Maths Olympiad Prep

Library /Junior Balkan Mathematical Olympiad Shortlist

Junior Balkan Mathematical Olympiad Shortlist

36 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 36 of them ask for a proof.

Algebra 11Combinatorics 3Geometry 14Number theory 8
#TopicDiffTypeYear
1 Algebra 4.7 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.8 proof — open
4 Algebra 4.9 proof — open
5 Algebra 5.0 proof — open
6 Algebra 5.0 proof — open
7 Geometry 5.1 proof — open
8 Algebra 5.2 proof — open
9 Geometry 5.3 proof — open
10 Geometry 5.5 proof — open
11 Algebra 5.5 proof — open
12 Number theory 5.5 proof — open
13 Number theory 5.6 proof — open
14 Number theory 5.6 proof — open
15 Number theory 5.6 proof — open
16 Algebra 5.6 proof — open
17 Number theory 5.8 proof — open
18 Geometry 5.8 proof — open
19 Number theory 5.9 proof — open
20 Geometry 5.9 proof — open
21 Geometry 6.0 proof — open
22 Geometry 6.0 proof — open
23 Geometry 6.0 proof — open
24 Number theory 6.1 proof — open
25 Number theory 6.1 proof — open
26 Algebra 6.1 proof — open
27 Geometry 6.3 proof — open
28 Combinatorics 6.3 proof — open
29 Combinatorics 6.3 proof — open
30 Geometry 6.3 proof — open
31 Algebra 6.4 proof — open
32 Geometry 6.6 proof — open
33 Geometry 6.7 proof — open
34 Geometry 6.8 proof — open
35 Geometry 7.0 proof — open
36 Combinatorics 7.5 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.