Maths Olympiad Prep

Library /Russia — Regional Round

Russia — Regional Round

42 problems here, rated 4.5 to 7.6 on our scale (AIME to National Olympiad, round 2). 42 of them ask for a proof.

Algebra 11Combinatorics 9Geometry 16Number theory 6
#TopicDiffTypeYear
1 Algebra 4.5 proof open
2 Geometry 4.5 proof open
3 Algebra 4.6 proof open
4 Number theory 4.7 proof open
5 Algebra 5.0 proof open
6 Number theory 5.1 proof open
7 Combinatorics 5.2 proof open
8 Algebra 5.2 proof open
9 Geometry 5.3 proof open
10 Combinatorics 5.3 proof open
11 Geometry 5.4 proof open
12 Geometry 5.4 proof open
13 Geometry 5.5 proof open
14 Geometry 5.5 proof open
15 Algebra 5.6 proof open
16 Algebra 5.7 proof open
17 Geometry 5.7 proof open
18 Geometry 5.7 proof open
19 Geometry 5.8 proof open
20 Combinatorics 5.8 proof open
21 Geometry 5.8 proof open
22 Combinatorics 6.0 proof open
23 Number theory 6.2 proof open
24 Combinatorics 6.2 proof open
25 Geometry 6.2 proof open
26 Algebra 6.3 proof open
27 Algebra 6.3 proof open
28 Geometry 6.3 proof open
29 Geometry 6.4 proof open
30 Algebra 6.6 proof open
31 Geometry 6.6 proof open
32 Number theory 6.7 proof open
33 Geometry 6.7 proof open
34 Algebra 6.8 proof open
35 Geometry 6.8 proof open
36 Number theory 6.8 proof open
37 Combinatorics 6.9 proof open
38 Combinatorics 7.0 proof open
39 Combinatorics 7.0 proof open
40 Number theory 7.3 proof open
41 Combinatorics 7.5 proof open
42 Algebra 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.