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Library /Ukrainian National Mathematical Olympiad - Fourth Round

Ukrainian National Mathematical Olympiad - Fourth Round

18 problems here, rated 5.1 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 18 of them ask for a proof.

Algebra 4Combinatorics 4Geometry 6Number theory 4
#TopicDiffTypeYear
1 Geometry 5.1 proof — open
2 Algebra 5.2 proof — open
3 Number theory 5.2 proof — open
4 Algebra 5.3 proof — open
5 Geometry 5.6 proof — open
6 Number theory 5.6 proof — open
7 Number theory 5.8 proof — open
8 Geometry 6.0 proof — open
9 Algebra 6.1 proof — open
10 Number theory 6.2 proof — open
11 Geometry 6.3 proof — open
12 Geometry 6.4 proof — open
13 Algebra 6.5 proof — open
14 Combinatorics 6.5 proof — open
15 Combinatorics 6.6 proof — open
16 Combinatorics 6.7 proof — open
17 Geometry 6.7 proof — open
18 Combinatorics 7.7 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.