Library /Ukrainian National Mathematical Olympiad - Fourth Round

Ukrainian National Mathematical Olympiad - Fourth Round

12 problems here, rated 5.1 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 12 of them ask for a proof.

Algebra 3Combinatorics 4Geometry 4Number theory 1

#	Topic	Diff	Type	Year
1	Geometry	5.1	proof	—	open
2	Algebra	5.2	proof	—	open
3	Number theory	5.2	proof	—	open
4	Algebra	5.3	proof	—	open
5	Geometry	5.6	proof	—	open
6	Geometry	6.4	proof	—	open
7	Algebra	6.5	proof	—	open
8	Combinatorics	6.5	proof	—	open
9	Combinatorics	6.6	proof	—	open
10	Combinatorics	6.7	proof	—	open
11	Geometry	6.7	proof	—	open
12	Combinatorics	7.7	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.