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Library /Romanian Mathematical Olympiad - Final Round

Romanian Mathematical Olympiad - Final Round

37 problems here, rated 5 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 37 of them ask for a proof.

Algebra 20Combinatorics 2Geometry 10Number theory 5
#TopicDiffTypeYear
1 Geometry 5.0 proof — open
2 Algebra 5.1 proof — open
3 Number theory 5.2 proof — open
4 Algebra 5.3 proof — open
5 Number theory 5.3 proof — open
6 Geometry 5.3 proof — open
7 Number theory 5.3 proof — open
8 Geometry 5.5 proof — open
9 Algebra 5.6 proof — open
10 Algebra 5.6 proof — open
11 Algebra 5.7 proof — open
12 Algebra 5.7 proof — open
13 Algebra 5.7 proof — open
14 Geometry 5.8 proof — open
15 Algebra 5.8 proof — open
16 Geometry 5.8 proof — open
17 Algebra 5.9 proof — open
18 Geometry 5.9 proof — open
19 Number theory 5.9 proof — open
20 Geometry 6.3 proof — open
21 Combinatorics 6.3 proof — open
22 Algebra 6.3 proof — open
23 Algebra 6.3 proof — open
24 Algebra 6.3 proof — open
25 Geometry 6.5 proof — open
26 Algebra 6.6 proof — open
27 Algebra 6.7 proof — open
28 Geometry 6.9 proof — open
29 Geometry 7.1 proof — open
30 Algebra 7.2 proof — open
31 Combinatorics 7.2 proof — open
32 Algebra 7.3 proof — open
33 Number theory 7.4 proof — open
34 Algebra 7.4 proof — open
35 Algebra 7.4 proof — open
36 Algebra 7.5 proof — open
37 Algebra 7.7 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.