Maths Olympiad Prep

Library /Balkan Mathematical Olympiad competition problems

Balkan Mathematical Olympiad competition problems

17 problems here, rated 5.4 to 7.9 on our scale (AIME, harder to National Olympiad, round 2). 17 of them ask for a proof.

Algebra 5Combinatorics 5Geometry 2Number theory 5
#TopicDiffTypeYear
1 Geometry 5.4 proof — open
2 Number theory 5.9 proof — open
3 Algebra 6.1 proof — open
4 Number theory 6.2 proof — open
5 Geometry 6.6 proof — open
6 Combinatorics 7.5 proof — open
7 Combinatorics 7.5 proof — open
8 Number theory 7.6 proof — open
9 Algebra 7.6 proof — open
10 Combinatorics 7.6 proof — open
11 Algebra 7.6 proof — open
12 Number theory 7.7 proof — open
13 Number theory 7.8 proof — open
14 Combinatorics 7.8 proof — open
15 Algebra 7.8 proof — open
16 Algebra 7.9 proof — open
17 Combinatorics 7.9 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.