Library /Philippines Mathematical Olympiad

Philippines Mathematical Olympiad

15 problems here, rated 4.3 to 7.4 on our scale (AIME to National Olympiad, round 2). 13 of them ask for a proof.

Algebra 10Combinatorics 2Geometry 1Number theory 2

#	Topic	Diff	Type	Year
1	Number theory	4.3	answer	—	open
2	Geometry	4.5	answer	—	open
3	Algebra	5.0	proof	—	open
4	Algebra	5.1	proof	—	open
5	Algebra	5.2	proof	—	open
6	Algebra	5.3	proof	—	open
7	Algebra	5.3	proof	—	open
8	Algebra	5.4	proof	—	open
9	Algebra	5.4	proof	—	open
10	Algebra	5.5	proof	—	open
11	Algebra	6.1	proof	—	open
12	Combinatorics	6.2	proof	—	open
13	Number theory	6.3	proof	—	open
14	Combinatorics	6.3	proof	—	open
15	Algebra	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.