Maths Olympiad Prep

Library /NMO Selection Tests for the Junior Balkan Mathematical Olympiad

NMO Selection Tests for the Junior Balkan Mathematical Olympiad

15 problems here, rated 4.5 to 7 on our scale (AIME to National olympiad, round 2). 15 of them ask for a proof.

Algebra 2Combinatorics 3Geometry 6Number theory 4
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Number theory 4.5 proof — open
3 Geometry 4.6 proof — open
4 Algebra 4.6 proof — open
5 Algebra 4.7 proof — open
6 Geometry 5.0 proof — open
7 Geometry 5.2 proof — open
8 Geometry 5.2 proof — open
9 Number theory 5.4 proof — open
10 Number theory 5.5 proof — open
11 Combinatorics 5.7 proof — open
12 Combinatorics 6.1 proof — open
13 Number theory 6.2 proof — open
14 Geometry 6.4 proof — open
15 Combinatorics 7.0 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.