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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 811 · 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? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  2. 2.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 27 (d) 26
  3. 3.What comes next? 2, 8, 5, 11, 8, 14, ? (a) 17 (b) 11 (c) 20 (d) 10
  4. 4.What comes next? 28, 26, 24, 22, 20, ? (a) 19 (b) 17 (c) 16 (d) 18
  5. 5.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 30 (d) 31
  6. 6.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 4 (c) 6 (d) 3
  7. 7.What comes next? 18, 30, 42, 54, 66, ? (a) 90 (b) 78 (c) 77 (d) 79
  8. 8.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 18 (b) 31 (c) 27 (d) 19
  9. 9.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 71 (c) 70 (d) 69
  10. 10.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 40 (d) 41
  11. 11.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 38 (c) 36 (d) 37
  12. 12.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 21 (b) 19 (c) 8 (d) 9
  13. 13.What comes next? 38, 36, 34, 32, 30, ? (a) 28 (b) 29 (c) 26 (d) 27
  14. 14.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 38 (c) 37 (d) 39
  15. 15.What comes next? 4, 13, 7, 16, 10, 19, ? (a) 28 (b) 13 (c) 12 (d) 25
  16. 16.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 38 (b) 31 (c) 30 (d) 33
  17. 17.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 56 (c) 48 (d) 47
  18. 18.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  19. 19.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 17 (d) 19
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  21. 21.What comes next? 26, 34, 42, 50, 58, ? (a) 65 (b) 67 (c) 74 (d) 66
  22. 22.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 53 (c) 62 (d) 54
  23. 23.What comes next? 26, 23, 20, 17, 14, ? (a) 10 (b) 12 (c) 11 (d) 8
  24. 24.What comes next? 14, 19, 17, 22, 20, 25, ? (a) 23 (b) 27 (c) 30 (d) 22
  25. 25.What comes next? 28, 39, 50, 61, 72, ? (a) 82 (b) 83 (c) 94 (d) 84
  26. 26.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 55 (c) 51 (d) 50
  27. 27.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 35 (c) 37 (d) 36
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  29. 29.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 30 (c) 23 (d) 29
  30. 30.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 7 (c) 9 (d) 8
  31. 31.What comes next? 23, 34, 45, 56, 67, ? (a) 79 (b) 78 (c) 77 (d) 89
  32. 32.What comes next? 3, 13, 23, 33, 43, ? (a) 52 (b) 54 (c) 63 (d) 53
  33. 33.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 9 (c) 8 (d) 7
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  35. 35.What comes next? 16, 25, 24, 33, 32, 41, ? (a) 50 (b) 42 (c) 39 (d) 40
  36. 36.What comes next? 8, 17, 11, 20, 14, 23, ? (a) 17 (b) 32 (c) 29 (d) 16
  37. 37.What comes next? 14, 22, 30, 38, 46, ? (a) 54 (b) 53 (c) 55 (d) 62
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  39. 39.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 33 (c) 32 (d) 30
  40. 40.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 23 (b) 29 (c) 24 (d) 26

Answer key

  1. 160
  2. 25
  3. 11
  4. 18
  5. 30
  6. 4
  7. 78
  8. 19
  9. 70
  10. 41
  11. 36
  12. 9
  13. 28
  14. 38
  15. 13
  16. 31
  17. 47
  18. 2
  19. 17
  20. 96
  21. 66
  22. 53
  23. 11
  24. 23
  25. 83
  26. 50
  27. 35
  28. 64
  29. 30
  30. 8
  31. 78
  32. 53
  33. 8
  34. 162
  35. 40
  36. 17
  37. 54
  38. 81
  39. 31
  40. 24

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