Maths Olympiad Prep

Library /Junior Balkan Mathematical Olympiad

Junior Balkan Mathematical Olympiad

19 problems here, rated 4.4 to 8 on our scale (AIME to Shortlist). 19 of them ask for a proof.

Algebra 4Combinatorics 5Geometry 5Number theory 5
#TopicDiffTypeYear
1 Geometry 4.4 proof — open
2 Algebra 4.9 proof — open
3 Number theory 5.1 proof — open
4 Algebra 5.3 proof — open
5 Geometry 5.5 proof — open
6 Number theory 5.5 proof — open
7 Number theory 5.5 proof — open
8 Geometry 5.6 proof — open
9 Algebra 5.6 proof — open
10 Number theory 5.8 proof — open
11 Geometry 5.9 proof — open
12 Number theory 6.1 proof — open
13 Geometry 6.2 proof — open
14 Algebra 6.4 proof — open
15 Combinatorics 6.5 proof — open
16 Combinatorics 6.7 proof — open
17 Combinatorics 6.9 proof — open
18 Combinatorics 7.0 proof — open
19 Combinatorics 8.0 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.