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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 770 · 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, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  2. 2.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 24 (c) 23 (d) 22
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  5. 5.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 61 (c) 60 (d) 71
  6. 6.What comes next? 39, 33, 27, 21, 15, ? (a) 9 (b) 8 (c) 3 (d) 10
  7. 7.What comes next? 14, 26, 38, 50, 62, ? (a) 75 (b) 73 (c) 74 (d) 86
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  9. 9.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 64 (c) 56 (d) 54
  10. 10.What comes next? 21, 23, 25, 27, 29, ? (a) 32 (b) 33 (c) 31 (d) 30
  11. 11.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 20 (b) 17 (c) 18 (d) 24
  12. 12.What comes next? 21, 31, 41, 51, 61, ? (a) 70 (b) 81 (c) 71 (d) 72
  13. 13.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 37 (c) 35 (d) 36
  14. 14.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 46 (c) 44 (d) 45
  15. 15.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  17. 17.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 11 (c) 10 (d) 3
  18. 18.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 24 (c) 25 (d) 26
  19. 19.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 5 (c) 6 (d) 13
  20. 20.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 7 (c) 8 (d) 9
  21. 21.What comes next? 15, 25, 35, 45, 55, ? (a) 64 (b) 75 (c) 65 (d) 66
  22. 22.What comes next? 49, 42, 35, 28, 21, ? (a) 14 (b) 7 (c) 15 (d) 13
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  24. 24.What comes next? 4, 16, 28, 40, 52, ? (a) 65 (b) 63 (c) 76 (d) 64
  25. 25.What comes next? 65, 58, 51, 44, 37, ? (a) 30 (b) 31 (c) 29 (d) 23
  26. 26.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 21 (b) 23 (c) 18 (d) 19
  27. 27.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 37 (c) 38 (d) 36
  28. 28.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 10 (c) 11 (d) 4
  29. 29.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 80 (c) 81 (d) 93
  30. 30.What comes next? 27, 25, 23, 21, 19, ? (a) 17 (b) 16 (c) 15 (d) 18
  31. 31.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 35 (d) 36
  32. 32.What comes next? 15, 26, 37, 48, 59, ? (a) 81 (b) 71 (c) 69 (d) 70
  33. 33.What comes next? 6, 8, 10, 12, 14, ? (a) 16 (b) 18 (c) 17 (d) 15
  34. 34.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 7 (d) 6
  35. 35.What comes next? 24, 31, 38, 45, 52, ? (a) 59 (b) 66 (c) 60 (d) 58
  36. 36.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 48 (d) 46
  37. 37.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  38. 38.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 27 (c) 28 (d) 29
  39. 39.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 33 (c) 27 (d) 28
  40. 40.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 24 (d) 23

Answer key

  1. 243
  2. 23
  3. 192
  4. 96
  5. 60
  6. 9
  7. 74
  8. 81
  9. 55
  10. 31
  11. 18
  12. 71
  13. 36
  14. 45
  15. 160
  16. 162
  17. 4
  18. 24
  19. 6
  20. 9
  21. 65
  22. 14
  23. 64
  24. 64
  25. 30
  26. 19
  27. 37
  28. 11
  29. 81
  30. 17
  31. 35
  32. 70
  33. 16
  34. 6
  35. 59
  36. 46
  37. 39
  38. 28
  39. 28
  40. 23

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