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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 886 · 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, 12, 11, 20, 19, 28, ? (a) 29 (b) 26 (c) 37 (d) 27
  2. 2.What comes next? 30, 32, 34, 36, 38, ? (a) 40 (b) 39 (c) 42 (d) 41
  3. 3.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  4. 4.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 3 (b) 12 (c) 4 (d) 13
  5. 5.What comes next? 68, 59, 50, 41, 32, ? (a) 14 (b) 23 (c) 24 (d) 22
  6. 6.What comes next? 71, 62, 53, 44, 35, ? (a) 26 (b) 27 (c) 25 (d) 17
  7. 7.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 2 (c) 3 (d) 1
  8. 8.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 35 (d) 34
  9. 9.What comes next? 17, 21, 25, 29, 33, ? (a) 41 (b) 37 (c) 38 (d) 36
  10. 10.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 33 (d) 31
  11. 11.What comes next? 16, 19, 22, 25, 28, ? (a) 30 (b) 31 (c) 32 (d) 34
  12. 12.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 34 (c) 33 (d) 32
  13. 13.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 33 (c) 34 (d) 32
  14. 14.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 9 (c) 7 (d) 8
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  16. 16.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 37 (c) 35 (d) 38
  17. 17.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 51 (c) 50 (d) 48
  18. 18.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 30 (c) 27 (d) 29
  19. 19.What comes next? 43, 40, 37, 34, 31, ? (a) 27 (b) 29 (c) 28 (d) 25
  20. 20.What comes next? 19, 25, 23, 29, 27, 33, ? (a) 30 (b) 35 (c) 39 (d) 31
  21. 21.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 39 (c) 37 (d) 38
  22. 22.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  23. 23.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  24. 24.What comes next? 28, 24, 20, 16, 12, ? (a) 7 (b) 4 (c) 9 (d) 8
  25. 25.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 29 (c) 31 (d) 32
  26. 26.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 39 (c) 38 (d) 40
  27. 27.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 20 (c) 18 (d) 19
  28. 28.What comes next? 27, 34, 41, 48, 55, ? (a) 69 (b) 63 (c) 61 (d) 62
  29. 29.What comes next? 32, 29, 26, 23, 20, ? (a) 18 (b) 17 (c) 16 (d) 14
  30. 30.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 20 (c) 19 (d) 22
  31. 31.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 28 (b) 26 (c) 30 (d) 25
  32. 32.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  33. 33.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 38 (d) 40
  34. 34.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 28 (d) 30
  35. 35.What comes next? 43, 35, 27, 19, 11, ? (a) 4 (b) 5 (c) 3 (d) 2
  36. 36.What comes next? 23, 34, 45, 56, 67, ? (a) 79 (b) 89 (c) 78 (d) 77
  37. 37.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 33 (c) 39 (d) 32
  38. 38.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 18 (c) 17 (d) 22
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  40. 40.What comes next? 26, 28, 30, 32, 34, ? (a) 36 (b) 35 (c) 37 (d) 38

Answer key

  1. 27
  2. 40
  3. 28
  4. 4
  5. 23
  6. 26
  7. 1
  8. 33
  9. 37
  10. 31
  11. 31
  12. 32
  13. 33
  14. 7
  15. 243
  16. 36
  17. 49
  18. 29
  19. 28
  20. 31
  21. 37
  22. 96
  23. 162
  24. 8
  25. 30
  26. 39
  27. 18
  28. 62
  29. 17
  30. 20
  31. 26
  32. 81
  33. 38
  34. 28
  35. 3
  36. 78
  37. 33
  38. 18
  39. 128
  40. 36

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