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Library /Ukrainian National Mathematical Olympiad, 4th Round

Ukrainian National Mathematical Olympiad, 4th Round

20 problems here, rated 4.8 to 6.4 on our scale (AIME to National Olympiad). 20 of them ask for a proof.

Algebra 10Combinatorics 3Geometry 4Number theory 3
#TopicDiffTypeYear
1 Algebra 4.8 proof — open
2 Algebra 4.9 proof — open
3 Algebra 4.9 proof — open
4 Algebra 5.0 proof — open
5 Algebra 5.0 proof — open
6 Algebra 5.1 proof — open
7 Geometry 5.3 proof — open
8 Algebra 5.3 proof — open
9 Algebra 5.4 proof — open
10 Number theory 5.5 proof — open
11 Geometry 5.6 proof — open
12 Combinatorics 5.7 proof — open
13 Geometry 5.7 proof — open
14 Number theory 5.8 proof — open
15 Number theory 5.8 proof — open
16 Geometry 5.9 proof — open
17 Algebra 5.9 proof — open
18 Algebra 6.0 proof — open
19 Combinatorics 6.0 proof — open
20 Combinatorics 6.4 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.