Maths Olympiad Prep

Library /Balkan Mathematical Olympiad Shortlist

Balkan Mathematical Olympiad Shortlist

14 problems here, rated 7.5 to 8.8 on our scale (National Olympiad, round 2 to Shortlist). 14 of them ask for a proof.

Algebra 4Combinatorics 1Geometry 6Number theory 3
#TopicDiffTypeYear
1 Geometry 7.5 proof open
2 Geometry 7.6 proof open
3 Algebra 7.7 proof open
4 Number theory 7.7 proof open
5 Algebra 7.8 proof open
6 Number theory 7.9 proof open
7 Combinatorics 7.9 proof open
8 Number theory 7.9 proof open
9 Algebra 8.0 proof open
10 Geometry 8.0 proof open
11 Geometry 8.1 proof open
12 Algebra 8.2 proof open
13 Geometry 8.3 proof open
14 Geometry 8.8 proof open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.