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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 769 · 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? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 27 (d) 26
  2. 2.What comes next? 38, 34, 30, 26, 22, ? (a) 19 (b) 18 (c) 17 (d) 14
  3. 3.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 52 (c) 51 (d) 60
  4. 4.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  5. 5.What comes next? 11, 19, 18, 26, 25, 33, ? (a) 34 (b) 31 (c) 41 (d) 32
  6. 6.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 41 (c) 43 (d) 42
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  8. 8.What comes next? 26, 28, 30, 32, 34, ? (a) 38 (b) 35 (c) 36 (d) 37
  9. 9.What comes next? 16, 28, 40, 52, 64, ? (a) 75 (b) 77 (c) 76 (d) 88
  10. 10.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 29 (d) 28
  11. 11.What comes next? 5, 12, 6, 13, 7, 14, ? (a) 20 (b) 21 (c) 7 (d) 8
  12. 12.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 17 (b) 10 (c) 18 (d) 11
  13. 13.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 29 (c) 27 (d) 30
  14. 14.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 32 (d) 30
  15. 15.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 19 (d) 20
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  17. 17.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 15 (b) 26 (c) 27 (d) 16
  18. 18.What comes next? 25, 30, 35, 40, 45, ? (a) 51 (b) 50 (c) 49 (d) 55
  19. 19.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 41 (c) 39 (d) 38
  20. 20.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 13 (c) 15 (d) 12
  21. 21.What comes next? 18, 23, 21, 26, 24, 29, ? (a) 26 (b) 34 (c) 31 (d) 27
  22. 22.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 35 (d) 36
  23. 23.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 15 (c) 25 (d) 24
  24. 24.What comes next? 14, 19, 16, 21, 18, 23, ? (a) 26 (b) 28 (c) 19 (d) 20
  25. 25.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 26 (c) 31 (d) 28
  26. 26.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 25 (d) 24
  27. 27.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 43 (c) 46 (d) 44
  28. 28.What comes next? 10, 22, 34, 46, 58, ? (a) 69 (b) 71 (c) 70 (d) 82
  29. 29.What comes next? 1, 7, 5, 11, 9, 15, ? (a) 13 (b) 21 (c) 12 (d) 17
  30. 30.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 25 (c) 18 (d) 26
  31. 31.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  32. 32.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 13 (b) 18 (c) 14 (d) 19
  33. 33.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 19 (b) 12 (c) 13 (d) 17
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  35. 35.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 17 (b) 10 (c) 9 (d) 16
  36. 36.What comes next? 15, 22, 29, 36, 43, ? (a) 49 (b) 51 (c) 57 (d) 50
  37. 37.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 56 (c) 58 (d) 57
  38. 38.What comes next? 15, 27, 39, 51, 63, ? (a) 76 (b) 87 (c) 75 (d) 74
  39. 39.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 10 (c) 14 (d) 12
  40. 40.What comes next? 2, 10, 18, 26, 34, ? (a) 50 (b) 42 (c) 41 (d) 43

Answer key

  1. 25
  2. 18
  3. 51
  4. 17
  5. 32
  6. 42
  7. 64
  8. 36
  9. 76
  10. 29
  11. 8
  12. 11
  13. 29
  14. 30
  15. 18
  16. 81
  17. 16
  18. 50
  19. 39
  20. 13
  21. 27
  22. 36
  23. 24
  24. 20
  25. 27
  26. 25
  27. 43
  28. 70
  29. 13
  30. 26
  31. 128
  32. 14
  33. 13
  34. 96
  35. 10
  36. 50
  37. 57
  38. 75
  39. 10
  40. 42

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