Library /Balkan Mathematical Olympiad competition problems

Balkan Mathematical Olympiad competition problems

16 problems here, rated 5.4 to 7.9 on our scale (AIME, harder to National Olympiad, round 2). 16 of them ask for a proof.

Algebra 4Combinatorics 5Geometry 2Number theory 5

#	Topic	Diff	Type	Year
1	Geometry	5.4	proof	—	open
2	Number theory	5.9	proof	—	open
3	Algebra	6.1	proof	—	open
4	Number theory	6.2	proof	—	open
5	Geometry	6.6	proof	—	open
6	Combinatorics	7.5	proof	—	open
7	Combinatorics	7.5	proof	—	open
8	Number theory	7.6	proof	—	open
9	Algebra	7.6	proof	—	open
10	Combinatorics	7.6	proof	—	open
11	Number theory	7.7	proof	—	open
12	Number theory	7.8	proof	—	open
13	Combinatorics	7.8	proof	—	open
14	Algebra	7.8	proof	—	open
15	Algebra	7.9	proof	—	open
16	Combinatorics	7.9	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.