Maths Olympiad Prep

Library /Ukrainian National Mathematical Olympiad - Third Round

Ukrainian National Mathematical Olympiad - Third Round

18 problems here, rated 4.7 to 7 on our scale (AIME to National Olympiad, round 2). 18 of them ask for a proof.

Algebra 6Combinatorics 3Geometry 7Number theory 2
#TopicDiffTypeYear
1 Algebra 4.7 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.9 proof — open
4 Algebra 5.0 proof — open
5 Algebra 5.0 proof — open
6 Geometry 5.1 proof — open
7 Number theory 5.1 proof — open
8 Combinatorics 5.2 proof — open
9 Combinatorics 5.3 proof — open
10 Number theory 5.3 proof — open
11 Geometry 5.3 proof — open
12 Algebra 5.3 proof — open
13 Geometry 5.5 proof — open
14 Geometry 5.7 proof — open
15 Geometry 5.7 proof — open
16 Geometry 5.8 proof — open
17 Combinatorics 6.3 proof — open
18 Geometry 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.