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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 740 · 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? 18, 26, 34, 42, 50, ? (a) 59 (b) 66 (c) 58 (d) 57
  2. 2.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 33 (c) 32 (d) 31
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  4. 4.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 16 (b) 4 (c) 3 (d) 17
  5. 5.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  7. 7.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 40 (c) 48 (d) 41
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  9. 9.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 28 (c) 26 (d) 25
  10. 10.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 5 (c) 4 (d) 6
  11. 11.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 39 (c) 40 (d) 38
  12. 12.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 12 (c) 14 (d) 10
  13. 13.What comes next? 36, 30, 24, 18, 12, ? (a) 6 (b) 5 (c) 8 (d) 7
  14. 14.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 32 (c) 34 (d) 35
  15. 15.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 17 (c) 16 (d) 18
  16. 16.What comes next? 15, 23, 21, 29, 27, 35, ? (a) 33 (b) 43 (c) 32 (d) 37
  17. 17.What comes next? 59, 51, 43, 35, 27, ? (a) 11 (b) 19 (c) 20 (d) 18
  18. 18.What comes next? 29, 40, 51, 62, 73, ? (a) 83 (b) 85 (c) 95 (d) 84
  19. 19.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 8 (c) 14 (d) 15
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  21. 21.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 26 (b) 20 (c) 21 (d) 25
  22. 22.What comes next? 50, 41, 32, 23, 14, ? (a) 5 (b) 4 (c) 6 (d) 7
  23. 23.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 43 (c) 42 (d) 46
  24. 24.What comes next? 9, 16, 11, 18, 13, 20, ? (a) 15 (b) 14 (c) 25 (d) 27
  25. 25.What comes next? 31, 27, 23, 19, 15, ? (a) 12 (b) 7 (c) 11 (d) 10
  26. 26.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 20 (c) 21 (d) 22
  27. 27.What comes next? 48, 44, 40, 36, 32, ? (a) 27 (b) 24 (c) 29 (d) 28
  28. 28.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 22 (c) 25 (d) 23
  29. 29.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 17 (c) 15 (d) 16
  30. 30.What comes next? 25, 33, 41, 49, 57, ? (a) 66 (b) 64 (c) 65 (d) 73
  31. 31.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 6 (c) 3 (d) 4
  32. 32.What comes next? 8, 18, 28, 38, 48, ? (a) 59 (b) 57 (c) 68 (d) 58
  33. 33.What comes next? 46, 40, 34, 28, 22, ? (a) 15 (b) 10 (c) 17 (d) 16
  34. 34.What comes next? 8, 15, 22, 29, 36, ? (a) 43 (b) 50 (c) 42 (d) 44
  35. 35.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 19 (d) 18
  36. 36.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 2 (c) 5 (d) 4
  37. 37.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 36 (d) 37
  38. 38.What comes next? 30, 39, 48, 57, 66, ? (a) 76 (b) 84 (c) 74 (d) 75
  39. 39.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 15 (b) 19 (c) 22 (d) 14
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45

Answer key

  1. 58
  2. 31
  3. 64
  4. 4
  5. 26
  6. 243
  7. 41
  8. 162
  9. 26
  10. 5
  11. 38
  12. 10
  13. 6
  14. 33
  15. 16
  16. 33
  17. 19
  18. 84
  19. 15
  20. 128
  21. 21
  22. 5
  23. 43
  24. 15
  25. 11
  26. 21
  27. 28
  28. 23
  29. 16
  30. 65
  31. 4
  32. 58
  33. 16
  34. 43
  35. 19
  36. 3
  37. 37
  38. 75
  39. 15
  40. 81

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