Maths Olympiad Prep

Library /XLIII Russian mathematical olympiad

XLIII Russian mathematical olympiad

25 problems here, rated 4.9 to 7.6 on our scale (AIME to National olympiad, round 2). 25 of them ask for a proof.

Algebra 4Combinatorics 6Geometry 11Number theory 4
#TopicDiffTypeYear
1 Algebra 4.9 proof — open
2 Geometry 4.9 proof — open
3 Geometry 5.3 proof — open
4 Algebra 5.4 proof — open
5 Algebra 5.4 proof — open
6 Geometry 5.5 proof — open
7 Geometry 5.6 proof — open
8 Geometry 5.7 proof — open
9 Geometry 5.8 proof — open
10 Combinatorics 6.0 proof — open
11 Geometry 6.1 proof — open
12 Geometry 6.3 proof — open
13 Geometry 6.4 proof — open
14 Geometry 6.4 proof — open
15 Combinatorics 6.6 proof — open
16 Number theory 6.7 proof — open
17 Number theory 6.8 proof — open
18 Number theory 6.8 proof — open
19 Combinatorics 6.8 proof — open
20 Combinatorics 6.8 proof — open
21 Algebra 7.1 proof — open
22 Number theory 7.2 proof — open
23 Combinatorics 7.3 proof — open
24 Geometry 7.5 proof — open
25 Combinatorics 7.6 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.