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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 276 · 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? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 3 (d) 2
  2. 2.What comes next? 11, 23, 35, 47, 59, ? (a) 70 (b) 72 (c) 71 (d) 83
  3. 3.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 34 (c) 33 (d) 35
  4. 4.What comes next? 13, 23, 33, 43, 53, ? (a) 64 (b) 62 (c) 73 (d) 63
  5. 5.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 41 (c) 39 (d) 37
  6. 6.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31
  7. 7.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 29 (c) 31 (d) 30
  8. 8.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 39 (d) 40
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  11. 11.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 34 (b) 42 (c) 35 (d) 37
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  13. 13.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 41 (c) 39 (d) 40
  14. 14.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 32 (b) 23 (c) 30 (d) 24
  15. 15.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 13 (c) 14 (d) 15
  16. 16.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 2 (c) 3 (d) 1
  17. 17.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 17 (c) 19 (d) 14
  18. 18.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 19 (b) 20 (c) 24 (d) 22
  19. 19.What comes next? 23, 35, 47, 59, 71, ? (a) 95 (b) 83 (c) 82 (d) 84
  20. 20.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 9 (b) 16 (c) 10 (d) 14
  21. 21.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 30 (c) 29 (d) 28
  22. 22.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 32 (c) 39 (d) 33
  23. 23.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 29 (b) 23 (c) 30 (d) 22
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  25. 25.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 11 (c) 10 (d) 12
  26. 26.What comes next? 12, 23, 34, 45, 56, ? (a) 66 (b) 78 (c) 67 (d) 68
  27. 27.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 22 (d) 21
  28. 28.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 15 (c) 17 (d) 16
  29. 29.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 11 (d) 9
  30. 30.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 34 (c) 35 (d) 32
  31. 31.What comes next? 20, 31, 42, 53, 64, ? (a) 86 (b) 76 (c) 75 (d) 74
  32. 32.What comes next? 6, 10, 14, 18, 22, ? (a) 25 (b) 30 (c) 26 (d) 27
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  34. 34.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 25 (b) 21 (c) 19 (d) 18
  35. 35.What comes next? 24, 27, 30, 33, 36, ? (a) 38 (b) 40 (c) 39 (d) 42
  36. 36.What comes next? 37, 34, 31, 28, 25, ? (a) 23 (b) 19 (c) 22 (d) 21
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  38. 38.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 42 (c) 41 (d) 50
  39. 39.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 13 (b) 4 (c) 3 (d) 12
  40. 40.What comes next? 40, 38, 36, 34, 32, ? (a) 29 (b) 30 (c) 31 (d) 28

Answer key

  1. 3
  2. 71
  3. 34
  4. 63
  5. 38
  6. 32
  7. 30
  8. 39
  9. 32
  10. 96
  11. 35
  12. 162
  13. 40
  14. 24
  15. 14
  16. 1
  17. 15
  18. 20
  19. 83
  20. 10
  21. 29
  22. 33
  23. 23
  24. 243
  25. 11
  26. 67
  27. 21
  28. 16
  29. 9
  30. 33
  31. 75
  32. 26
  33. 81
  34. 19
  35. 39
  36. 22
  37. 128
  38. 42
  39. 4
  40. 30

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