Maths Olympiad Prep

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Bulgarian National Mathematical Olympiad

15 problems here, rated 5.5 to 7.8 on our scale (AIME, harder to National Olympiad, round 2). 15 of them ask for a proof.

Algebra 3Combinatorics 4Geometry 6Number theory 2
#TopicDiffTypeYear
1 Number theory 5.5 proof — open
2 Geometry 5.6 proof — open
3 Geometry 5.7 proof — open
4 Geometry 5.7 proof — open
5 Geometry 5.8 proof — open
6 Algebra 6.0 proof — open
7 Geometry 6.3 proof — open
8 Algebra 6.3 proof — open
9 Algebra 6.4 proof — open
10 Combinatorics 6.5 proof — open
11 Combinatorics 6.5 proof — open
12 Geometry 6.7 proof — open
13 Number theory 7.0 proof — open
14 Combinatorics 7.7 proof — open
15 Combinatorics 7.8 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.