Library /UkraineMO

UkraineMO

21 problems here, rated 3.7 to 5.3 on our scale (AMC 10/12 to AIME, harder). 20 of them ask for a proof.

Algebra 10Combinatorics 3Geometry 6Number theory 2

#	Topic	Diff	Type	Year
1	Combinatorics	3.7	answer	—	open
2	Geometry	4.5	proof	—	open
3	Number theory	4.6	proof	—	open
4	Algebra	4.6	proof	—	open
5	Algebra	4.6	proof	—	open
6	Geometry	4.7	proof	—	open
7	Algebra	4.8	proof	—	open
8	Combinatorics	4.8	proof	—	open
9	Number theory	4.8	proof	—	open
10	Algebra	4.8	proof	—	open
11	Algebra	4.8	proof	—	open
12	Algebra	4.9	proof	—	open
13	Algebra	4.9	proof	—	open
14	Algebra	5.0	proof	—	open
15	Geometry	5.0	proof	—	open
16	Combinatorics	5.0	proof	—	open
17	Geometry	5.1	proof	—	open
18	Geometry	5.1	proof	—	open
19	Geometry	5.1	proof	—	open
20	Algebra	5.3	proof	—	open
21	Algebra	5.3	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.