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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 985 · 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? 7, 13, 12, 18, 17, 23, ? (a) 24 (b) 22 (c) 29 (d) 21
  2. 2.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 38 (c) 36 (d) 39
  3. 3.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 21 (d) 19
  4. 4.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 22 (d) 21
  5. 5.What comes next? 17, 24, 31, 38, 45, ? (a) 52 (b) 51 (c) 59 (d) 53
  6. 6.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 28 (b) 18 (c) 19 (d) 25
  7. 7.What comes next? 12, 15, 18, 21, 24, ? (a) 27 (b) 26 (c) 30 (d) 28
  8. 8.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 10 (c) 7 (d) 8
  9. 9.What comes next? 19, 25, 22, 28, 25, 31, ? (a) 34 (b) 27 (c) 37 (d) 28
  10. 10.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 23 (b) 22 (c) 25 (d) 27
  11. 11.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 20 (c) 25 (d) 24
  12. 12.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 9 (c) 4 (d) 10
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 72 (d) 120
  14. 14.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 41 (c) 40 (d) 47
  15. 15.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 10 (b) 14 (c) 9 (d) 17
  16. 16.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 37 (c) 35 (d) 36
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  18. 18.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 1 (c) 2 (d) 3
  19. 19.What comes next? 16, 25, 34, 43, 52, ? (a) 62 (b) 70 (c) 60 (d) 61
  20. 20.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 46 (d) 48
  21. 21.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 29 (c) 32 (d) 30
  22. 22.What comes next? 19, 26, 23, 30, 27, 34, ? (a) 41 (b) 37 (c) 31 (d) 30
  23. 23.What comes next? 28, 40, 52, 64, 76, ? (a) 87 (b) 88 (c) 100 (d) 89
  24. 24.What comes next? 38, 34, 30, 26, 22, ? (a) 17 (b) 19 (c) 18 (d) 14
  25. 25.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 51 (c) 47 (d) 46
  26. 26.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 9 (b) 14 (c) 8 (d) 13
  27. 27.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 33 (c) 31 (d) 37
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  29. 29.What comes next? 13, 15, 17, 19, 21, ? (a) 23 (b) 22 (c) 24 (d) 25
  30. 30.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 5 (c) 1 (d) 6
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  32. 32.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 36 (d) 37
  33. 33.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 23 (d) 22
  34. 34.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 59 (c) 60 (d) 58
  35. 35.What comes next? 18, 21, 24, 27, 30, ? (a) 33 (b) 32 (c) 34 (d) 36
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  37. 37.What comes next? 5, 13, 12, 20, 19, 27, ? (a) 35 (b) 28 (c) 26 (d) 25
  38. 38.What comes next? 6, 13, 9, 16, 12, 19, ? (a) 15 (b) 23 (c) 26 (d) 14
  39. 39.What comes next? 49, 45, 41, 37, 33, ? (a) 28 (b) 29 (c) 30 (d) 25
  40. 40.What comes next? 5, 13, 11, 19, 17, 25, ? (a) 27 (b) 22 (c) 33 (d) 23

Answer key

  1. 22
  2. 37
  3. 19
  4. 22
  5. 52
  6. 19
  7. 27
  8. 8
  9. 28
  10. 23
  11. 20
  12. 9
  13. 96
  14. 40
  15. 10
  16. 36
  17. 243
  18. 3
  19. 61
  20. 46
  21. 30
  22. 31
  23. 88
  24. 18
  25. 47
  26. 9
  27. 32
  28. 64
  29. 23
  30. 6
  31. 81
  32. 37
  33. 23
  34. 59
  35. 33
  36. 128
  37. 26
  38. 15
  39. 29
  40. 23

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