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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 775 · 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? 19, 23, 20, 24, 21, 25, ? (a) 29 (b) 28 (c) 21 (d) 22
  2. 2.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 4 (d) 5
  3. 3.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 21 (c) 24 (d) 23
  4. 4.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 40 (d) 39
  5. 5.What comes next? 9, 21, 33, 45, 57, ? (a) 68 (b) 69 (c) 70 (d) 81
  6. 6.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 35 (b) 30 (c) 26 (d) 25
  7. 7.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 5 (c) 6 (d) 7
  8. 8.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 9 (b) 10 (c) 4 (d) 5
  9. 9.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 32 (b) 27 (c) 28 (d) 36
  10. 10.What comes next? 25, 28, 31, 34, 37, ? (a) 43 (b) 39 (c) 40 (d) 41
  11. 11.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 6 (c) 12 (d) 13
  12. 12.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  13. 13.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 29 (b) 27 (c) 26 (d) 32
  14. 14.What comes next? 23, 32, 41, 50, 59, ? (a) 68 (b) 69 (c) 77 (d) 67
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  16. 16.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 17 (c) 15 (d) 14
  17. 17.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 33 (c) 35 (d) 36
  18. 18.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 17 (c) 19 (d) 18
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  20. 20.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 17 (c) 15 (d) 13
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  22. 22.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 9 (b) 17 (c) 16 (d) 10
  23. 23.What comes next? 53, 48, 43, 38, 33, ? (a) 29 (b) 23 (c) 28 (d) 27
  24. 24.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 29 (b) 18 (c) 17 (d) 26
  25. 25.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 19 (b) 11 (c) 21 (d) 10
  26. 26.What comes next? 8, 18, 28, 38, 48, ? (a) 59 (b) 58 (c) 68 (d) 57
  27. 27.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 2 (c) 3 (d) 5
  28. 28.What comes next? 59, 53, 47, 41, 35, ? (a) 30 (b) 28 (c) 23 (d) 29
  29. 29.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 42 (c) 38 (d) 40
  30. 30.What comes next? 24, 31, 38, 45, 52, ? (a) 66 (b) 59 (c) 58 (d) 60
  31. 31.What comes next? 55, 46, 37, 28, 19, ? (a) 10 (b) 9 (c) 11 (d) 1
  32. 32.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 32 (b) 23 (c) 31 (d) 22
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  34. 34.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 2 (c) 3 (d) 4
  35. 35.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 53 (c) 59 (d) 54
  36. 36.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 33 (b) 25 (c) 24 (d) 36
  37. 37.What comes next? 6, 15, 10, 19, 14, 23, ? (a) 17 (b) 18 (c) 28 (d) 32
  38. 38.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 22 (b) 13 (c) 14 (d) 24
  39. 39.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 33 (d) 36
  40. 40.What comes next? 51, 46, 41, 36, 31, ? (a) 25 (b) 27 (c) 26 (d) 21

Answer key

  1. 22
  2. 3
  3. 22
  4. 39
  5. 69
  6. 26
  7. 7
  8. 5
  9. 28
  10. 40
  11. 13
  12. 2
  13. 27
  14. 68
  15. 32
  16. 15
  17. 34
  18. 18
  19. 162
  20. 13
  21. 128
  22. 10
  23. 28
  24. 18
  25. 11
  26. 58
  27. 3
  28. 29
  29. 39
  30. 59
  31. 10
  32. 23
  33. 81
  34. 2
  35. 54
  36. 25
  37. 18
  38. 14
  39. 34
  40. 26

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