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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 867 · 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? 43, 37, 31, 25, 19, ? (a) 7 (b) 12 (c) 13 (d) 14
  2. 2.What comes next? 17, 25, 33, 41, 49, ? (a) 65 (b) 57 (c) 58 (d) 56
  3. 3.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 7 (c) 5 (d) 6
  4. 4.What comes next? 53, 48, 43, 38, 33, ? (a) 29 (b) 23 (c) 28 (d) 27
  5. 5.What comes next? 8, 15, 22, 29, 36, ? (a) 50 (b) 42 (c) 44 (d) 43
  6. 6.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 8 (c) 9 (d) 6
  7. 7.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 31 (c) 33 (d) 34
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  9. 9.What comes next? 23, 29, 35, 41, 47, ? (a) 53 (b) 52 (c) 59 (d) 54
  10. 10.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 12 (b) 11 (c) 7 (d) 6
  11. 11.What comes next? 50, 45, 40, 35, 30, ? (a) 26 (b) 20 (c) 25 (d) 24
  12. 12.What comes next? 26, 33, 40, 47, 54, ? (a) 60 (b) 68 (c) 61 (d) 62
  13. 13.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 2 (c) 4 (d) 5
  14. 14.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 11 (c) 14 (d) 13
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  16. 16.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 75 (d) 74
  17. 17.What comes next? 42, 37, 32, 27, 22, ? (a) 17 (b) 12 (c) 18 (d) 16
  18. 18.What comes next? 18, 25, 24, 31, 30, 37, ? (a) 38 (b) 44 (c) 36 (d) 35
  19. 19.What comes next? 14, 26, 38, 50, 62, ? (a) 74 (b) 86 (c) 73 (d) 75
  20. 20.What comes next? 3, 7, 11, 15, 19, ? (a) 23 (b) 22 (c) 24 (d) 27
  21. 21.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 29 (c) 28 (d) 31
  22. 22.What comes next? 3, 12, 21, 30, 39, ? (a) 57 (b) 49 (c) 47 (d) 48
  23. 23.What comes next? 22, 32, 42, 52, 62, ? (a) 71 (b) 72 (c) 82 (d) 73
  24. 24.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 21 (c) 19 (d) 20
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  26. 26.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 5 (c) 1 (d) 6
  27. 27.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 5 (c) 8 (d) 6
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  29. 29.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 14 (b) 21 (c) 15 (d) 19
  30. 30.What comes next? 63, 54, 45, 36, 27, ? (a) 9 (b) 19 (c) 17 (d) 18
  31. 31.What comes next? 29, 37, 45, 53, 61, ? (a) 70 (b) 69 (c) 77 (d) 68
  32. 32.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 21 (b) 22 (c) 12 (d) 13
  33. 33.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 3 (c) 1 (d) 2
  34. 34.What comes next? 5, 9, 13, 17, 21, ? (a) 24 (b) 26 (c) 25 (d) 29
  35. 35.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 21 (c) 20 (d) 23
  36. 36.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 49 (d) 48
  37. 37.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 23 (b) 18 (c) 20 (d) 17
  38. 38.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 4 (b) 11 (c) 5 (d) 12
  39. 39.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 42 (c) 43 (d) 40
  40. 40.What comes next? 25, 22, 19, 16, 13, ? (a) 11 (b) 9 (c) 10 (d) 7

Answer key

  1. 13
  2. 57
  3. 6
  4. 28
  5. 43
  6. 9
  7. 32
  8. 32
  9. 53
  10. 7
  11. 25
  12. 61
  13. 3
  14. 14
  15. 243
  16. 75
  17. 17
  18. 36
  19. 74
  20. 23
  21. 28
  22. 48
  23. 72
  24. 20
  25. 81
  26. 6
  27. 6
  28. 162
  29. 15
  30. 18
  31. 69
  32. 13
  33. 2
  34. 25
  35. 21
  36. 49
  37. 18
  38. 5
  39. 41
  40. 10

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