Library /International Mathematical Arhimede Contest

International Mathematical Arhimede Contest

11 problems here, rated 5.1 to 7 on our scale (AIME, harder to National Olympiad, round 2). 11 of them ask for a proof.

Algebra 3Geometry 3Number theory 5

#	Topic	Diff	Type	Year
1	Algebra	5.1	proof	—	open
2	Number theory	5.3	proof	—	open
3	Number theory	5.4	proof	—	open
4	Geometry	5.5	proof	—	open
5	Number theory	5.6	proof	—	open
6	Geometry	5.7	proof	—	open
7	Algebra	5.9	proof	—	open
8	Number theory	6.2	proof	—	open
9	Algebra	6.5	proof	—	open
10	Geometry	6.6	proof	—	open
11	Number theory	7.0	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.