Library /55rd Ukrainian National Mathematical Olympiad - Fourth Round

55rd Ukrainian National Mathematical Olympiad - Fourth Round

18 problems here, rated 5.1 to 7.7 on our scale (AIME, harder to National olympiad, round 2). 18 of them ask for a proof.

Algebra 4Combinatorics 4Geometry 6Number theory 4

#	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	Number theory	5.6	proof	—	open
7	Number theory	5.8	proof	—	open
8	Geometry	6.0	proof	—	open
9	Algebra	6.1	proof	—	open
10	Number theory	6.2	proof	—	open
11	Geometry	6.3	proof	—	open
12	Geometry	6.4	proof	—	open
13	Algebra	6.5	proof	—	open
14	Combinatorics	6.5	proof	—	open
15	Combinatorics	6.6	proof	—	open
16	Combinatorics	6.7	proof	—	open
17	Geometry	6.7	proof	—	open
18	Combinatorics	7.7	proof	—	open

These are in difficulty order within this competition, but they are not a course. The track is the ordered route, drawn from across all the sources.