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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 451 · 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? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  2. 2.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  4. 4.What comes next? 11, 21, 31, 41, 51, ? (a) 61 (b) 62 (c) 60 (d) 71
  5. 5.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 3 (c) 12 (d) 13
  6. 6.What comes next? 16, 24, 32, 40, 48, ? (a) 57 (b) 56 (c) 64 (d) 55
  7. 7.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 22 (b) 15 (c) 16 (d) 24
  8. 8.What comes next? 47, 41, 35, 29, 23, ? (a) 11 (b) 17 (c) 16 (d) 18
  9. 9.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 71 (c) 78 (d) 70
  10. 10.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 30 (b) 23 (c) 28 (d) 24
  11. 11.What comes next? 28, 30, 32, 34, 36, ? (a) 38 (b) 39 (c) 37 (d) 40
  12. 12.What comes next? 22, 31, 40, 49, 58, ? (a) 76 (b) 67 (c) 68 (d) 66
  13. 13.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 4 (c) 6 (d) 3
  14. 14.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 23 (c) 25 (d) 22
  15. 15.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 65 (c) 59 (d) 58
  16. 16.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 44 (b) 33 (c) 38 (d) 34
  17. 17.What comes next? 17, 26, 35, 44, 53, ? (a) 71 (b) 62 (c) 63 (d) 61
  18. 18.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 43 (c) 42 (d) 44
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  20. 20.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 21 (c) 27 (d) 22
  21. 21.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 15 (c) 12 (d) 17
  22. 22.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  23. 23.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 19 (d) 20
  24. 24.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 5 (b) 13 (c) 4 (d) 14
  25. 25.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 7 (c) 4 (d) 6
  26. 26.What comes next? 50, 46, 42, 38, 34, ? (a) 26 (b) 29 (c) 30 (d) 31
  27. 27.What comes next? 57, 51, 45, 39, 33, ? (a) 27 (b) 21 (c) 26 (d) 28
  28. 28.What comes next? 32, 26, 20, 14, 8, ? (a) 4 (b) 3 (c) 2 (d) 1
  29. 29.What comes next? 9, 21, 33, 45, 57, ? (a) 69 (b) 70 (c) 68 (d) 81
  30. 30.What comes next? 23, 28, 33, 38, 43, ? (a) 47 (b) 48 (c) 49 (d) 53
  31. 31.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 35 (d) 36
  32. 32.What comes next? 22, 24, 26, 28, 30, ? (a) 32 (b) 31 (c) 33 (d) 34
  33. 33.What comes next? 26, 23, 20, 17, 14, ? (a) 10 (b) 8 (c) 11 (d) 12
  34. 34.What comes next? 58, 52, 46, 40, 34, ? (a) 28 (b) 27 (c) 29 (d) 22
  35. 35.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  36. 36.What comes next? 12, 18, 14, 20, 16, 22, ? (a) 26 (b) 17 (c) 18 (d) 28
  37. 37.What comes next? 3, 5, 7, 9, 11, ? (a) 14 (b) 13 (c) 15 (d) 12
  38. 38.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 79 (c) 80 (d) 91
  39. 39.What comes next? 4, 12, 10, 18, 16, 24, ? (a) 22 (b) 26 (c) 21 (d) 32
  40. 40.What comes next? 64, 55, 46, 37, 28, ? (a) 20 (b) 18 (c) 19 (d) 10

Answer key

  1. 162
  2. 16
  3. 128
  4. 61
  5. 12
  6. 56
  7. 16
  8. 17
  9. 70
  10. 24
  11. 38
  12. 67
  13. 4
  14. 22
  15. 59
  16. 34
  17. 62
  18. 42
  19. 192
  20. 22
  21. 13
  22. 81
  23. 20
  24. 5
  25. 5
  26. 30
  27. 27
  28. 2
  29. 69
  30. 48
  31. 35
  32. 32
  33. 11
  34. 28
  35. 31
  36. 18
  37. 13
  38. 80
  39. 22
  40. 19

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