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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 584 · 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? 36, 29, 22, 15, 8, ? (a) 2 (b) 3 (c) 1 (d) 4
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  3. 3.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 31 (c) 32 (d) 33
  4. 4.What comes next? 1, 7, 5, 11, 9, 15, ? (a) 21 (b) 17 (c) 12 (d) 13
  5. 5.What comes next? 20, 25, 30, 35, 40, ? (a) 46 (b) 45 (c) 50 (d) 44
  6. 6.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 75 (c) 74 (d) 76
  7. 7.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 30 (c) 31 (d) 28
  8. 8.What comes next? 24, 29, 34, 39, 44, ? (a) 48 (b) 49 (c) 50 (d) 54
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  10. 10.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  11. 11.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 19 (d) 20
  12. 12.What comes next? 53, 45, 37, 29, 21, ? (a) 12 (b) 14 (c) 13 (d) 5
  13. 13.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 40 (c) 38 (d) 37
  14. 14.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 38 (c) 35 (d) 37
  15. 15.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 46 (c) 55 (d) 47
  16. 16.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 56 (c) 54 (d) 64
  17. 17.What comes next? 59, 52, 45, 38, 31, ? (a) 24 (b) 25 (c) 17 (d) 23
  18. 18.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 21 (c) 19 (d) 20
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  20. 20.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 22 (b) 23 (c) 27 (d) 29
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  22. 22.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  23. 23.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 35 (c) 33 (d) 32
  24. 24.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 38 (d) 37
  25. 25.What comes next? 15, 21, 18, 24, 21, 27, ? (a) 24 (b) 23 (c) 33 (d) 30
  26. 26.What comes next? 14, 23, 32, 41, 50, ? (a) 58 (b) 59 (c) 68 (d) 60
  27. 27.What comes next? 35, 30, 25, 20, 15, ? (a) 9 (b) 5 (c) 11 (d) 10
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  29. 29.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 77 (c) 79 (d) 88
  30. 30.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 49 (c) 50 (d) 48
  31. 31.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 3 (c) 8 (d) 9
  32. 32.What comes next? 24, 27, 30, 33, 36, ? (a) 40 (b) 42 (c) 39 (d) 38
  33. 33.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 24 (d) 23
  34. 34.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 37 (d) 39
  35. 35.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 35 (c) 33 (d) 36
  36. 36.What comes next? 7, 14, 9, 16, 11, 18, ? (a) 23 (b) 13 (c) 12 (d) 25
  37. 37.What comes next? 41, 37, 33, 29, 25, ? (a) 17 (b) 20 (c) 22 (d) 21
  38. 38.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 22 (b) 21 (c) 17 (d) 16
  39. 39.What comes next? 26, 38, 50, 62, 74, ? (a) 98 (b) 85 (c) 87 (d) 86
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240

Answer key

  1. 1
  2. 64
  3. 31
  4. 13
  5. 45
  6. 75
  7. 29
  8. 49
  9. 243
  10. 39
  11. 20
  12. 13
  13. 38
  14. 36
  15. 47
  16. 55
  17. 24
  18. 21
  19. 32
  20. 23
  21. 96
  22. 160
  23. 33
  24. 38
  25. 24
  26. 59
  27. 10
  28. 162
  29. 78
  30. 49
  31. 9
  32. 39
  33. 23
  34. 37
  35. 34
  36. 13
  37. 21
  38. 17
  39. 86
  40. 192

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