CIS

19 problems here, rated 4.5 to 7.5 on our scale (AIME to National Olympiad, round 2). 19 of them ask for a proof.

Algebra 3Combinatorics 5Geometry 8Number theory 3

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Geometry	4.5	proof	—	open
3	Algebra	4.5	proof	—	open
4	Geometry	4.7	proof	—	open
5	Algebra	4.7	proof	—	open
6	Number theory	4.7	proof	—	open
7	Geometry	4.7	proof	—	open
8	Number theory	5.0	proof	—	open
9	Geometry	5.1	proof	—	open
10	Geometry	5.4	proof	—	open
11	Combinatorics	5.4	proof	—	open
12	Geometry	5.5	proof	—	open
13	Algebra	5.8	proof	—	open
14	Number theory	5.9	proof	—	open
15	Combinatorics	6.4	proof	—	open
16	Combinatorics	6.5	proof	—	open
17	Geometry	7.1	proof	—	open
18	Combinatorics	7.3	proof	—	open
19	Combinatorics	7.5	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.