APMO

25 problems here, rated 6.3 to 8.2 on our scale (National Olympiad to Shortlist). 25 of them ask for a proof. Years covered: 1989–2025.

Algebra 6Combinatorics 6Geometry 7Number theory 6

#	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	Geometry	7.3	proof	—	open
7	Geometry	7.5	proof	—	open
8	Algebra	7.6	proof	1994	open
9	Geometry	7.6	proof	—	open
10	Combinatorics	7.6	proof	2016	open
11	Combinatorics	7.6	proof	1993	open
12	Geometry	7.6	proof	2021	open
13	Geometry	7.7	proof	2016	open
14	Geometry	7.7	proof	2016	open
15	Number theory	7.7	proof	2016	open
16	Number theory	7.7	proof	1994	open
17	Algebra	7.7	proof	1989	open
18	Algebra	7.7	proof	—	open
19	Algebra	7.8	proof	2016	open
20	Algebra	7.8	proof	—	open
21	Combinatorics	7.8	proof	—	open
22	Number theory	7.8	proof	2025	open
23	Number theory	7.9	proof	2025	open
24	Combinatorics	7.9	proof	2025	open
25	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.