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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 634 · 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, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 23 (d) 22
  2. 2.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 39 (c) 40 (d) 42
  3. 3.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 28 (c) 27 (d) 26
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  6. 6.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 51 (c) 49 (d) 50
  7. 7.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 36 (c) 35 (d) 33
  8. 8.What comes next? 5, 12, 10, 17, 15, 22, ? (a) 24 (b) 20 (c) 19 (d) 29
  9. 9.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 5 (c) 4 (d) 6
  10. 10.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 40 (c) 38 (d) 41
  11. 11.What comes next? 10, 17, 16, 23, 22, 29, ? (a) 28 (b) 36 (c) 27 (d) 30
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  13. 13.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 4 (c) 8 (d) 6
  14. 14.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 16 (b) 13 (c) 14 (d) 18
  15. 15.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 30 (c) 27 (d) 28
  16. 16.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 36 (c) 34 (d) 39
  17. 17.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 28 (c) 29 (d) 22
  18. 18.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 25 (c) 20 (d) 19
  19. 19.What comes next? 30, 39, 48, 57, 66, ? (a) 76 (b) 74 (c) 84 (d) 75
  20. 20.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 47 (c) 45 (d) 44
  21. 21.What comes next? 24, 33, 42, 51, 60, ? (a) 68 (b) 78 (c) 69 (d) 70
  22. 22.What comes next? 18, 28, 38, 48, 58, ? (a) 68 (b) 78 (c) 69 (d) 67
  23. 23.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 26 (c) 28 (d) 25
  24. 24.What comes next? 30, 41, 52, 63, 74, ? (a) 84 (b) 86 (c) 85 (d) 96
  25. 25.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 26 (c) 22 (d) 25
  26. 26.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 34 (b) 25 (c) 26 (d) 37
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 30 (d) 29
  28. 28.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 24 (c) 21 (d) 23
  29. 29.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 30 (c) 22 (d) 31
  30. 30.What comes next? 9, 12, 15, 18, 21, ? (a) 23 (b) 27 (c) 25 (d) 24
  31. 31.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 3 (c) 10 (d) 11
  32. 32.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 47 (c) 48 (d) 50
  33. 33.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 28 (d) 30
  34. 34.What comes next? 63, 56, 49, 42, 35, ? (a) 29 (b) 27 (c) 21 (d) 28
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 19 (c) 21 (d) 22
  36. 36.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 3 (c) 8 (d) 7
  37. 37.What comes next? 13, 21, 29, 37, 45, ? (a) 52 (b) 61 (c) 53 (d) 54
  38. 38.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 21 (c) 20 (d) 19
  39. 39.What comes next? 24, 26, 28, 30, 32, ? (a) 35 (b) 36 (c) 33 (d) 34
  40. 40.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 40 (d) 38

Answer key

  1. 22
  2. 40
  3. 26
  4. 128
  5. 32
  6. 50
  7. 34
  8. 20
  9. 4
  10. 39
  11. 28
  12. 81
  13. 7
  14. 14
  15. 28
  16. 35
  17. 28
  18. 20
  19. 75
  20. 45
  21. 69
  22. 68
  23. 27
  24. 85
  25. 25
  26. 26
  27. 30
  28. 22
  29. 30
  30. 24
  31. 11
  32. 48
  33. 28
  34. 28
  35. 20
  36. 7
  37. 53
  38. 20
  39. 34
  40. 39

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