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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 975 · 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? 12, 15, 18, 21, 24, ? (a) 28 (b) 30 (c) 26 (d) 27
  2. 2.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 10 (c) 14 (d) 9
  3. 3.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 41 (d) 39
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  6. 6.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 7 (b) 17 (c) 6 (d) 19
  7. 7.What comes next? 23, 35, 47, 59, 71, ? (a) 83 (b) 82 (c) 84 (d) 95
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  9. 9.What comes next? 27, 32, 37, 42, 47, ? (a) 51 (b) 57 (c) 52 (d) 53
  10. 10.What comes next? 20, 18, 16, 14, 12, ? (a) 10 (b) 11 (c) 9 (d) 8
  11. 11.What comes next? 12, 21, 13, 22, 14, 23, ? (a) 14 (b) 15 (c) 32 (d) 31
  12. 12.What comes next? 18, 24, 23, 29, 28, 34, ? (a) 40 (b) 33 (c) 32 (d) 35
  13. 13.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 22 (b) 26 (c) 24 (d) 21
  14. 14.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 44 (c) 48 (d) 43
  15. 15.What comes next? 2, 8, 14, 20, 26, ? (a) 38 (b) 33 (c) 31 (d) 32
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  17. 17.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 38 (c) 36 (d) 37
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  19. 19.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 6 (c) 4 (d) 5
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  21. 21.What comes next? 3, 7, 11, 15, 19, ? (a) 22 (b) 24 (c) 23 (d) 27
  22. 22.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 9 (c) 15 (d) 17
  23. 23.What comes next? 11, 18, 25, 32, 39, ? (a) 53 (b) 45 (c) 46 (d) 47
  24. 24.What comes next? 69, 61, 53, 45, 37, ? (a) 29 (b) 28 (c) 21 (d) 30
  25. 25.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 28 (d) 30
  26. 26.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  28. 28.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 36 (c) 37 (d) 39
  29. 29.What comes next? 1, 10, 4, 13, 7, 16, ? (a) 22 (b) 25 (c) 9 (d) 10
  30. 30.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 24 (d) 23
  31. 31.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 1 (c) 4 (d) 2
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  33. 33.What comes next? 8, 16, 13, 21, 18, 26, ? (a) 34 (b) 29 (c) 22 (d) 23
  34. 34.What comes next? 2, 14, 26, 38, 50, ? (a) 62 (b) 61 (c) 63 (d) 74
  35. 35.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  36. 36.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 28 (d) 29
  37. 37.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 9 (c) 8 (d) 7
  38. 38.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 7 (c) 8 (d) 6
  39. 39.What comes next? 15, 27, 39, 51, 63, ? (a) 74 (b) 76 (c) 75 (d) 87
  40. 40.What comes next? 40, 33, 26, 19, 12, ? (a) 5 (b) 6 (c) 4 (d) 7

Answer key

  1. 27
  2. 10
  3. 39
  4. 160
  5. 162
  6. 7
  7. 83
  8. 192
  9. 52
  10. 10
  11. 15
  12. 33
  13. 22
  14. 44
  15. 32
  16. 243
  17. 36
  18. 96
  19. 5
  20. 81
  21. 23
  22. 16
  23. 46
  24. 29
  25. 28
  26. 21
  27. 128
  28. 37
  29. 10
  30. 24
  31. 2
  32. 32
  33. 23
  34. 62
  35. 29
  36. 29
  37. 9
  38. 6
  39. 75
  40. 5

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