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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 459 · 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, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  2. 2.What comes next? 19, 29, 39, 49, 59, ? (a) 79 (b) 70 (c) 69 (d) 68
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  4. 4.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 25 (c) 26 (d) 27
  5. 5.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 61 (c) 62 (d) 60
  6. 6.What comes next? 1, 10, 7, 16, 13, 22, ? (a) 31 (b) 19 (c) 25 (d) 18
  7. 7.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 43 (d) 42
  8. 8.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 19 (d) 23
  9. 9.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 13 (b) 14 (c) 7 (d) 6
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  11. 11.What comes next? 6, 12, 18, 24, 30, ? (a) 37 (b) 36 (c) 42 (d) 35
  12. 12.What comes next? 17, 23, 29, 35, 41, ? (a) 48 (b) 47 (c) 46 (d) 53
  13. 13.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 30 (c) 29 (d) 28
  14. 14.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 46 (c) 44 (d) 45
  15. 15.What comes next? 6, 12, 9, 15, 12, 18, ? (a) 24 (b) 15 (c) 14 (d) 21
  16. 16.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  17. 17.What comes next? 9, 17, 12, 20, 15, 23, ? (a) 28 (b) 31 (c) 17 (d) 18
  18. 18.What comes next? 3, 12, 21, 30, 39, ? (a) 47 (b) 49 (c) 48 (d) 57
  19. 19.What comes next? 8, 16, 10, 18, 12, 20, ? (a) 26 (b) 28 (c) 13 (d) 14
  20. 20.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  21. 21.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 21 (b) 27 (c) 26 (d) 22
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 17 (c) 18 (d) 19
  23. 23.What comes next? 18, 27, 36, 45, 54, ? (a) 63 (b) 62 (c) 64 (d) 72
  24. 24.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 45 (d) 48
  25. 25.What comes next? 59, 50, 41, 32, 23, ? (a) 13 (b) 15 (c) 5 (d) 14
  26. 26.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 8 (d) 9
  27. 27.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 30 (c) 31 (d) 29
  28. 28.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 44 (d) 39
  29. 29.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 28 (b) 20 (c) 22 (d) 19
  30. 30.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 22 (c) 21 (d) 23
  31. 31.What comes next? 30, 33, 36, 39, 42, ? (a) 44 (b) 46 (c) 45 (d) 48
  32. 32.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 24 (c) 21 (d) 23
  33. 33.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 38 (c) 40 (d) 39
  34. 34.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 48 (d) 47
  35. 35.What comes next? 21, 29, 37, 45, 53, ? (a) 60 (b) 62 (c) 69 (d) 61
  36. 36.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 44 (c) 45 (d) 46
  37. 37.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 6 (d) 5
  38. 38.What comes next? 17, 25, 23, 31, 29, 37, ? (a) 34 (b) 35 (c) 39 (d) 45
  39. 39.What comes next? 55, 49, 43, 37, 31, ? (a) 25 (b) 26 (c) 19 (d) 24
  40. 40.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 60 (c) 61 (d) 71

Answer key

  1. 64
  2. 69
  3. 162
  4. 26
  5. 61
  6. 19
  7. 42
  8. 22
  9. 7
  10. 81
  11. 36
  12. 47
  13. 29
  14. 44
  15. 15
  16. 26
  17. 18
  18. 48
  19. 14
  20. 3
  21. 22
  22. 17
  23. 63
  24. 46
  25. 14
  26. 9
  27. 30
  28. 39
  29. 20
  30. 22
  31. 45
  32. 23
  33. 38
  34. 48
  35. 61
  36. 45
  37. 5
  38. 35
  39. 25
  40. 61

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