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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 796 · 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? 2, 5, 8, 11, 14, ? (a) 18 (b) 20 (c) 17 (d) 16
  2. 2.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 37 (c) 40 (d) 39
  3. 3.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 43 (c) 42 (d) 44
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  5. 5.What comes next? 2, 7, 12, 17, 22, ? (a) 27 (b) 26 (c) 32 (d) 28
  6. 6.What comes next? 14, 25, 36, 47, 58, ? (a) 80 (b) 69 (c) 70 (d) 68
  7. 7.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 23 (c) 24 (d) 19
  8. 8.What comes next? 18, 20, 22, 24, 26, ? (a) 27 (b) 30 (c) 28 (d) 29
  9. 9.What comes next? 23, 30, 37, 44, 51, ? (a) 58 (b) 65 (c) 59 (d) 57
  10. 10.What comes next? 38, 32, 26, 20, 14, ? (a) 8 (b) 7 (c) 2 (d) 9
  11. 11.What comes next? 2, 13, 24, 35, 46, ? (a) 57 (b) 58 (c) 68 (d) 56
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  13. 13.What comes next? 25, 36, 47, 58, 69, ? (a) 79 (b) 81 (c) 80 (d) 91
  14. 14.What comes next? 15, 18, 21, 24, 27, ? (a) 33 (b) 31 (c) 29 (d) 30
  15. 15.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31
  16. 16.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 22 (b) 27 (c) 29 (d) 23
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  18. 18.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 3 (c) 5 (d) 4
  19. 19.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 24 (b) 20 (c) 15 (d) 16
  20. 20.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 23 (d) 24
  21. 21.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 33 (b) 31 (c) 37 (d) 30
  22. 22.What comes next? 29, 35, 41, 47, 53, ? (a) 58 (b) 65 (c) 60 (d) 59
  23. 23.What comes next? 36, 34, 32, 30, 28, ? (a) 24 (b) 27 (c) 26 (d) 25
  24. 24.What comes next? 20, 28, 27, 35, 34, 42, ? (a) 43 (b) 40 (c) 50 (d) 41
  25. 25.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 8 (d) 10
  26. 26.What comes next? 18, 21, 24, 27, 30, ? (a) 33 (b) 32 (c) 36 (d) 34
  27. 27.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 23 (c) 26 (d) 24
  28. 28.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 19 (c) 18 (d) 16
  29. 29.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 5 (c) 7 (d) 8
  30. 30.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 28 (c) 25 (d) 26
  31. 31.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 49 (d) 52
  32. 32.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 18 (b) 14 (c) 13 (d) 21
  33. 33.What comes next? 13, 21, 29, 37, 45, ? (a) 52 (b) 54 (c) 61 (d) 53
  34. 34.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 35 (c) 37 (d) 34
  35. 35.What comes next? 15, 22, 18, 25, 21, 28, ? (a) 35 (b) 23 (c) 24 (d) 32
  36. 36.What comes next? 4, 7, 10, 13, 16, ? (a) 19 (b) 22 (c) 18 (d) 20
  37. 37.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 36 (b) 34 (c) 33 (d) 42
  38. 38.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 31 (b) 28 (c) 15 (d) 16
  39. 39.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 18 (c) 19 (d) 21
  40. 40.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 11 (d) 12

Answer key

  1. 17
  2. 38
  3. 43
  4. 162
  5. 27
  6. 69
  7. 23
  8. 28
  9. 58
  10. 8
  11. 57
  12. 96
  13. 80
  14. 30
  15. 32
  16. 23
  17. 64
  18. 4
  19. 16
  20. 23
  21. 31
  22. 59
  23. 26
  24. 41
  25. 8
  26. 33
  27. 25
  28. 19
  29. 6
  30. 26
  31. 50
  32. 14
  33. 53
  34. 35
  35. 24
  36. 19
  37. 34
  38. 16
  39. 19
  40. 12

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