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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 631 · 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? 17, 22, 27, 32, 37, ? (a) 43 (b) 41 (c) 47 (d) 42
  2. 2.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 46 (c) 45 (d) 49
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  4. 4.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 4 (c) 3 (d) 2
  5. 5.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  6. 6.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 30 (b) 26 (c) 25 (d) 28
  7. 7.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 52 (c) 50 (d) 51
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  9. 9.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 41 (c) 44 (d) 42
  10. 10.What comes next? 56, 47, 38, 29, 20, ? (a) 10 (b) 2 (c) 11 (d) 12
  11. 11.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 26 (b) 25 (c) 20 (d) 21
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  13. 13.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 17 (c) 22 (d) 18
  14. 14.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 34 (d) 31
  15. 15.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 6 (c) 5 (d) 7
  16. 16.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 31 (c) 37 (d) 32
  17. 17.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 25 (c) 23 (d) 26
  18. 18.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 32 (c) 33 (d) 35
  19. 19.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 28 (c) 31 (d) 29
  20. 20.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 29 (c) 30 (d) 27
  21. 21.What comes next? 13, 25, 37, 49, 61, ? (a) 85 (b) 73 (c) 74 (d) 72
  22. 22.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 33 (d) 36
  23. 23.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 27 (c) 25 (d) 28
  24. 24.What comes next? 30, 28, 26, 24, 22, ? (a) 19 (b) 20 (c) 21 (d) 18
  25. 25.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 31 (c) 30 (d) 29
  26. 26.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 30 (b) 21 (c) 22 (d) 24
  27. 27.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 18 (b) 17 (c) 10 (d) 11
  28. 28.What comes next? 5, 14, 7, 16, 9, 18, ? (a) 10 (b) 25 (c) 27 (d) 11
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  30. 30.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 17 (b) 25 (c) 16 (d) 23
  31. 31.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 38 (d) 41
  32. 32.What comes next? 28, 32, 36, 40, 44, ? (a) 49 (b) 52 (c) 47 (d) 48
  33. 33.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 41 (c) 40 (d) 42
  34. 34.What comes next? 28, 34, 40, 46, 52, ? (a) 58 (b) 64 (c) 57 (d) 59
  35. 35.What comes next? 22, 34, 46, 58, 70, ? (a) 81 (b) 82 (c) 83 (d) 94
  36. 36.What comes next? 28, 33, 38, 43, 48, ? (a) 53 (b) 52 (c) 54 (d) 58
  37. 37.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 23 (c) 22 (d) 24
  38. 38.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 26 (d) 28
  39. 39.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 29 (c) 31 (d) 26
  40. 40.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 19 (b) 11 (c) 17 (d) 10

Answer key

  1. 42
  2. 45
  3. 162
  4. 3
  5. 22
  6. 26
  7. 50
  8. 192
  9. 41
  10. 11
  11. 21
  12. 96
  13. 18
  14. 32
  15. 5
  16. 32
  17. 24
  18. 33
  19. 28
  20. 28
  21. 73
  22. 34
  23. 26
  24. 20
  25. 30
  26. 22
  27. 11
  28. 11
  29. 81
  30. 17
  31. 39
  32. 48
  33. 41
  34. 58
  35. 82
  36. 53
  37. 23
  38. 26
  39. 30
  40. 11

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