Library /67th Romanian Mathematical Olympiad

67th Romanian Mathematical Olympiad

41 problems here, rated 4.5 to 7.5 on our scale (AIME to National olympiad, round 2). 40 of them ask for a proof.

Algebra 13Combinatorics 2Geometry 11Number theory 15

#	Topic	Diff	Type	Year
1	Number theory	4.5	answer	—	open
2	Geometry	4.8	proof	—	open
3	Algebra	4.9	proof	—	open
4	Geometry	4.9	proof	—	open
5	Algebra	5.0	proof	—	open
6	Geometry	5.0	proof	—	open
7	Number theory	5.0	proof	—	open
8	Algebra	5.0	proof	—	open
9	Number theory	5.0	proof	—	open
10	Algebra	5.1	proof	—	open
11	Number theory	5.2	proof	—	open
12	Number theory	5.2	proof	—	open
13	Geometry	5.2	proof	—	open
14	Number theory	5.2	proof	—	open
15	Geometry	5.3	proof	—	open
16	Number theory	5.3	proof	—	open
17	Number theory	5.3	proof	—	open
18	Algebra	5.4	proof	—	open
19	Geometry	5.4	proof	—	open
20	Algebra	5.4	proof	—	open
21	Number theory	5.4	proof	—	open
22	Algebra	5.4	proof	—	open
23	Geometry	5.5	proof	—	open
24	Combinatorics	5.6	proof	—	open
25	Algebra	5.7	proof	—	open
26	Number theory	5.7	proof	—	open
27	Number theory	5.7	proof	—	open
28	Algebra	5.7	proof	—	open
29	Number theory	5.7	proof	—	open
30	Geometry	5.9	proof	—	open
31	Number theory	5.9	proof	—	open
32	Geometry	6.1	proof	—	open
33	Algebra	6.1	proof	—	open
34	Algebra	6.2	proof	—	open
35	Algebra	6.3	proof	—	open
36	Algebra	6.4	proof	—	open
37	Number theory	6.7	proof	—	open
38	Geometry	6.7	proof	—	open
39	Combinatorics	6.8	proof	—	open
40	Geometry	6.9	proof	—	open
41	Number theory	7.5	proof	—	open

These are in difficulty order within this competition, but they are not a course. The track is the ordered route, drawn from across all the sources.