Singapur

21 problems here, rated 4.3 to 6 on our scale (AIME to National Olympiad). 21 of them ask for a proof.

Algebra 4Combinatorics 3Geometry 9Number theory 5

#	Topic	Diff	Type	Year
1	Geometry	4.3	proof	2015	open
2	Geometry	4.4	proof	—	open
3	Geometry	4.4	proof	—	open
4	Geometry	4.5	proof	2015	open
5	Geometry	4.5	proof	—	open
6	Geometry	4.7	proof	2015	open
7	Number theory	4.7	proof	2015	open
8	Number theory	4.7	proof	—	open
9	Algebra	4.7	proof	—	open
10	Number theory	4.9	proof	2015	open
11	Algebra	5.0	proof	—	open
12	Combinatorics	5.1	proof	2015	open
13	Geometry	5.1	proof	—	open
14	Geometry	5.2	proof	2015	open
15	Number theory	5.3	proof	2015	open
16	Geometry	5.4	proof	—	open
17	Number theory	5.5	proof	—	open
18	Algebra	5.6	proof	—	open
19	Combinatorics	5.6	proof	2015	open
20	Algebra	5.6	proof	2015	open
21	Combinatorics	6.0	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.