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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 841 · 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? 4, 13, 11, 20, 18, 27, ? (a) 24 (b) 36 (c) 29 (d) 25
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  3. 3.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 48 (c) 44 (d) 43
  4. 4.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 7 (b) 20 (c) 6 (d) 19
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  6. 6.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 12 (c) 11 (d) 10
  7. 7.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 4 (c) 5 (d) 3
  8. 8.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 79 (c) 67 (d) 69
  9. 9.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 3 (c) 5 (d) 4
  10. 10.What comes next? 17, 24, 21, 28, 25, 32, ? (a) 35 (b) 29 (c) 28 (d) 39
  11. 11.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 17 (d) 18
  12. 12.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 12 (c) 14 (d) 13
  13. 13.What comes next? 12, 21, 30, 39, 48, ? (a) 58 (b) 57 (c) 66 (d) 56
  14. 14.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 23 (b) 19 (c) 13 (d) 12
  15. 15.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 35 (c) 37 (d) 34
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  17. 17.What comes next? 2, 12, 22, 32, 42, ? (a) 53 (b) 62 (c) 52 (d) 51
  18. 18.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 25 (b) 31 (c) 33 (d) 24
  19. 19.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 16 (c) 14 (d) 15
  20. 20.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 13 (b) 12 (c) 20 (d) 19
  21. 21.What comes next? 43, 37, 31, 25, 19, ? (a) 14 (b) 12 (c) 13 (d) 7
  22. 22.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 6 (c) 7 (d) 5
  23. 23.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 3 (c) 5 (d) 6
  24. 24.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 42 (c) 44 (d) 41
  25. 25.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  27. 27.What comes next? 21, 25, 29, 33, 37, ? (a) 41 (b) 45 (c) 40 (d) 42
  28. 28.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 16 (b) 20 (c) 15 (d) 24
  29. 29.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 6 (d) 5
  30. 30.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 16 (d) 18
  31. 31.What comes next? 17, 19, 21, 23, 25, ? (a) 26 (b) 27 (c) 29 (d) 28
  32. 32.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 19 (b) 17 (c) 10 (d) 11
  33. 33.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 22 (c) 25 (d) 20
  34. 34.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  35. 35.What comes next? 19, 28, 26, 35, 33, 42, ? (a) 39 (b) 44 (c) 51 (d) 40
  36. 36.What comes next? 5, 13, 12, 20, 19, 27, ? (a) 35 (b) 25 (c) 28 (d) 26
  37. 37.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  38. 38.What comes next? 16, 27, 38, 49, 60, ? (a) 72 (b) 71 (c) 82 (d) 70
  39. 39.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 8 (c) 14 (d) 12
  40. 40.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 36 (d) 34

Answer key

  1. 25
  2. 243
  3. 44
  4. 7
  5. 96
  6. 11
  7. 3
  8. 68
  9. 4
  10. 29
  11. 17
  12. 13
  13. 57
  14. 13
  15. 35
  16. 128
  17. 52
  18. 25
  19. 15
  20. 13
  21. 13
  22. 6
  23. 4
  24. 42
  25. 162
  26. 64
  27. 41
  28. 16
  29. 5
  30. 16
  31. 27
  32. 11
  33. 20
  34. 32
  35. 40
  36. 26
  37. 192
  38. 71
  39. 8
  40. 35

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