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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 355 · 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? 13, 24, 35, 46, 57, ? (a) 79 (b) 67 (c) 68 (d) 69
  2. 2.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 23 (b) 17 (c) 16 (d) 25
  3. 3.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 42 (d) 41
  4. 4.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 19 (c) 25 (d) 20
  5. 5.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 36 (c) 38 (d) 37
  6. 6.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 4 (d) 5
  7. 7.What comes next? 16, 28, 40, 52, 64, ? (a) 88 (b) 77 (c) 75 (d) 76
  8. 8.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 46 (c) 41 (d) 43
  9. 9.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 4 (c) 3 (d) 2
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  11. 11.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 29 (d) 30
  12. 12.What comes next? 62, 53, 44, 35, 26, ? (a) 18 (b) 16 (c) 17 (d) 8
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  15. 15.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 32 (b) 40 (c) 31 (d) 36
  16. 16.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 25 (c) 21 (d) 23
  17. 17.What comes next? 28, 37, 46, 55, 64, ? (a) 82 (b) 72 (c) 73 (d) 74
  18. 18.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 28 (c) 26 (d) 27
  19. 19.What comes next? 50, 45, 40, 35, 30, ? (a) 26 (b) 24 (c) 20 (d) 25
  20. 20.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 96 (c) 84 (d) 85
  21. 21.What comes next? 38, 33, 28, 23, 18, ? (a) 8 (b) 14 (c) 13 (d) 12
  22. 22.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 21 (b) 10 (c) 23 (d) 11
  23. 23.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 78 (c) 79 (d) 80
  24. 24.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 31 (d) 30
  25. 25.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 18 (d) 17
  26. 26.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 18 (c) 12 (d) 16
  27. 27.What comes next? 73, 64, 55, 46, 37, ? (a) 19 (b) 29 (c) 28 (d) 27
  28. 28.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 31 (c) 33 (d) 30
  29. 29.What comes next? 33, 31, 29, 27, 25, ? (a) 23 (b) 24 (c) 22 (d) 21
  30. 30.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  31. 31.What comes next? 20, 23, 26, 29, 32, ? (a) 36 (b) 38 (c) 34 (d) 35
  32. 32.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 21 (b) 29 (c) 20 (d) 25
  33. 33.What comes next? 8, 16, 9, 17, 10, 18, ? (a) 26 (b) 10 (c) 11 (d) 25
  34. 34.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 41 (c) 40 (d) 42
  35. 35.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 17 (c) 25 (d) 26
  36. 36.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 7 (c) 5 (d) 3
  37. 37.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 25 (b) 35 (c) 26 (d) 30
  38. 38.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 19 (c) 20 (d) 21
  39. 39.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 23 (b) 18 (c) 20 (d) 17
  40. 40.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 23 (d) 24

Answer key

  1. 68
  2. 17
  3. 41
  4. 20
  5. 36
  6. 5
  7. 76
  8. 42
  9. 3
  10. 96
  11. 28
  12. 17
  13. 32
  14. 64
  15. 32
  16. 21
  17. 73
  18. 27
  19. 25
  20. 85
  21. 13
  22. 11
  23. 79
  24. 30
  25. 18
  26. 12
  27. 28
  28. 31
  29. 23
  30. 28
  31. 35
  32. 21
  33. 11
  34. 41
  35. 25
  36. 6
  37. 26
  38. 21
  39. 18
  40. 22

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