Maths Olympiad Prep

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Bulgarian National Mathematical Olympiad

17 problems here, rated 5.5 to 7.8 on our scale (AIME, harder to National Olympiad, round 2). 17 of them ask for a proof.

Algebra 4Combinatorics 4Geometry 7Number theory 2
#TopicDiffTypeYear
1 Number theory 5.5 proof — open
2 Geometry 5.6 proof — open
3 Geometry 5.6 proof — open
4 Geometry 5.7 proof — open
5 Geometry 5.7 proof — open
6 Algebra 5.7 proof — open
7 Geometry 5.8 proof — open
8 Algebra 6.0 proof — open
9 Geometry 6.3 proof — open
10 Algebra 6.3 proof — open
11 Algebra 6.4 proof — open
12 Combinatorics 6.5 proof — open
13 Combinatorics 6.5 proof — open
14 Geometry 6.7 proof — open
15 Number theory 7.0 proof — open
16 Combinatorics 7.7 proof — open
17 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.