Maths Olympiad Prep

Library /PMO Area Stage

PMO Area Stage

12 problems here, rated 4.5 to 7.2 on our scale (AIME to National Olympiad, round 2). 10 of them ask for a proof.

Algebra 6Combinatorics 1Geometry 2Number theory 3
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Number theory 4.5 proof — open
3 Number theory 4.6 answer — open
4 Geometry 4.9 answer — open
5 Algebra 6.2 proof — open
6 Algebra 6.2 proof — open
7 Algebra 6.4 proof — open
8 Number theory 6.5 proof — open
9 Algebra 6.5 proof — open
10 Combinatorics 6.8 proof — open
11 Algebra 6.8 proof — open
12 Algebra 7.2 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.