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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 834 · 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? 11, 19, 13, 21, 15, 23, ? (a) 31 (b) 17 (c) 29 (d) 16
  2. 2.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 51 (d) 58
  3. 3.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 101 (c) 90 (d) 89
  4. 4.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 36 (d) 35
  5. 5.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 9 (c) 8 (d) 7
  6. 6.What comes next? 22, 26, 30, 34, 38, ? (a) 41 (b) 46 (c) 42 (d) 43
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  8. 8.What comes next? 15, 22, 29, 36, 43, ? (a) 49 (b) 57 (c) 50 (d) 51
  9. 9.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 37 (c) 39 (d) 38
  10. 10.What comes next? 18, 30, 42, 54, 66, ? (a) 77 (b) 79 (c) 78 (d) 90
  11. 11.What comes next? 14, 19, 16, 21, 18, 23, ? (a) 28 (b) 26 (c) 19 (d) 20
  12. 12.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 16 (b) 15 (c) 5 (d) 4
  13. 13.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  14. 14.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 42 (c) 41 (d) 43
  15. 15.What comes next? 15, 21, 16, 22, 17, 23, ? (a) 17 (b) 18 (c) 29 (d) 28
  16. 16.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 40 (c) 39 (d) 47
  17. 17.What comes next? 13, 22, 31, 40, 49, ? (a) 59 (b) 57 (c) 58 (d) 67
  18. 18.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  19. 19.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 56 (c) 58 (d) 57
  20. 20.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 19 (c) 21 (d) 22
  21. 21.What comes next? 44, 40, 36, 32, 28, ? (a) 24 (b) 23 (c) 25 (d) 20
  22. 22.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  23. 23.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  24. 24.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 18 (c) 16 (d) 17
  25. 25.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 15 (c) 8 (d) 16
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  27. 27.What comes next? 22, 34, 46, 58, 70, ? (a) 81 (b) 82 (c) 83 (d) 94
  28. 28.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 23 (b) 15 (c) 16 (d) 22
  29. 29.What comes next? 41, 38, 35, 32, 29, ? (a) 25 (b) 26 (c) 27 (d) 23
  30. 30.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 17 (c) 15 (d) 18
  31. 31.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 29 (c) 31 (d) 30
  32. 32.What comes next? 12, 19, 26, 33, 40, ? (a) 47 (b) 48 (c) 54 (d) 46
  33. 33.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 32 (c) 33 (d) 34
  34. 34.What comes next? 19, 26, 21, 28, 23, 30, ? (a) 24 (b) 25 (c) 35 (d) 37
  35. 35.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  36. 36.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 2 (c) 10 (d) 11
  37. 37.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  39. 39.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 33 (c) 30 (d) 32
  40. 40.What comes next? 30, 40, 50, 60, 70, ? (a) 90 (b) 79 (c) 81 (d) 80

Answer key

  1. 17
  2. 50
  3. 89
  4. 34
  5. 8
  6. 42
  7. 81
  8. 50
  9. 38
  10. 78
  11. 20
  12. 5
  13. 162
  14. 42
  15. 18
  16. 40
  17. 58
  18. 28
  19. 57
  20. 20
  21. 24
  22. 243
  23. 23
  24. 17
  25. 9
  26. 32
  27. 82
  28. 16
  29. 26
  30. 16
  31. 29
  32. 47
  33. 32
  34. 25
  35. 128
  36. 11
  37. 28
  38. 160
  39. 31
  40. 80

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