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Library /Ukrainian National Mathematical Olympiad, 3rd Round

Ukrainian National Mathematical Olympiad, 3rd Round

24 problems here, rated 4.7 to 6.1 on our scale (AIME to National Olympiad). 24 of them ask for a proof.

Algebra 10Combinatorics 1Geometry 6Number theory 7
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Geometry 4.9 proof — open
3 Number theory 4.9 proof — open
4 Geometry 4.9 proof — open
5 Algebra 4.9 proof — open
6 Geometry 5.0 proof — open
7 Number theory 5.0 proof — open
8 Number theory 5.1 proof — open
9 Algebra 5.1 proof — open
10 Algebra 5.2 proof — open
11 Number theory 5.2 proof — open
12 Number theory 5.2 proof — open
13 Algebra 5.2 proof — open
14 Algebra 5.2 proof — open
15 Algebra 5.3 proof — open
16 Number theory 5.3 proof — open
17 Geometry 5.5 proof — open
18 Algebra 5.5 proof — open
19 Algebra 5.6 proof — open
20 Geometry 5.6 proof — open
21 Number theory 5.6 proof — open
22 Algebra 5.8 proof — open
23 Algebra 5.9 proof — open
24 Combinatorics 6.1 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.