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.