Maths Olympiad Prep

Library /Ukrainian National Mathematical Olympiad, Third Round, First Tour

Ukrainian National Mathematical Olympiad, Third Round, First Tour

20 problems here, rated 4.8 to 7.9 on our scale (AIME to National Olympiad, round 2). 20 of them ask for a proof.

Algebra 5Combinatorics 3Geometry 5Number theory 7
#TopicDiffTypeYear
1 Geometry 4.8 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.9 proof — open
4 Geometry 4.9 proof — open
5 Algebra 5.1 proof — open
6 Algebra 5.1 proof — open
7 Number theory 5.1 proof — open
8 Combinatorics 5.2 proof — open
9 Number theory 5.3 proof — open
10 Algebra 5.3 proof — open
11 Geometry 5.4 proof — open
12 Number theory 5.6 proof — open
13 Geometry 5.8 proof — open
14 Number theory 5.8 proof — open
15 Combinatorics 6.0 proof — open
16 Number theory 6.0 proof — open
17 Number theory 6.0 proof — open
18 Geometry 6.0 proof — open
19 Number theory 7.0 proof — open
20 Combinatorics 7.9 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.