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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 907 · 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? 49, 42, 35, 28, 21, ? (a) 7 (b) 15 (c) 13 (d) 14
  2. 2.What comes next? 28, 37, 46, 55, 64, ? (a) 72 (b) 74 (c) 82 (d) 73
  3. 3.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 28 (c) 26 (d) 25
  4. 4.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 44 (d) 46
  5. 5.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 9 (c) 4 (d) 7
  6. 6.What comes next? 15, 27, 39, 51, 63, ? (a) 74 (b) 76 (c) 75 (d) 87
  7. 7.What comes next? 9, 16, 14, 21, 19, 26, ? (a) 33 (b) 23 (c) 28 (d) 24
  8. 8.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 91 (c) 79 (d) 80
  9. 9.What comes next? 69, 61, 53, 45, 37, ? (a) 29 (b) 30 (c) 21 (d) 28
  10. 10.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 27 (b) 34 (c) 22 (d) 23
  11. 11.What comes next? 5, 10, 15, 20, 25, ? (a) 35 (b) 29 (c) 31 (d) 30
  12. 12.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  13. 13.What comes next? 69, 60, 51, 42, 33, ? (a) 24 (b) 15 (c) 23 (d) 25
  14. 14.What comes next? 25, 33, 41, 49, 57, ? (a) 64 (b) 66 (c) 73 (d) 65
  15. 15.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 63 (c) 64 (d) 62
  16. 16.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 61 (c) 59 (d) 60
  17. 17.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 68 (c) 58 (d) 59
  18. 18.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 38 (d) 37
  19. 19.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 32 (c) 31 (d) 29
  20. 20.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 36 (c) 37 (d) 38
  21. 21.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 2 (c) 5 (d) 3
  22. 22.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 4 (c) 3 (d) 2
  23. 23.What comes next? 38, 33, 28, 23, 18, ? (a) 13 (b) 14 (c) 12 (d) 8
  24. 24.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 46 (c) 45 (d) 47
  25. 25.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  26. 26.What comes next? 49, 45, 41, 37, 33, ? (a) 25 (b) 29 (c) 30 (d) 28
  27. 27.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 38 (d) 36
  28. 28.What comes next? 5, 9, 13, 17, 21, ? (a) 24 (b) 26 (c) 25 (d) 29
  29. 29.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 20 (d) 19
  30. 30.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 31 (d) 32
  31. 31.What comes next? 54, 46, 38, 30, 22, ? (a) 13 (b) 6 (c) 14 (d) 15
  32. 32.What comes next? 11, 22, 33, 44, 55, ? (a) 67 (b) 66 (c) 77 (d) 65
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  34. 34.What comes next? 54, 48, 42, 36, 30, ? (a) 24 (b) 18 (c) 25 (d) 23
  35. 35.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 19 (c) 16 (d) 18
  36. 36.What comes next? 15, 17, 19, 21, 23, ? (a) 26 (b) 27 (c) 24 (d) 25
  37. 37.What comes next? 4, 12, 5, 13, 6, 14, ? (a) 22 (b) 7 (c) 6 (d) 21
  38. 38.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 8 (c) 7 (d) 6
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  40. 40.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41

Answer key

  1. 14
  2. 73
  3. 27
  4. 44
  5. 8
  6. 75
  7. 24
  8. 80
  9. 29
  10. 23
  11. 30
  12. 27
  13. 24
  14. 65
  15. 63
  16. 60
  17. 58
  18. 38
  19. 30
  20. 36
  21. 3
  22. 2
  23. 13
  24. 45
  25. 192
  26. 29
  27. 36
  28. 25
  29. 18
  30. 32
  31. 14
  32. 66
  33. 162
  34. 24
  35. 17
  36. 25
  37. 7
  38. 7
  39. 128
  40. 41

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