Library /National Math Olympiad

National Math Olympiad

35 problems here, rated 4.5 to 7.5 on our scale (AIME to National olympiad, round 2). 35 of them ask for a proof.

Algebra 11Combinatorics 2Geometry 12Number theory 10

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Combinatorics	4.5	proof	—	open
3	Algebra	4.5	proof	—	open
4	Algebra	4.6	proof	—	open
5	Algebra	4.6	proof	—	open
6	Algebra	4.6	proof	—	open
7	Geometry	4.7	proof	—	open
8	Algebra	4.8	proof	—	open
9	Algebra	4.8	proof	—	open
10	Number theory	4.9	proof	—	open
11	Algebra	5.0	proof	—	open
12	Number theory	5.0	proof	—	open
13	Number theory	5.1	proof	—	open
14	Algebra	5.1	proof	—	open
15	Number theory	5.3	proof	—	open
16	Algebra	5.3	proof	—	open
17	Geometry	5.5	proof	—	open
18	Number theory	5.5	proof	—	open
19	Geometry	5.6	proof	—	open
20	Number theory	5.6	proof	—	open
21	Number theory	5.6	proof	—	open
22	Algebra	5.6	proof	—	open
23	Geometry	5.7	proof	—	open
24	Geometry	5.7	proof	—	open
25	Algebra	5.8	proof	—	open
26	Geometry	6.0	proof	—	open
27	Number theory	6.0	proof	—	open
28	Geometry	6.1	proof	—	open
29	Number theory	6.3	proof	—	open
30	Geometry	6.5	proof	—	open
31	Geometry	6.7	proof	—	open
32	Geometry	6.7	proof	—	open
33	Combinatorics	6.8	proof	—	open
34	Number theory	6.8	proof	—	open
35	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.