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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 513 · 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? 31, 25, 19, 13, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  3. 3.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 10 (b) 21 (c) 23 (d) 11
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  5. 5.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 33 (c) 28 (d) 30
  6. 6.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 11 (c) 20 (d) 21
  7. 7.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 23 (c) 24 (d) 22
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  9. 9.What comes next? 33, 29, 25, 21, 17, ? (a) 14 (b) 9 (c) 13 (d) 12
  10. 10.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 26 (d) 25
  11. 11.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 5 (c) 7 (d) 6
  12. 12.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 45 (c) 41 (d) 42
  13. 13.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 28 (c) 31 (d) 30
  14. 14.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 31 (d) 34
  15. 15.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  16. 16.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  17. 17.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 45 (c) 47 (d) 54
  18. 18.What comes next? 16, 14, 12, 10, 8, ? (a) 6 (b) 7 (c) 5 (d) 4
  19. 19.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 10 (b) 23 (c) 24 (d) 11
  20. 20.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 43 (c) 41 (d) 40
  21. 21.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 40 (c) 38 (d) 42
  22. 22.What comes next? 28, 32, 36, 40, 44, ? (a) 49 (b) 48 (c) 52 (d) 47
  23. 23.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 20 (c) 22 (d) 21
  24. 24.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 39 (d) 40
  25. 25.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 36 (c) 35 (d) 37
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  27. 27.What comes next? 8, 15, 22, 29, 36, ? (a) 43 (b) 50 (c) 44 (d) 42
  28. 28.What comes next? 2, 6, 10, 14, 18, ? (a) 21 (b) 22 (c) 23 (d) 26
  29. 29.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 6 (c) 15 (d) 14
  30. 30.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 43 (c) 44 (d) 45
  31. 31.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 13 (c) 18 (d) 17
  32. 32.What comes next? 41, 37, 33, 29, 25, ? (a) 21 (b) 17 (c) 20 (d) 22
  33. 33.What comes next? 3, 10, 17, 24, 31, ? (a) 38 (b) 37 (c) 45 (d) 39
  34. 34.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 24 (b) 29 (c) 25 (d) 27
  35. 35.What comes next? 23, 31, 39, 47, 55, ? (a) 64 (b) 71 (c) 62 (d) 63
  36. 36.What comes next? 49, 44, 39, 34, 29, ? (a) 25 (b) 19 (c) 23 (d) 24
  37. 37.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 35 (c) 37 (d) 36
  38. 38.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 3 (c) 7 (d) 6
  39. 39.What comes next? 7, 14, 11, 18, 15, 22, ? (a) 25 (b) 18 (c) 19 (d) 29
  40. 40.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 32 (d) 33

Answer key

  1. 1
  2. 160
  3. 11
  4. 243
  5. 29
  6. 20
  7. 23
  8. 162
  9. 13
  10. 26
  11. 6
  12. 42
  13. 29
  14. 32
  15. 128
  16. 29
  17. 46
  18. 6
  19. 11
  20. 40
  21. 39
  22. 48
  23. 21
  24. 39
  25. 35
  26. 32
  27. 43
  28. 22
  29. 15
  30. 43
  31. 13
  32. 21
  33. 38
  34. 25
  35. 63
  36. 24
  37. 35
  38. 6
  39. 19
  40. 33

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