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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 830 · 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? 6, 15, 14, 23, 22, 31, ? (a) 32 (b) 29 (c) 40 (d) 30
  2. 2.What comes next? 67, 59, 51, 43, 35, ? (a) 26 (b) 19 (c) 27 (d) 28
  3. 3.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 16 (c) 13 (d) 15
  4. 4.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 9 (b) 18 (c) 17 (d) 8
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  6. 6.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 28 (b) 25 (c) 30 (d) 26
  7. 7.What comes next? 53, 45, 37, 29, 21, ? (a) 14 (b) 5 (c) 12 (d) 13
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  9. 9.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 9 (b) 10 (c) 14 (d) 16
  10. 10.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 40 (d) 42
  11. 11.What comes next? 9, 17, 16, 24, 23, 31, ? (a) 32 (b) 29 (c) 39 (d) 30
  12. 12.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 34 (d) 32
  13. 13.What comes next? 12, 21, 16, 25, 20, 29, ? (a) 34 (b) 38 (c) 24 (d) 23
  14. 14.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 21 (c) 20 (d) 19
  15. 15.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 33 (c) 32 (d) 34
  17. 17.What comes next? 19, 27, 35, 43, 51, ? (a) 59 (b) 60 (c) 58 (d) 67
  18. 18.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 24 (b) 31 (c) 25 (d) 36
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  20. 20.What comes next? 11, 20, 16, 25, 21, 30, ? (a) 25 (b) 39 (c) 26 (d) 34
  21. 21.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 23 (d) 14
  22. 22.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 12 (c) 8 (d) 14
  23. 23.What comes next? 17, 24, 31, 38, 45, ? (a) 53 (b) 52 (c) 59 (d) 51
  24. 24.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 25 (c) 27 (d) 29
  25. 25.What comes next? 24, 26, 28, 30, 32, ? (a) 35 (b) 34 (c) 33 (d) 36
  26. 26.What comes next? 32, 29, 26, 23, 20, ? (a) 17 (b) 18 (c) 14 (d) 16
  27. 27.What comes next? 65, 57, 49, 41, 33, ? (a) 26 (b) 17 (c) 24 (d) 25
  28. 28.What comes next? 30, 39, 48, 57, 66, ? (a) 74 (b) 75 (c) 76 (d) 84
  29. 29.What comes next? 29, 40, 51, 62, 73, ? (a) 84 (b) 95 (c) 83 (d) 85
  30. 30.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 29 (d) 32
  31. 31.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 71 (c) 63 (d) 64
  32. 32.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  33. 33.What comes next? 23, 28, 33, 38, 43, ? (a) 53 (b) 47 (c) 48 (d) 49
  34. 34.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 13 (c) 16 (d) 14
  35. 35.What comes next? 5, 14, 6, 15, 7, 16, ? (a) 25 (b) 24 (c) 7 (d) 8
  36. 36.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 33 (b) 31 (c) 30 (d) 37
  37. 37.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 28 (d) 27
  38. 38.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 9 (b) 20 (c) 18 (d) 10
  39. 39.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 4 (c) 6 (d) 5
  40. 40.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 38 (c) 39 (d) 37

Answer key

  1. 30
  2. 27
  3. 16
  4. 9
  5. 243
  6. 26
  7. 13
  8. 192
  9. 10
  10. 40
  11. 30
  12. 33
  13. 24
  14. 20
  15. 2
  16. 32
  17. 59
  18. 25
  19. 32
  20. 26
  21. 23
  22. 8
  23. 52
  24. 26
  25. 34
  26. 17
  27. 25
  28. 75
  29. 84
  30. 30
  31. 64
  32. 81
  33. 48
  34. 15
  35. 8
  36. 31
  37. 26
  38. 10
  39. 5
  40. 37

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