Library /Open Contests

Open Contests

31 problems here, rated 4.4 to 7.2 on our scale (AIME to National olympiad, round 2). 31 of them ask for a proof.

Algebra 10Combinatorics 5Geometry 8Number theory 8

#	Topic	Diff	Type	Year
1	Number theory	4.4	proof	—	open
2	Number theory	4.6	proof	—	open
3	Algebra	4.7	proof	—	open
4	Algebra	4.8	proof	—	open
5	Algebra	4.8	proof	—	open
6	Number theory	4.9	proof	—	open
7	Number theory	4.9	proof	—	open
8	Number theory	5.0	proof	—	open
9	Geometry	5.0	proof	—	open
10	Algebra	5.1	proof	—	open
11	Algebra	5.2	proof	—	open
12	Geometry	5.2	proof	—	open
13	Algebra	5.2	proof	—	open
14	Algebra	5.2	proof	—	open
15	Algebra	5.3	proof	—	open
16	Geometry	5.3	proof	—	open
17	Combinatorics	5.3	proof	—	open
18	Number theory	5.3	proof	—	open
19	Number theory	5.4	proof	—	open
20	Geometry	5.6	proof	—	open
21	Algebra	5.6	proof	—	open
22	Combinatorics	5.7	proof	—	open
23	Geometry	6.0	proof	—	open
24	Combinatorics	6.1	proof	—	open
25	Geometry	6.1	proof	—	open
26	Geometry	6.3	proof	—	open
27	Geometry	6.5	proof	—	open
28	Combinatorics	6.5	proof	—	open
29	Number theory	6.6	proof	—	open
30	Algebra	7.0	proof	—	open
31	Combinatorics	7.2	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.