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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 997 · 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? 24, 33, 42, 51, 60, ? (a) 68 (b) 78 (c) 69 (d) 70
  2. 2.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 31 (c) 30 (d) 29
  3. 3.What comes next? 17, 26, 21, 30, 25, 34, ? (a) 39 (b) 29 (c) 28 (d) 43
  4. 4.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 29 (c) 30 (d) 31
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  6. 6.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 34 (c) 35 (d) 33
  7. 7.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 4 (c) 5 (d) 6
  8. 8.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 29 (d) 30
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  10. 10.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 30 (d) 32
  11. 11.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 35 (c) 36 (d) 37
  12. 12.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 40 (c) 41 (d) 39
  13. 13.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 9 (c) 7 (d) 8
  14. 14.What comes next? 6, 13, 11, 18, 16, 23, ? (a) 30 (b) 21 (c) 25 (d) 20
  15. 15.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 33 (c) 37 (d) 31
  16. 16.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 48 (c) 47 (d) 50
  17. 17.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 85 (c) 86 (d) 84
  18. 18.What comes next? 30, 32, 34, 36, 38, ? (a) 39 (b) 41 (c) 42 (d) 40
  19. 19.What comes next? 4, 11, 9, 16, 14, 21, ? (a) 28 (b) 19 (c) 23 (d) 18
  20. 20.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 51 (c) 46 (d) 47
  21. 21.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 79 (c) 78 (d) 89
  22. 22.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 64 (c) 65 (d) 75
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  24. 24.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 33 (b) 30 (c) 38 (d) 31
  25. 25.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 16 (d) 17
  26. 26.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 4 (c) 5 (d) 3
  27. 27.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 21 (c) 20 (d) 22
  28. 28.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 4 (c) 3 (d) 2
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  31. 31.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  32. 32.What comes next? 45, 39, 33, 27, 21, ? (a) 16 (b) 14 (c) 15 (d) 9
  33. 33.What comes next? 27, 36, 45, 54, 63, ? (a) 81 (b) 73 (c) 71 (d) 72
  34. 34.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 27 (b) 31 (c) 26 (d) 38
  35. 35.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 20 (c) 22 (d) 19
  36. 36.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 37 (c) 39 (d) 36
  37. 37.What comes next? 10, 19, 16, 25, 22, 31, ? (a) 34 (b) 40 (c) 27 (d) 28
  38. 38.What comes next? 4, 9, 14, 19, 24, ? (a) 29 (b) 34 (c) 30 (d) 28
  39. 39.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 15 (c) 14 (d) 10
  40. 40.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 21 (b) 23 (c) 20 (d) 26

Answer key

  1. 69
  2. 29
  3. 29
  4. 30
  5. 162
  6. 34
  7. 5
  8. 28
  9. 64
  10. 31
  11. 36
  12. 39
  13. 8
  14. 21
  15. 32
  16. 48
  17. 85
  18. 40
  19. 19
  20. 47
  21. 78
  22. 64
  23. 243
  24. 31
  25. 17
  26. 3
  27. 21
  28. 3
  29. 32
  30. 96
  31. 128
  32. 15
  33. 72
  34. 27
  35. 20
  36. 37
  37. 28
  38. 29
  39. 10
  40. 21

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