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.