Library /AustriaMO

AustriaMO

33 problems here, rated 4.5 to 7.5 on our scale (AIME to National Olympiad, round 2). 33 of them ask for a proof.

Algebra 13Combinatorics 3Geometry 10Number theory 7

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Algebra	4.5	proof	—	open
3	Algebra	4.7	proof	—	open
4	Algebra	4.8	proof	—	open
5	Number theory	4.9	proof	—	open
6	Geometry	4.9	proof	—	open
7	Number theory	5.0	proof	—	open
8	Algebra	5.0	proof	—	open
9	Number theory	5.2	proof	—	open
10	Geometry	5.3	proof	—	open
11	Geometry	5.3	proof	—	open
12	Algebra	5.5	proof	—	open
13	Algebra	5.6	proof	—	open
14	Number theory	5.7	proof	—	open
15	Number theory	5.7	proof	—	open
16	Algebra	5.7	proof	—	open
17	Number theory	5.7	proof	—	open
18	Algebra	5.9	proof	—	open
19	Algebra	5.9	proof	—	open
20	Geometry	6.0	proof	—	open
21	Algebra	6.0	proof	—	open
22	Geometry	6.1	proof	—	open
23	Number theory	6.1	proof	—	open
24	Combinatorics	6.2	proof	—	open
25	Geometry	6.2	proof	—	open
26	Algebra	6.2	proof	—	open
27	Geometry	6.4	proof	—	open
28	Algebra	6.5	proof	—	open
29	Algebra	6.5	proof	—	open
30	Combinatorics	6.6	proof	—	open
31	Combinatorics	6.9	proof	—	open
32	Geometry	7.1	proof	—	open
33	Geometry	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.