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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 418 · 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? 70, 62, 54, 46, 38, ? (a) 31 (b) 22 (c) 29 (d) 30
  2. 2.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 12 (c) 13 (d) 14
  3. 3.What comes next? 67, 58, 49, 40, 31, ? (a) 23 (b) 21 (c) 22 (d) 13
  4. 4.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 26 (c) 24 (d) 28
  5. 5.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 31 (c) 30 (d) 33
  6. 6.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 9 (c) 4 (d) 5
  7. 7.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 20 (b) 19 (c) 26 (d) 27
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  9. 9.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 9 (c) 7 (d) 8
  10. 10.What comes next? 20, 27, 34, 41, 48, ? (a) 54 (b) 56 (c) 55 (d) 62
  11. 11.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 34 (b) 24 (c) 25 (d) 29
  12. 12.What comes next? 18, 24, 23, 29, 28, 34, ? (a) 35 (b) 32 (c) 33 (d) 40
  13. 13.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 25 (c) 26 (d) 28
  14. 14.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 33 (c) 32 (d) 31
  15. 15.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 28 (c) 26 (d) 22
  16. 16.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 42 (c) 40 (d) 41
  17. 17.What comes next? 27, 39, 51, 63, 75, ? (a) 87 (b) 88 (c) 86 (d) 99
  18. 18.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 27 (c) 26 (d) 25
  19. 19.What comes next? 21, 26, 31, 36, 41, ? (a) 47 (b) 51 (c) 46 (d) 45
  20. 20.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 19 (d) 20
  21. 21.What comes next? 8, 13, 9, 14, 10, 15, ? (a) 20 (b) 11 (c) 19 (d) 10
  22. 22.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 66 (c) 65 (d) 76
  23. 23.What comes next? 24, 30, 36, 42, 48, ? (a) 55 (b) 53 (c) 60 (d) 54
  24. 24.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 46 (d) 45
  25. 25.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 10 (b) 17 (c) 19 (d) 11
  26. 26.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 35 (b) 27 (c) 28 (d) 32
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  28. 28.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 31 (b) 23 (c) 28 (d) 24
  29. 29.What comes next? 59, 50, 41, 32, 23, ? (a) 15 (b) 5 (c) 14 (d) 13
  30. 30.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 12 (b) 13 (c) 22 (d) 21
  31. 31.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 13 (b) 21 (c) 20 (d) 14
  32. 32.What comes next? 17, 27, 37, 47, 57, ? (a) 68 (b) 67 (c) 77 (d) 66
  33. 33.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 31 (c) 30 (d) 27
  34. 34.What comes next? 14, 21, 16, 23, 18, 25, ? (a) 19 (b) 30 (c) 20 (d) 32
  35. 35.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 15 (b) 16 (c) 10 (d) 11
  36. 36.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 7 (d) 6
  37. 37.What comes next? 34, 31, 28, 25, 22, ? (a) 16 (b) 20 (c) 18 (d) 19
  38. 38.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 30 (c) 29 (d) 27
  39. 39.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 21 (c) 20 (d) 19
  40. 40.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 46 (c) 43 (d) 44

Answer key

  1. 30
  2. 14
  3. 22
  4. 25
  5. 31
  6. 5
  7. 20
  8. 243
  9. 7
  10. 55
  11. 25
  12. 33
  13. 27
  14. 31
  15. 27
  16. 41
  17. 87
  18. 26
  19. 46
  20. 20
  21. 11
  22. 66
  23. 54
  24. 45
  25. 11
  26. 28
  27. 81
  28. 24
  29. 14
  30. 13
  31. 14
  32. 67
  33. 30
  34. 20
  35. 11
  36. 6
  37. 19
  38. 29
  39. 20
  40. 44

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