Library /74th Romanian Mathematical Olympiad

74th Romanian Mathematical Olympiad

42 problems here, rated 4.5 to 7.4 on our scale (AIME to National olympiad, round 2). 42 of them ask for a proof.

Algebra 15Combinatorics 5Geometry 10Number theory 12

#	Topic	Diff	Type	Year
1	Algebra	4.5	proof	—	open
2	Geometry	4.8	proof	—	open
3	Combinatorics	4.9	proof	—	open
4	Geometry	5.0	proof	—	open
5	Number theory	5.1	proof	—	open
6	Number theory	5.1	proof	—	open
7	Algebra	5.2	proof	—	open
8	Number theory	5.3	proof	—	open
9	Combinatorics	5.3	proof	—	open
10	Geometry	5.5	proof	—	open
11	Geometry	5.5	proof	—	open
12	Combinatorics	5.5	proof	—	open
13	Number theory	5.6	proof	—	open
14	Algebra	5.6	proof	—	open
15	Algebra	5.6	proof	—	open
16	Geometry	5.7	proof	—	open
17	Combinatorics	5.8	proof	—	open
18	Algebra	5.9	proof	—	open
19	Number theory	6.0	proof	—	open
20	Algebra	6.1	proof	—	open
21	Algebra	6.1	proof	—	open
22	Algebra	6.1	proof	—	open
23	Number theory	6.2	proof	—	open
24	Algebra	6.2	proof	—	open
25	Number theory	6.3	proof	—	open
26	Number theory	6.4	proof	—	open
27	Geometry	6.5	proof	—	open
28	Algebra	6.6	proof	—	open
29	Geometry	6.6	proof	—	open
30	Algebra	6.7	proof	—	open
31	Algebra	6.7	proof	—	open
32	Algebra	6.7	proof	—	open
33	Number theory	6.8	proof	—	open
34	Number theory	6.8	proof	—	open
35	Algebra	6.8	proof	—	open
36	Geometry	7.0	proof	—	open
37	Number theory	7.2	proof	—	open
38	Geometry	7.2	proof	—	open
39	Geometry	7.3	proof	—	open
40	Number theory	7.3	proof	—	open
41	Algebra	7.3	proof	—	open
42	Combinatorics	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.