← Number patterns: what comes next? lesson New set →

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 874 · 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? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  2. 2.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  3. 3.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 2 (c) 1 (d) 4
  4. 4.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 8 (b) 7 (c) 14 (d) 12
  5. 5.What comes next? 17, 25, 33, 41, 49, ? (a) 65 (b) 58 (c) 56 (d) 57
  6. 6.What comes next? 25, 29, 33, 37, 41, ? (a) 45 (b) 46 (c) 49 (d) 44
  7. 7.What comes next? 13, 15, 17, 19, 21, ? (a) 22 (b) 24 (c) 25 (d) 23
  8. 8.What comes next? 14, 25, 36, 47, 58, ? (a) 68 (b) 70 (c) 80 (d) 69
  9. 9.What comes next? 23, 26, 29, 32, 35, ? (a) 37 (b) 38 (c) 41 (d) 39
  10. 10.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 42 (c) 41 (d) 40
  11. 11.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 7 (b) 15 (c) 13 (d) 6
  12. 12.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 32 (b) 37 (c) 33 (d) 44
  13. 13.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 39 (c) 41 (d) 40
  14. 14.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 35 (c) 34 (d) 33
  15. 15.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 51 (c) 61 (d) 52
  16. 16.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 42 (c) 39 (d) 40
  17. 17.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 8 (c) 3 (d) 9
  18. 18.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 27 (c) 28 (d) 25
  19. 19.What comes next? 17, 26, 35, 44, 53, ? (a) 63 (b) 71 (c) 61 (d) 62
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  21. 21.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 35 (b) 25 (c) 26 (d) 30
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  23. 23.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 35 (d) 37
  24. 24.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 16 (b) 10 (c) 9 (d) 14
  25. 25.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 19 (d) 21
  26. 26.What comes next? 54, 47, 40, 33, 26, ? (a) 20 (b) 18 (c) 19 (d) 12
  27. 27.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 16 (b) 17 (c) 9 (d) 10
  28. 28.What comes next? 15, 26, 37, 48, 59, ? (a) 81 (b) 71 (c) 69 (d) 70
  29. 29.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 34 (c) 35 (d) 32
  30. 30.What comes next? 37, 34, 31, 28, 25, ? (a) 22 (b) 21 (c) 23 (d) 19
  31. 31.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 7 (c) 15 (d) 14
  32. 32.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 21 (c) 20 (d) 18
  33. 33.What comes next? 11, 21, 31, 41, 51, ? (a) 60 (b) 62 (c) 71 (d) 61
  34. 34.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 72 (c) 85 (d) 73
  35. 35.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  36. 36.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 27 (c) 26 (d) 28
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  38. 38.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 6 (d) 5
  39. 39.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 58 (c) 59 (d) 66
  40. 40.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 1 (c) 2 (d) 3

Answer key

  1. 81
  2. 21
  3. 3
  4. 8
  5. 57
  6. 45
  7. 23
  8. 69
  9. 38
  10. 41
  11. 7
  12. 33
  13. 39
  14. 34
  15. 52
  16. 40
  17. 9
  18. 26
  19. 62
  20. 192
  21. 26
  22. 64
  23. 35
  24. 10
  25. 20
  26. 19
  27. 10
  28. 70
  29. 33
  30. 22
  31. 14
  32. 19
  33. 61
  34. 73
  35. 128
  36. 26
  37. 243
  38. 4
  39. 59
  40. 2

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad