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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 778 · 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? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  2. 2.What comes next? 21, 30, 39, 48, 57, ? (a) 75 (b) 67 (c) 66 (d) 65
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  5. 5.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 6 (c) 7 (d) 8
  6. 6.What comes next? 2, 8, 14, 20, 26, ? (a) 33 (b) 38 (c) 32 (d) 31
  7. 7.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 27 (d) 31
  8. 8.What comes next? 20, 22, 24, 26, 28, ? (a) 29 (b) 30 (c) 32 (d) 31
  9. 9.What comes next? 11, 13, 16, 20, 25, ? (a) 31 (b) 33 (c) 30 (d) 32
  10. 10.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 35 (d) 34
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  12. 12.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 26 (c) 29 (d) 28
  13. 13.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 21 (b) 5 (c) 4 (d) 22
  14. 14.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 43 (c) 44 (d) 42
  15. 15.What comes next? 72, 63, 54, 45, 36, ? (a) 27 (b) 26 (c) 18 (d) 28
  16. 16.What comes next? 64, 55, 46, 37, 28, ? (a) 10 (b) 18 (c) 19 (d) 20
  17. 17.What comes next? 17, 26, 19, 28, 21, 30, ? (a) 37 (b) 23 (c) 39 (d) 22
  18. 18.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 29 (c) 26 (d) 28
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  20. 20.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 32 (d) 31
  21. 21.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 4 (c) 1 (d) 2
  22. 22.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 28 (b) 20 (c) 19 (d) 22
  23. 23.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 7 (c) 8 (d) 6
  24. 24.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 38 (c) 41 (d) 39
  25. 25.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 18 (c) 20 (d) 19
  26. 26.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 19 (c) 22 (d) 21
  27. 27.What comes next? 40, 34, 28, 22, 16, ? (a) 9 (b) 4 (c) 11 (d) 10
  28. 28.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 32 (c) 33 (d) 31
  29. 29.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 30 (c) 33 (d) 32
  30. 30.What comes next? 47, 42, 37, 32, 27, ? (a) 23 (b) 22 (c) 17 (d) 21
  31. 31.What comes next? 6, 8, 10, 12, 14, ? (a) 16 (b) 17 (c) 18 (d) 15
  32. 32.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 37 (c) 38 (d) 39
  33. 33.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  34. 34.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 36 (d) 34
  35. 35.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 19 (b) 35 (c) 34 (d) 20
  36. 36.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 22 (c) 27 (d) 20
  37. 37.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 46 (c) 45 (d) 47
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  39. 39.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 4 (c) 12 (d) 11
  40. 40.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 25 (c) 29 (d) 24

Answer key

  1. 243
  2. 66
  3. 32
  4. 96
  5. 6
  6. 32
  7. 27
  8. 30
  9. 31
  10. 33
  11. 81
  12. 27
  13. 5
  14. 43
  15. 27
  16. 19
  17. 23
  18. 29
  19. 64
  20. 32
  21. 1
  22. 20
  23. 7
  24. 39
  25. 19
  26. 20
  27. 10
  28. 31
  29. 31
  30. 22
  31. 16
  32. 38
  33. 192
  34. 34
  35. 20
  36. 20
  37. 45
  38. 160
  39. 12
  40. 25

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