Maths Olympiad Prep

Library /Mongolian National Mathematical Olympiad

Mongolian National Mathematical Olympiad

31 problems here, rated 4.8 to 7.5 on our scale (AIME to National Olympiad, round 2). 31 of them ask for a proof.

Algebra 10Combinatorics 4Geometry 11Number theory 6
#TopicDiffTypeYear
1 Algebra 4.8 proof — open
2 Geometry 4.9 proof — open
3 Number theory 4.9 proof — open
4 Geometry 4.9 proof — open
5 Algebra 5.0 proof — open
6 Algebra 5.0 proof — open
7 Number theory 5.0 proof — open
8 Number theory 5.1 proof — open
9 Number theory 5.1 proof — open
10 Algebra 5.2 proof — open
11 Geometry 5.5 proof — open
12 Number theory 5.5 proof — open
13 Geometry 5.6 proof — open
14 Geometry 5.6 proof — open
15 Geometry 5.6 proof — open
16 Algebra 5.7 proof — open
17 Algebra 5.8 proof — open
18 Algebra 5.8 proof — open
19 Geometry 5.8 proof — open
20 Combinatorics 5.9 proof — open
21 Geometry 5.9 proof — open
22 Algebra 5.9 proof — open
23 Algebra 6.0 proof — open
24 Combinatorics 6.0 proof — open
25 Algebra 6.4 proof — open
26 Geometry 6.5 proof — open
27 Geometry 6.8 proof — open
28 Number theory 6.9 proof — open
29 Geometry 7.0 proof — open
30 Combinatorics 7.2 proof — open
31 Combinatorics 7.5 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.