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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 678 · 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, 7, 2, 8, 3, 9, ? (a) 4 (b) 14 (c) 3 (d) 15
  2. 2.What comes next? 37, 33, 29, 25, 21, ? (a) 18 (b) 16 (c) 13 (d) 17
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  4. 4.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 17 (d) 18
  5. 5.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 33 (d) 31
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  7. 7.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 16 (b) 21 (c) 20 (d) 15
  8. 8.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 10 (c) 11 (d) 13
  9. 9.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 22 (c) 20 (d) 21
  10. 10.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 35 (d) 34
  11. 11.What comes next? 13, 21, 29, 37, 45, ? (a) 53 (b) 52 (c) 54 (d) 61
  12. 12.What comes next? 14, 26, 38, 50, 62, ? (a) 73 (b) 86 (c) 74 (d) 75
  13. 13.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 41 (d) 42
  14. 14.What comes next? 8, 17, 26, 35, 44, ? (a) 62 (b) 54 (c) 53 (d) 52
  15. 15.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 14 (c) 16 (d) 17
  16. 16.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 31 (c) 30 (d) 32
  17. 17.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 31 (c) 30 (d) 29
  18. 18.What comes next? 16, 25, 18, 27, 20, 29, ? (a) 22 (b) 36 (c) 38 (d) 21
  19. 19.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 59 (c) 61 (d) 60
  20. 20.What comes next? 16, 24, 20, 28, 24, 32, ? (a) 40 (b) 27 (c) 28 (d) 36
  21. 21.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  22. 22.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 31 (c) 33 (d) 32
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  24. 24.What comes next? 2, 6, 10, 14, 18, ? (a) 22 (b) 21 (c) 23 (d) 26
  25. 25.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  26. 26.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 61 (c) 60 (d) 62
  27. 27.What comes next? 30, 41, 52, 63, 74, ? (a) 85 (b) 86 (c) 84 (d) 96
  28. 28.What comes next? 23, 33, 43, 53, 63, ? (a) 83 (b) 74 (c) 73 (d) 72
  29. 29.What comes next? 18, 23, 21, 26, 24, 29, ? (a) 27 (b) 31 (c) 34 (d) 26
  30. 30.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 41 (d) 39
  31. 31.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 31 (d) 33
  32. 32.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 10 (c) 9 (d) 12
  33. 33.What comes next? 8, 16, 9, 17, 10, 18, ? (a) 11 (b) 25 (c) 10 (d) 26
  34. 34.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 21 (c) 22 (d) 23
  35. 35.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  36. 36.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  37. 37.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 26 (b) 24 (c) 29 (d) 23
  38. 38.What comes next? 32, 29, 26, 23, 20, ? (a) 14 (b) 16 (c) 18 (d) 17
  39. 39.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 37 (d) 36
  40. 40.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 17 (c) 18 (d) 19

Answer key

  1. 4
  2. 17
  3. 64
  4. 18
  5. 31
  6. 32
  7. 16
  8. 11
  9. 21
  10. 33
  11. 53
  12. 74
  13. 42
  14. 53
  15. 16
  16. 31
  17. 30
  18. 22
  19. 60
  20. 28
  21. 192
  22. 31
  23. 243
  24. 22
  25. 3
  26. 61
  27. 85
  28. 73
  29. 27
  30. 39
  31. 31
  32. 10
  33. 11
  34. 22
  35. 81
  36. 27
  37. 24
  38. 17
  39. 36
  40. 17

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