Irska

39 problems here, rated 4.5 to 7.4 on our scale (AIME to National olympiad, round 2). 39 of them ask for a proof.

Algebra 13Combinatorics 2Geometry 16Number theory 8

#	Topic	Diff	Type	Year
1	Algebra	4.5	proof	—	open
2	Geometry	4.5	proof	—	open
3	Geometry	4.5	proof	—	open
4	Algebra	4.6	proof	—	open
5	Algebra	4.7	proof	—	open
6	Number theory	4.7	proof	—	open
7	Geometry	4.7	proof	—	open
8	Algebra	4.7	proof	—	open
9	Geometry	4.8	proof	—	open
10	Geometry	4.8	proof	—	open
11	Geometry	4.8	proof	—	open
12	Number theory	5.0	proof	—	open
13	Number theory	5.0	proof	—	open
14	Geometry	5.1	proof	—	open
15	Algebra	5.2	proof	—	open
16	Algebra	5.3	proof	—	open
17	Algebra	5.3	proof	—	open
18	Geometry	5.4	proof	—	open
19	Number theory	5.4	proof	—	open
20	Geometry	5.4	proof	—	open
21	Number theory	5.4	proof	—	open
22	Geometry	5.5	proof	—	open
23	Geometry	5.5	proof	—	open
24	Number theory	5.5	proof	—	open
25	Geometry	5.5	proof	—	open
26	Algebra	5.6	proof	—	open
27	Algebra	5.6	proof	—	open
28	Algebra	5.7	proof	—	open
29	Number theory	5.7	proof	—	open
30	Algebra	5.8	proof	—	open
31	Algebra	5.9	proof	—	open
32	Combinatorics	5.9	proof	—	open
33	Geometry	6.0	proof	—	open
34	Algebra	6.0	proof	—	open
35	Geometry	6.3	proof	—	open
36	Combinatorics	6.4	proof	—	open
37	Geometry	6.9	proof	—	open
38	Geometry	6.9	proof	—	open
39	Number theory	7.4	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.