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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 729 · 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? 9, 12, 15, 18, 21, ? (a) 27 (b) 25 (c) 24 (d) 23
  2. 2.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 43 (d) 44
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  4. 4.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 45 (c) 41 (d) 40
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  6. 6.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 28 (d) 25
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  8. 8.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 14 (c) 13 (d) 16
  9. 9.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 3 (c) 6 (d) 7
  10. 10.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 3 (c) 1 (d) 2
  11. 11.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  12. 12.What comes next? 27, 37, 47, 57, 67, ? (a) 78 (b) 77 (c) 87 (d) 76
  13. 13.What comes next? 11, 15, 19, 23, 27, ? (a) 31 (b) 35 (c) 30 (d) 32
  14. 14.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  15. 15.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 8 (c) 9 (d) 7
  16. 16.What comes next? 12, 15, 18, 21, 24, ? (a) 28 (b) 30 (c) 26 (d) 27
  17. 17.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 21 (c) 20 (d) 19
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  19. 19.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 24 (c) 21 (d) 23
  20. 20.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 4 (d) 5
  21. 21.What comes next? 27, 29, 31, 33, 35, ? (a) 37 (b) 36 (c) 38 (d) 39
  22. 22.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 42 (c) 44 (d) 43
  23. 23.What comes next? 5, 14, 10, 19, 15, 24, ? (a) 19 (b) 20 (c) 28 (d) 33
  24. 24.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 63 (c) 62 (d) 71
  25. 25.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 7 (c) 6 (d) 5
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  27. 27.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 35 (c) 32 (d) 34
  28. 28.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 32 (b) 26 (c) 23 (d) 24
  29. 29.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 34 (d) 32
  30. 30.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 8 (c) 9 (d) 7
  31. 31.What comes next? 3, 11, 8, 16, 13, 21, ? (a) 18 (b) 29 (c) 17 (d) 24
  32. 32.What comes next? 18, 29, 40, 51, 62, ? (a) 84 (b) 73 (c) 74 (d) 72
  33. 33.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 7 (c) 6 (d) 13
  34. 34.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 20 (b) 13 (c) 12 (d) 19
  35. 35.What comes next? 55, 50, 45, 40, 35, ? (a) 29 (b) 31 (c) 25 (d) 30
  36. 36.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 33 (d) 31
  37. 37.What comes next? 24, 35, 46, 57, 68, ? (a) 79 (b) 78 (c) 90 (d) 80
  38. 38.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 56 (c) 55 (d) 57
  39. 39.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 29 (c) 27 (d) 30
  40. 40.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 8 (c) 9 (d) 7

Answer key

  1. 24
  2. 42
  3. 243
  4. 41
  5. 32
  6. 26
  7. 81
  8. 14
  9. 7
  10. 1
  11. 3
  12. 77
  13. 31
  14. 160
  15. 8
  16. 27
  17. 20
  18. 162
  19. 23
  20. 3
  21. 37
  22. 43
  23. 20
  24. 62
  25. 6
  26. 128
  27. 33
  28. 24
  29. 32
  30. 9
  31. 18
  32. 73
  33. 7
  34. 13
  35. 30
  36. 32
  37. 79
  38. 56
  39. 28
  40. 8

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