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

Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 954 · 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? 52, 44, 36, 28, 20, ? (a) 11 (b) 4 (c) 12 (d) 13
  2. 2.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 18 (c) 27 (d) 28
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  4. 4.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 10 (c) 8 (d) 9
  5. 5.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 55 (c) 56 (d) 57
  6. 6.What comes next? 15, 24, 33, 42, 51, ? (a) 61 (b) 60 (c) 59 (d) 69
  7. 7.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  8. 8.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 36 (d) 34
  9. 9.What comes next? 10, 17, 24, 31, 38, ? (a) 44 (b) 45 (c) 52 (d) 46
  10. 10.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 43 (c) 44 (d) 42
  11. 11.What comes next? 24, 29, 34, 39, 44, ? (a) 50 (b) 49 (c) 54 (d) 48
  12. 12.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 22 (d) 20
  13. 13.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 26 (d) 27
  14. 14.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 54 (c) 49 (d) 50
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  16. 16.What comes next? 28, 36, 44, 52, 60, ? (a) 68 (b) 69 (c) 76 (d) 67
  17. 17.What comes next? 10, 19, 28, 37, 46, ? (a) 54 (b) 56 (c) 64 (d) 55
  18. 18.What comes next? 25, 31, 37, 43, 49, ? (a) 56 (b) 54 (c) 61 (d) 55
  19. 19.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 26 (c) 25 (d) 18
  20. 20.What comes next? 3, 15, 27, 39, 51, ? (a) 75 (b) 64 (c) 62 (d) 63
  21. 21.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  22. 22.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 45 (d) 44
  23. 23.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 25 (b) 26 (c) 30 (d) 35
  24. 24.What comes next? 23, 28, 33, 38, 43, ? (a) 53 (b) 47 (c) 49 (d) 48
  25. 25.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 54 (c) 59 (d) 53
  26. 26.What comes next? 18, 24, 19, 25, 20, 26, ? (a) 20 (b) 31 (c) 32 (d) 21
  27. 27.What comes next? 4, 12, 20, 28, 36, ? (a) 44 (b) 52 (c) 45 (d) 43
  28. 28.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 33 (c) 34 (d) 35
  29. 29.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 45 (c) 46 (d) 48
  30. 30.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 15 (c) 20 (d) 18
  31. 31.What comes next? 7, 15, 23, 31, 39, ? (a) 55 (b) 46 (c) 48 (d) 47
  32. 32.What comes next? 23, 31, 39, 47, 55, ? (a) 63 (b) 64 (c) 71 (d) 62
  33. 33.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 24 (c) 23 (d) 26
  34. 34.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 25 (c) 24 (d) 22
  35. 35.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  36. 36.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  37. 37.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 25 (c) 27 (d) 23
  38. 38.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 36 (c) 39 (d) 37
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  40. 40.What comes next? 15, 17, 19, 21, 23, ? (a) 27 (b) 25 (c) 26 (d) 24

Answer key

  1. 12
  2. 27
  3. 162
  4. 8
  5. 56
  6. 60
  7. 96
  8. 34
  9. 45
  10. 42
  11. 49
  12. 20
  13. 26
  14. 50
  15. 81
  16. 68
  17. 55
  18. 55
  19. 26
  20. 63
  21. 30
  22. 43
  23. 26
  24. 48
  25. 54
  26. 21
  27. 44
  28. 34
  29. 46
  30. 19
  31. 47
  32. 63
  33. 24
  34. 23
  35. 17
  36. 32
  37. 23
  38. 37
  39. 128
  40. 25

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