OJBM

16 problems here, rated 4.6 to 6.7 on our scale (AIME to National Olympiad). 16 of them ask for a proof.

Algebra 1Combinatorics 1Geometry 9Number theory 5

#	Topic	Diff	Type	Year
1	Algebra	4.6	proof	—	open
2	Geometry	4.6	proof	—	open
3	Geometry	4.8	proof	—	open
4	Geometry	4.9	proof	—	open
5	Combinatorics	4.9	proof	—	open
6	Geometry	5.0	proof	—	open
7	Geometry	5.0	proof	—	open
8	Number theory	5.4	proof	—	open
9	Geometry	5.4	proof	—	open
10	Number theory	5.6	proof	—	open
11	Number theory	5.7	proof	—	open
12	Number theory	5.7	proof	—	open
13	Geometry	6.1	proof	—	open
14	Geometry	6.5	proof	—	open
15	Number theory	6.6	proof	—	open
16	Geometry	6.7	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.