Maths Olympiad Prep

Library /75th Romanian Mathematical Olympiad

75th Romanian Mathematical Olympiad

39 problems here, rated 5 to 7.7 on our scale (AIME, harder to National olympiad, round 2). 39 of them ask for a proof.

Algebra 23Combinatorics 3Geometry 8Number theory 5
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Number theory 5.3 proof — open
3 Geometry 5.3 proof — open
4 Algebra 5.3 proof — open
5 Algebra 5.3 proof — open
6 Algebra 5.4 proof — open
7 Algebra 5.4 proof — open
8 Algebra 5.5 proof — open
9 Algebra 5.6 proof — open
10 Algebra 5.6 proof — open
11 Number theory 5.7 proof — open
12 Number theory 5.8 proof — open
13 Geometry 5.8 proof — open
14 Algebra 5.8 proof — open
15 Algebra 5.8 proof — open
16 Algebra 5.9 proof — open
17 Number theory 6.0 proof — open
18 Geometry 6.0 proof — open
19 Algebra 6.0 proof — open
20 Algebra 6.2 proof — open
21 Combinatorics 6.2 proof — open
22 Algebra 6.2 proof — open
23 Algebra 6.2 proof — open
24 Algebra 6.3 proof — open
25 Combinatorics 6.3 proof — open
26 Geometry 6.3 proof — open
27 Algebra 6.4 proof — open
28 Number theory 6.4 proof — open
29 Geometry 6.5 proof — open
30 Geometry 6.5 proof — open
31 Geometry 6.5 proof — open
32 Algebra 6.5 proof — open
33 Geometry 6.6 proof — open
34 Algebra 6.9 proof — open
35 Algebra 7.1 proof — open
36 Combinatorics 7.2 proof — open
37 Algebra 7.2 proof — open
38 Algebra 7.5 proof — open
39 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.