Maths Olympiad Prep

Library /MMO2025 Round 4

MMO2025 Round 4

17 problems here, rated 5 to 7.6 on our scale (AIME, harder to National olympiad, round 2). 17 of them ask for a proof.

Algebra 3Combinatorics 3Geometry 6Number theory 5
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Geometry 5.1 proof — open
3 Number theory 5.2 proof — open
4 Algebra 5.2 proof — open
5 Number theory 5.4 proof — open
6 Algebra 5.4 proof — open
7 Combinatorics 5.5 proof — open
8 Geometry 5.7 proof — open
9 Number theory 5.7 proof — open
10 Geometry 5.7 proof — open
11 Number theory 5.7 proof — open
12 Geometry 6.4 proof — open
13 Number theory 6.6 proof — open
14 Geometry 6.7 proof — open
15 Geometry 6.7 proof — open
16 Combinatorics 7.4 proof — open
17 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.