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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 739 · 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? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  2. 2.What comes next? 29, 32, 35, 38, 41, ? (a) 45 (b) 44 (c) 47 (d) 43
  3. 3.What comes next? 30, 36, 42, 48, 54, ? (a) 60 (b) 61 (c) 66 (d) 59
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  5. 5.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  8. 8.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 46 (c) 49 (d) 48
  9. 9.What comes next? 11, 14, 17, 20, 23, ? (a) 29 (b) 26 (c) 25 (d) 27
  10. 10.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 12 (c) 10 (d) 11
  11. 11.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 9 (b) 16 (c) 14 (d) 10
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  13. 13.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 5 (c) 4 (d) 6
  14. 14.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 4 (c) 3 (d) 1
  15. 15.What comes next? 21, 27, 33, 39, 45, ? (a) 51 (b) 52 (c) 50 (d) 57
  16. 16.What comes next? 15, 21, 27, 33, 39, ? (a) 44 (b) 45 (c) 51 (d) 46
  17. 17.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 28 (d) 30
  18. 18.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  20. 20.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 42 (c) 41 (d) 40
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  22. 22.What comes next? 19, 30, 41, 52, 63, ? (a) 73 (b) 75 (c) 85 (d) 74
  23. 23.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 27 (c) 25 (d) 26
  24. 24.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 34 (d) 35
  25. 25.What comes next? 13, 24, 35, 46, 57, ? (a) 79 (b) 68 (c) 69 (d) 67
  26. 26.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 27 (b) 32 (c) 28 (d) 35
  27. 27.What comes next? 25, 36, 47, 58, 69, ? (a) 80 (b) 91 (c) 81 (d) 79
  28. 28.What comes next? 56, 48, 40, 32, 24, ? (a) 15 (b) 8 (c) 17 (d) 16
  29. 29.What comes next? 19, 25, 31, 37, 43, ? (a) 48 (b) 49 (c) 55 (d) 50
  30. 30.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 8 (c) 4 (d) 3
  31. 31.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 8 (c) 4 (d) 7
  32. 32.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 13 (c) 5 (d) 6
  33. 33.What comes next? 15, 24, 18, 27, 21, 30, ? (a) 39 (b) 36 (c) 23 (d) 24
  34. 34.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 21 (b) 12 (c) 23 (d) 13
  35. 35.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 30 (b) 22 (c) 29 (d) 23
  36. 36.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 9 (b) 8 (c) 19 (d) 20
  37. 37.What comes next? 12, 20, 28, 36, 44, ? (a) 52 (b) 53 (c) 51 (d) 60
  38. 38.What comes next? 8, 16, 24, 32, 40, ? (a) 47 (b) 56 (c) 49 (d) 48
  39. 39.What comes next? 19, 29, 39, 49, 59, ? (a) 70 (b) 68 (c) 79 (d) 69
  40. 40.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 41 (c) 42 (d) 44

Answer key

  1. 128
  2. 44
  3. 60
  4. 243
  5. 192
  6. 96
  7. 64
  8. 47
  9. 26
  10. 11
  11. 10
  12. 32
  13. 5
  14. 1
  15. 51
  16. 45
  17. 28
  18. 31
  19. 81
  20. 40
  21. 162
  22. 74
  23. 26
  24. 33
  25. 68
  26. 28
  27. 80
  28. 16
  29. 49
  30. 4
  31. 7
  32. 6
  33. 24
  34. 13
  35. 23
  36. 9
  37. 52
  38. 48
  39. 69
  40. 41

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