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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 105 · 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? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  2. 2.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 60 (c) 61 (d) 68
  3. 3.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 15 (b) 13 (c) 9 (d) 8
  4. 4.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  5. 5.What comes next? 60, 51, 42, 33, 24, ? (a) 6 (b) 15 (c) 14 (d) 16
  6. 6.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 11 (c) 6 (d) 5
  7. 7.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 27 (b) 26 (c) 18 (d) 17
  8. 8.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 9 (b) 18 (c) 17 (d) 8
  9. 9.What comes next? 24, 29, 34, 39, 44, ? (a) 50 (b) 48 (c) 54 (d) 49
  10. 10.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 33 (d) 31
  11. 11.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 20 (b) 21 (c) 31 (d) 35
  12. 12.What comes next? 67, 59, 51, 43, 35, ? (a) 28 (b) 26 (c) 27 (d) 19
  13. 13.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 25 (c) 24 (d) 26
  14. 14.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 29 (c) 28 (d) 27
  15. 15.What comes next? 18, 26, 34, 42, 50, ? (a) 59 (b) 57 (c) 66 (d) 58
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  17. 17.What comes next? 18, 29, 40, 51, 62, ? (a) 84 (b) 72 (c) 74 (d) 73
  18. 18.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 14 (d) 9
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 72 (d) 120
  20. 20.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 27 (c) 28 (d) 29
  21. 21.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  22. 22.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 55 (c) 51 (d) 50
  23. 23.What comes next? 38, 34, 30, 26, 22, ? (a) 18 (b) 14 (c) 17 (d) 19
  24. 24.What comes next? 19, 28, 37, 46, 55, ? (a) 64 (b) 73 (c) 65 (d) 63
  25. 25.What comes next? 68, 60, 52, 44, 36, ? (a) 29 (b) 27 (c) 20 (d) 28
  26. 26.What comes next? 17, 23, 29, 35, 41, ? (a) 53 (b) 48 (c) 47 (d) 46
  27. 27.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 23 (b) 22 (c) 37 (d) 35
  28. 28.What comes next? 16, 18, 20, 22, 24, ? (a) 28 (b) 26 (c) 25 (d) 27
  29. 29.What comes next? 26, 24, 22, 20, 18, ? (a) 16 (b) 15 (c) 14 (d) 17
  30. 30.What comes next? 27, 37, 47, 57, 67, ? (a) 78 (b) 77 (c) 87 (d) 76
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  32. 32.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 14 (c) 13 (d) 16
  33. 33.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  34. 34.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 22 (b) 27 (c) 23 (d) 34
  35. 35.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 32 (b) 22 (c) 21 (d) 33
  36. 36.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 31 (b) 27 (c) 18 (d) 19
  37. 37.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 10 (c) 12 (d) 13
  38. 38.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 44 (c) 45 (d) 46
  39. 39.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  40. 40.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 24 (c) 25 (d) 26

Answer key

  1. 18
  2. 61
  3. 9
  4. 192
  5. 15
  6. 6
  7. 18
  8. 9
  9. 49
  10. 32
  11. 21
  12. 27
  13. 25
  14. 28
  15. 58
  16. 243
  17. 73
  18. 14
  19. 96
  20. 27
  21. 64
  22. 50
  23. 18
  24. 64
  25. 28
  26. 47
  27. 23
  28. 26
  29. 16
  30. 77
  31. 160
  32. 14
  33. 128
  34. 23
  35. 22
  36. 19
  37. 12
  38. 44
  39. 162
  40. 25

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