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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 65 · 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? 57, 50, 43, 36, 29, ? (a) 15 (b) 23 (c) 21 (d) 22
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  4. 4.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 31 (c) 35 (d) 33
  5. 5.What comes next? 27, 37, 47, 57, 67, ? (a) 77 (b) 87 (c) 76 (d) 78
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  7. 7.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 33 (d) 34
  8. 8.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 2 (c) 4 (d) 5
  9. 9.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 36 (d) 35
  10. 10.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 15 (c) 16 (d) 6
  11. 11.What comes next? 23, 19, 15, 11, 7, ? (a) 5 (b) 2 (c) 3 (d) 4
  12. 12.What comes next? 41, 36, 31, 26, 21, ? (a) 16 (b) 11 (c) 17 (d) 15
  13. 13.What comes next? 16, 27, 38, 49, 60, ? (a) 71 (b) 72 (c) 70 (d) 82
  14. 14.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 2 (c) 4 (d) 5
  15. 15.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 22 (d) 24
  16. 16.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 36 (d) 34
  17. 17.What comes next? 15, 27, 39, 51, 63, ? (a) 76 (b) 74 (c) 87 (d) 75
  18. 18.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 14 (c) 13 (d) 12
  19. 19.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 8 (c) 7 (d) 6
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  21. 21.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 3 (b) 4 (c) 8 (d) 9
  22. 22.What comes next? 14, 23, 32, 41, 50, ? (a) 59 (b) 60 (c) 68 (d) 58
  23. 23.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 6 (c) 4 (d) 3
  24. 24.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 8 (c) 18 (d) 16
  25. 25.What comes next? 10, 15, 20, 25, 30, ? (a) 35 (b) 40 (c) 34 (d) 36
  26. 26.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 2 (c) 1 (d) 3
  27. 27.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 16 (c) 14 (d) 15
  28. 28.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 44 (c) 45 (d) 43
  29. 29.What comes next? 10, 21, 32, 43, 54, ? (a) 66 (b) 64 (c) 76 (d) 65
  30. 30.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 4 (c) 7 (d) 5
  31. 31.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 29 (d) 30
  32. 32.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 36 (d) 38
  33. 33.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 16 (b) 21 (c) 18 (d) 15
  34. 34.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 23 (b) 30 (c) 32 (d) 24
  35. 35.What comes next? 12, 24, 36, 48, 60, ? (a) 73 (b) 71 (c) 72 (d) 84
  36. 36.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 24 (b) 19 (c) 23 (d) 18
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  40. 40.What comes next? 36, 32, 28, 24, 20, ? (a) 17 (b) 12 (c) 15 (d) 16

Answer key

  1. 22
  2. 162
  3. 192
  4. 32
  5. 77
  6. 243
  7. 34
  8. 5
  9. 34
  10. 15
  11. 3
  12. 16
  13. 71
  14. 4
  15. 22
  16. 35
  17. 75
  18. 14
  19. 7
  20. 32
  21. 4
  22. 59
  23. 4
  24. 17
  25. 35
  26. 2
  27. 15
  28. 43
  29. 65
  30. 5
  31. 28
  32. 36
  33. 16
  34. 24
  35. 72
  36. 19
  37. 160
  38. 81
  39. 128
  40. 16

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