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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 649 · 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? 4, 11, 18, 25, 32, ? (a) 46 (b) 40 (c) 39 (d) 38
  2. 2.What comes next? 31, 28, 25, 22, 19, ? (a) 15 (b) 17 (c) 16 (d) 13
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  4. 4.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 1 (c) 3 (d) 2
  5. 5.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 22 (c) 21 (d) 19
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  7. 7.What comes next? 48, 40, 32, 24, 16, ? (a) 9 (b) 8 (c) 10 (d) 7
  8. 8.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 30 (c) 31 (d) 29
  9. 9.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 44 (d) 42
  10. 10.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 35 (d) 33
  11. 11.What comes next? 15, 25, 35, 45, 55, ? (a) 75 (b) 66 (c) 64 (d) 65
  12. 12.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 13 (c) 9 (d) 14
  13. 13.What comes next? 3, 15, 27, 39, 51, ? (a) 63 (b) 64 (c) 62 (d) 75
  14. 14.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 31 (c) 32 (d) 30
  15. 15.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 1 (c) 4 (d) 6
  16. 16.What comes next? 9, 18, 27, 36, 45, ? (a) 54 (b) 53 (c) 63 (d) 55
  17. 17.What comes next? 32, 29, 26, 23, 20, ? (a) 14 (b) 17 (c) 18 (d) 16
  18. 18.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 77 (c) 76 (d) 86
  19. 19.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 70 (c) 61 (d) 62
  20. 20.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 25 (d) 27
  21. 21.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  22. 22.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 41 (c) 43 (d) 44
  23. 23.What comes next? 5, 14, 23, 32, 41, ? (a) 49 (b) 59 (c) 51 (d) 50
  24. 24.What comes next? 9, 14, 10, 15, 11, 16, ? (a) 21 (b) 11 (c) 20 (d) 12
  25. 25.What comes next? 19, 31, 43, 55, 67, ? (a) 80 (b) 78 (c) 79 (d) 91
  26. 26.What comes next? 39, 36, 33, 30, 27, ? (a) 23 (b) 21 (c) 24 (d) 25
  27. 27.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 31 (c) 32 (d) 33
  28. 28.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 37 (c) 38 (d) 39
  29. 29.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 10 (b) 19 (c) 17 (d) 11
  30. 30.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 33 (c) 34 (d) 36
  31. 31.What comes next? 5, 10, 9, 14, 13, 18, ? (a) 23 (b) 19 (c) 17 (d) 16
  32. 32.What comes next? 1, 9, 4, 12, 7, 15, ? (a) 10 (b) 9 (c) 23 (d) 20
  33. 33.What comes next? 4, 16, 28, 40, 52, ? (a) 63 (b) 65 (c) 64 (d) 76
  34. 34.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 15 (c) 13 (d) 14
  35. 35.What comes next? 9, 14, 19, 24, 29, ? (a) 39 (b) 33 (c) 34 (d) 35
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  37. 37.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 25 (b) 33 (c) 31 (d) 24
  38. 38.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 6 (c) 8 (d) 7
  39. 39.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  40. 40.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 30 (d) 28

Answer key

  1. 39
  2. 16
  3. 243
  4. 1
  5. 20
  6. 96
  7. 8
  8. 30
  9. 43
  10. 33
  11. 65
  12. 13
  13. 63
  14. 31
  15. 5
  16. 54
  17. 17
  18. 76
  19. 62
  20. 26
  21. 1
  22. 42
  23. 50
  24. 12
  25. 79
  26. 24
  27. 32
  28. 37
  29. 11
  30. 33
  31. 17
  32. 10
  33. 64
  34. 14
  35. 34
  36. 81
  37. 25
  38. 7
  39. 42
  40. 28

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