (d) 46
  9. 9.What comes next? 15, 18, 22, 27, 33, ? (a) 40 (b) 39 (c) 41 (d) 42
  10. 10.What comes next? 62, 53, 44, 35, 26, ? (a) 18 (b) 16 (c) 17 (d) 8
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  13. 13.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 24 (b) 26 (c) 28 (d) 23
  14. 14.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 15 (b) 17 (c) 10 (d) 11
  15. 15.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 21 (c) 22 (d) 18
  16. 16.What comes next? 7, 16, 25, 34, 43, ? (a) 52 (b) 53 (c) 51 (d) 61
  17. 17.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  18. 18.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 20 (b) 21 (c) 16 (d) 15
  19. 19.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 7 (c) 9 (d) 3
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  21. 21.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 16 (b) 18 (c) 14 (d) 13
  22. 22.What comes next? 29, 37, 45, 53, 61, ? (a) 69 (b) 77 (c) 68 (d) 70
  23. 23.What comes next? 12, 18, 24, 30, 36, ? (a) 42 (b) 48 (c) 43 (d) 41
  24. 24.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 26 (b) 21 (c) 18 (d) 19
  25. 25.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 21 (b) 18 (c) 9 (d) 10
  26. 26.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 10 (b) 18 (c) 11 (d) 17
  27. 27.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 38 (c) 45 (d) 39
  28. 28.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 22 (b) 11 (c) 21 (d) 10
  29. 29.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 18 (c) 16 (d) 17
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  31. 31.What comes next? 42, 37, 32, 27, 22, ? (a) 16 (b) 17 (c) 18 (d) 12
  32. 32.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 39 (c) 38 (d) 37
  33. 33.What comes next? 16, 24, 32, 40, 48, ? (a) 64 (b) 55 (c) 56 (d) 57
  34. 34.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 24 (c) 25 (d) 26
  35. 35.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 78 (c) 66 (d) 67
  36. 36.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 17 (d) 16
  37. 37.What comes next? 41, 37, 33, 29, 25, ? (a) 22 (b) 21 (c) 17 (d) 20
  38. 38.What comes next? 22, 34, 46, 58, 70, ? (a) 81 (b) 82 (c) 83 (d) 94
  39. 39.What comes next? 17, 22, 20, 25, 23, 28, ? (a) 33 (b) 26 (c) 25 (d) 30
  40. 40.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 9 (c) 8 (d) 10

Answer key

  1. 2
  2. 35
  3. 29
  4. 30
  5. 25
  6. 8
  7. 37
  8. 43
  9. 40
  10. 17
  11. 162
  12. 243
  13. 24
  14. 11
  15. 22
  16. 52
  17. 192
  18. 16
  19. 8
  20. 96
  21. 14
  22. 69
  23. 42
  24. 19
  25. 10
  26. 11
  27. 39
  28. 11
  29. 17
  30. 128
  31. 17
  32. 37
  33. 56
  34. 24
  35. 66
  36. 16
  37. 21
  38. 82
  39. 26
  40. 8

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