APMO

26 problems here, rated 6.3 to 8.2 on our scale (National Olympiad to Shortlist). 26 of them ask for a proof. Years covered: 1989–2025.

Algebra 6Combinatorics 6Geometry 7Number theory 7

#	Topic	Diff	Type	Year
1	Geometry	6.3	proof	1993	open
2	Combinatorics	6.7	proof	1989	open
3	Number theory	6.7	proof	—	open
4	Number theory	6.9	proof	—	open
5	Algebra	7.1	proof	—	open
6	Number theory	7.1	proof	—	open
7	Geometry	7.3	proof	—	open
8	Geometry	7.5	proof	—	open
9	Algebra	7.6	proof	1994	open
10	Geometry	7.6	proof	—	open
11	Combinatorics	7.6	proof	2016	open
12	Combinatorics	7.6	proof	1993	open
13	Geometry	7.6	proof	2021	open
14	Geometry	7.7	proof	2016	open
15	Geometry	7.7	proof	2016	open
16	Number theory	7.7	proof	2016	open
17	Number theory	7.7	proof	1994	open
18	Algebra	7.7	proof	1989	open
19	Algebra	7.7	proof	—	open
20	Algebra	7.8	proof	2016	open
21	Algebra	7.8	proof	—	open
22	Combinatorics	7.8	proof	—	open
23	Number theory	7.8	proof	2025	open
24	Number theory	7.9	proof	2025	open
25	Combinatorics	7.9	proof	2025	open
26	Combinatorics	8.2	proof	2025	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.