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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 868 · 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? 19, 21, 23, 25, 27, ? (a) 31 (b) 30 (c) 29 (d) 28
  2. 2.What comes next? 3, 8, 13, 18, 23, ? (a) 33 (b) 27 (c) 28 (d) 29
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  4. 4.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 82 (c) 84 (d) 83
  5. 5.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 38 (d) 35
  6. 6.What comes next? 10, 20, 30, 40, 50, ? (a) 60 (b) 59 (c) 61 (d) 70
  7. 7.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 12 (c) 10 (d) 13
  8. 8.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 2 (c) 4 (d) 1
  9. 9.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 6 (c) 9 (d) 8
  10. 10.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 22 (c) 17 (d) 23
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  13. 13.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 22 (c) 14 (d) 23
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  15. 15.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 37 (d) 39
  16. 16.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 27 (d) 25
  17. 17.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 10 (c) 16 (d) 13
  18. 18.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 49 (c) 48 (d) 47
  19. 19.What comes next? 61, 52, 43, 34, 25, ? (a) 16 (b) 15 (c) 7 (d) 17
  20. 20.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 16 (b) 20 (c) 13 (d) 14
  21. 21.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 24 (b) 19 (c) 18 (d) 21
  22. 22.What comes next? 12, 21, 30, 39, 48, ? (a) 58 (b) 56 (c) 57 (d) 66
  23. 23.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 34 (d) 32
  24. 24.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 8 (c) 4 (d) 3
  25. 25.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 51 (c) 47 (d) 48
  26. 26.What comes next? 63, 55, 47, 39, 31, ? (a) 23 (b) 24 (c) 15 (d) 22
  27. 27.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 53 (c) 61 (d) 52
  28. 28.What comes next? 1, 9, 4, 12, 7, 15, ? (a) 20 (b) 9 (c) 23 (d) 10
  29. 29.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 31 (c) 35 (d) 32
  30. 30.What comes next? 54, 49, 44, 39, 34, ? (a) 29 (b) 30 (c) 24 (d) 28
  31. 31.What comes next? 8, 11, 14, 17, 20, ? (a) 24 (b) 26 (c) 22 (d) 23
  32. 32.What comes next? 38, 35, 32, 29, 26, ? (a) 23 (b) 20 (c) 24 (d) 22
  33. 33.What comes next? 30, 26, 22, 18, 14, ? (a) 9 (b) 10 (c) 11 (d) 6
  34. 34.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 15 (c) 10 (d) 16
  35. 35.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 43 (c) 42 (d) 41
  36. 36.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 43 (c) 40 (d) 39
  37. 37.What comes next? 5, 13, 10, 18, 15, 23, ? (a) 26 (b) 20 (c) 19 (d) 31
  38. 38.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 13 (c) 14 (d) 6
  39. 39.What comes next? 56, 50, 44, 38, 32, ? (a) 26 (b) 27 (c) 20 (d) 25
  40. 40.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21

Answer key

  1. 29
  2. 28
  3. 81
  4. 83
  5. 36
  6. 60
  7. 12
  8. 2
  9. 7
  10. 23
  11. 162
  12. 64
  13. 22
  14. 243
  15. 38
  16. 26
  17. 11
  18. 47
  19. 16
  20. 14
  21. 19
  22. 57
  23. 32
  24. 4
  25. 47
  26. 23
  27. 53
  28. 10
  29. 31
  30. 29
  31. 23
  32. 23
  33. 10
  34. 15
  35. 42
  36. 39
  37. 20
  38. 13
  39. 26
  40. 21

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