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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 927 · 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? 17, 19, 22, 26, 31, ? (a) 39 (b) 36 (c) 37 (d) 38
  2. 2.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 42 (c) 43 (d) 51
  3. 3.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 28 (c) 27 (d) 25
  4. 4.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 46 (c) 55 (d) 47
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  6. 6.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 84 (c) 85 (d) 96
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  8. 8.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 13 (b) 7 (c) 15 (d) 6
  9. 9.What comes next? 59, 52, 45, 38, 31, ? (a) 25 (b) 23 (c) 24 (d) 17
  10. 10.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  11. 11.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 25 (c) 26 (d) 24
  12. 12.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 3 (c) 5 (d) 4
  13. 13.What comes next? 19, 31, 43, 55, 67, ? (a) 79 (b) 80 (c) 78 (d) 91
  14. 14.What comes next? 11, 17, 23, 29, 35, ? (a) 42 (b) 47 (c) 40 (d) 41
  15. 15.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 36 (c) 39 (d) 37
  16. 16.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 86 (c) 88 (d) 87
  17. 17.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 1 (c) 5 (d) 4
  18. 18.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 31 (c) 29 (d) 30
  19. 19.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 29 (b) 30 (c) 32 (d) 40
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  21. 21.What comes next? 5, 11, 17, 23, 29, ? (a) 36 (b) 34 (c) 35 (d) 41
  22. 22.What comes next? 20, 29, 23, 32, 26, 35, ? (a) 28 (b) 41 (c) 29 (d) 44
  23. 23.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 25 (b) 20 (c) 21 (d) 27
  24. 24.What comes next? 63, 54, 45, 36, 27, ? (a) 17 (b) 9 (c) 19 (d) 18
  25. 25.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 40 (c) 41 (d) 38
  26. 26.What comes next? 20, 18, 16, 14, 12, ? (a) 8 (b) 10 (c) 9 (d) 11
  27. 27.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 37 (c) 36 (d) 35
  28. 28.What comes next? 72, 63, 54, 45, 36, ? (a) 28 (b) 27 (c) 26 (d) 18
  29. 29.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 28 (d) 30
  30. 30.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 16 (b) 17 (c) 21 (d) 23
  31. 31.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 20 (c) 19 (d) 13
  32. 32.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 7 (c) 8 (d) 6
  33. 33.What comes next? 30, 32, 34, 36, 38, ? (a) 39 (b) 40 (c) 42 (d) 41
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  35. 35.What comes next? 14, 23, 32, 41, 50, ? (a) 60 (b) 59 (c) 68 (d) 58
  36. 36.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 65 (c) 72 (d) 66
  37. 37.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 31 (c) 33 (d) 32
  38. 38.What comes next? 19, 23, 27, 31, 35, ? (a) 43 (b) 38 (c) 39 (d) 40
  39. 39.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 27 (c) 26 (d) 28
  40. 40.What comes next? 29, 39, 49, 59, 69, ? (a) 79 (b) 80 (c) 89 (d) 78

Answer key

  1. 37
  2. 43
  3. 26
  4. 47
  5. 128
  6. 85
  7. 162
  8. 7
  9. 24
  10. 64
  11. 25
  12. 4
  13. 79
  14. 41
  15. 37
  16. 87
  17. 4
  18. 29
  19. 30
  20. 243
  21. 35
  22. 29
  23. 21
  24. 18
  25. 39
  26. 10
  27. 36
  28. 27
  29. 28
  30. 17
  31. 20
  32. 6
  33. 40
  34. 192
  35. 59
  36. 65
  37. 31
  38. 39
  39. 27
  40. 79

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