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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 48 · 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? 28, 35, 42, 49, 56, ? (a) 62 (b) 70 (c) 64 (d) 63
  2. 2.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 80 (c) 81 (d) 82
  3. 3.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 3 (c) 6 (d) 5
  4. 4.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 33 (d) 31
  5. 5.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 7 (c) 1 (d) 5
  6. 6.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 22 (d) 21
  7. 7.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 12 (c) 14 (d) 10
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  9. 9.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 14 (c) 12 (d) 9
  10. 10.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 42 (c) 43 (d) 40
  11. 11.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  12. 12.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 4 (c) 3 (d) 5
  13. 13.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 22 (c) 24 (d) 23
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  15. 15.What comes next? 20, 28, 36, 44, 52, ? (a) 59 (b) 60 (c) 61 (d) 68
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  17. 17.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 31 (d) 29
  18. 18.What comes next? 17, 26, 23, 32, 29, 38, ? (a) 47 (b) 34 (c) 41 (d) 35
  19. 19.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 53 (c) 59 (d) 54
  20. 20.What comes next? 17, 19, 21, 23, 25, ? (a) 28 (b) 27 (c) 29 (d) 26
  21. 21.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 21 (b) 33 (c) 32 (d) 22
  22. 22.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 38 (c) 40 (d) 39
  23. 23.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 34 (d) 33
  24. 24.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 33 (c) 34 (d) 32
  25. 25.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  26. 26.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 39 (c) 38 (d) 36
  27. 27.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 11 (c) 7 (d) 9
  28. 28.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 24 (d) 25
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  30. 30.What comes next? 6, 15, 24, 33, 42, ? (a) 52 (b) 51 (c) 50 (d) 60
  31. 31.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 35 (b) 20 (c) 34 (d) 19
  32. 32.What comes next? 21, 27, 33, 39, 45, ? (a) 50 (b) 52 (c) 51 (d) 57
  33. 33.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 37 (c) 41 (d) 39
  34. 34.What comes next? 10, 21, 32, 43, 54, ? (a) 76 (b) 66 (c) 65 (d) 64
  35. 35.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 28 (c) 26 (d) 27
  36. 36.What comes next? 51, 45, 39, 33, 27, ? (a) 21 (b) 22 (c) 20 (d) 15
  37. 37.What comes next? 3, 15, 27, 39, 51, ? (a) 64 (b) 75 (c) 63 (d) 62
  38. 38.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 36 (c) 33 (d) 35
  39. 39.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 42 (c) 41 (d) 40
  40. 40.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 25 (c) 29 (d) 27

Answer key

  1. 63
  2. 81
  3. 4
  4. 31
  5. 6
  6. 21
  7. 13
  8. 81
  9. 10
  10. 41
  11. 18
  12. 4
  13. 23
  14. 243
  15. 60
  16. 64
  17. 30
  18. 35
  19. 53
  20. 27
  21. 22
  22. 38
  23. 33
  24. 33
  25. 96
  26. 37
  27. 7
  28. 25
  29. 32
  30. 51
  31. 20
  32. 51
  33. 38
  34. 65
  35. 27
  36. 21
  37. 63
  38. 34
  39. 41
  40. 26

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