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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 806 · 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, 20, 23, 27, 32, ? (a) 37 (b) 38 (c) 40 (d) 39
  2. 2.What comes next? 6, 10, 14, 18, 22, ? (a) 25 (b) 27 (c) 26 (d) 30
  3. 3.What comes next? 28, 25, 22, 19, 16, ? (a) 10 (b) 12 (c) 13 (d) 14
  4. 4.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 16 (c) 12 (d) 18
  5. 5.What comes next? 22, 32, 42, 52, 62, ? (a) 82 (b) 73 (c) 71 (d) 72
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  8. 8.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 34 (c) 35 (d) 36
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  10. 10.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 7 (c) 8 (d) 6
  11. 11.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 23 (b) 22 (c) 29 (d) 27
  12. 12.What comes next? 14, 16, 18, 20, 22, ? (a) 26 (b) 23 (c) 24 (d) 25
  13. 13.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 31 (b) 22 (c) 25 (d) 23
  14. 14.What comes next? 3, 8, 13, 18, 23, ? (a) 28 (b) 27 (c) 33 (d) 29
  15. 15.What comes next? 5, 15, 25, 35, 45, ? (a) 55 (b) 65 (c) 56 (d) 54
  16. 16.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 7 (b) 6 (c) 14 (d) 13
  17. 17.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 71 (c) 70 (d) 78
  18. 18.What comes next? 70, 62, 54, 46, 38, ? (a) 30 (b) 22 (c) 31 (d) 29
  19. 19.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 28 (d) 26
  20. 20.What comes next? 26, 31, 36, 41, 46, ? (a) 56 (b) 52 (c) 50 (d) 51
  21. 21.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 28 (c) 29 (d) 27
  22. 22.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 35 (c) 29 (d) 30
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  24. 24.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 40 (c) 38 (d) 39
  25. 25.What comes next? 28, 23, 18, 13, 8, ? (a) 4 (b) 2 (c) 5 (d) 3
  26. 26.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 11 (c) 15 (d) 10
  27. 27.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 9 (b) 18 (c) 10 (d) 16
  28. 28.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 43 (d) 42
  29. 29.What comes next? 45, 39, 33, 27, 21, ? (a) 15 (b) 9 (c) 16 (d) 14
  30. 30.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  31. 31.What comes next? 41, 38, 35, 32, 29, ? (a) 23 (b) 25 (c) 26 (d) 27
  32. 32.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  33. 33.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 33 (d) 34
  34. 34.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 21 (b) 7 (c) 6 (d) 19
  35. 35.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 31 (d) 32
  36. 36.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 17 (c) 16 (d) 18
  37. 37.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 30 (d) 29
  38. 38.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  39. 39.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 42 (d) 41
  40. 40.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 23 (b) 14 (c) 15 (d) 21

Answer key

  1. 38
  2. 26
  3. 13
  4. 12
  5. 72
  6. 243
  7. 162
  8. 34
  9. 81
  10. 7
  11. 23
  12. 24
  13. 23
  14. 28
  15. 55
  16. 7
  17. 70
  18. 30
  19. 26
  20. 51
  21. 27
  22. 30
  23. 128
  24. 39
  25. 3
  26. 11
  27. 10
  28. 41
  29. 15
  30. 64
  31. 26
  32. 33
  33. 33
  34. 7
  35. 31
  36. 17
  37. 29
  38. 9
  39. 42
  40. 15

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