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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 450 · 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? 13, 15, 18, 22, 27, ? (a) 33 (b) 34 (c) 32 (d) 35
  2. 2.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 33 (d) 34
  3. 3.What comes next? 22, 25, 28, 31, 34, ? (a) 36 (b) 40 (c) 37 (d) 38
  4. 4.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 49 (c) 52 (d) 51
  5. 5.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 3 (c) 1 (d) 4
  6. 6.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 9 (c) 10 (d) 15
  7. 7.What comes next? 22, 33, 44, 55, 66, ? (a) 78 (b) 77 (c) 76 (d) 88
  8. 8.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 53 (c) 54 (d) 62
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  10. 10.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 40 (c) 47 (d) 39
  11. 11.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 42 (d) 43
  12. 12.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 19 (b) 13 (c) 17 (d) 12
  13. 13.What comes next? 26, 38, 50, 62, 74, ? (a) 85 (b) 98 (c) 87 (d) 86
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  15. 15.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 31 (d) 34
  16. 16.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 46 (c) 48 (d) 47
  17. 17.What comes next? 40, 34, 28, 22, 16, ? (a) 9 (b) 4 (c) 10 (d) 11
  18. 18.What comes next? 29, 39, 49, 59, 69, ? (a) 80 (b) 89 (c) 78 (d) 79
  19. 19.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 34 (c) 37 (d) 35
  20. 20.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 9 (c) 10 (d) 2
  21. 21.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 26 (b) 16 (c) 15 (d) 30
  22. 22.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 36 (c) 34 (d) 35
  23. 23.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 16 (c) 18 (d) 12
  24. 24.What comes next? 60, 53, 46, 39, 32, ? (a) 24 (b) 26 (c) 18 (d) 25
  25. 25.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 33 (c) 34 (d) 35
  26. 26.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 26 (b) 29 (c) 27 (d) 35
  27. 27.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 29 (c) 28 (d) 26
  28. 28.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 21 (b) 22 (c) 29 (d) 26
  29. 29.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 23 (b) 13 (c) 12 (d) 26
  30. 30.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 20 (b) 19 (c) 30 (d) 31
  31. 31.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 17 (c) 19 (d) 16
  32. 32.What comes next? 67, 59, 51, 43, 35, ? (a) 28 (b) 26 (c) 27 (d) 19
  33. 33.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 77 (c) 76 (d) 86
  34. 34.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  35. 35.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 27 (c) 32 (d) 28
  36. 36.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 59 (c) 60 (d) 58
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  38. 38.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 21 (b) 9 (c) 8 (d) 23
  39. 39.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  40. 40.What comes next? 61, 52, 43, 34, 25, ? (a) 17 (b) 15 (c) 7 (d) 16

Answer key

  1. 33
  2. 33
  3. 37
  4. 50
  5. 2
  6. 10
  7. 77
  8. 53
  9. 162
  10. 40
  11. 41
  12. 13
  13. 86
  14. 96
  15. 32
  16. 46
  17. 10
  18. 79
  19. 35
  20. 9
  21. 16
  22. 35
  23. 12
  24. 25
  25. 34
  26. 27
  27. 27
  28. 22
  29. 13
  30. 20
  31. 17
  32. 27
  33. 76
  34. 32
  35. 27
  36. 59
  37. 81
  38. 9
  39. 30
  40. 16

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