Maths Olympiad Prep

Library /Team selection test for 47. IMO

Team selection test for 47. IMO

9 problems here, rated 7.5 to 9 on our scale (National Olympiad, round 2 to IMO level). 9 of them ask for a proof.

Algebra 3Combinatorics 2Geometry 2Number theory 2
#TopicDiffTypeYear
1 Number theory 7.5 proof — open
2 Combinatorics 7.5 proof — open
3 Algebra 8.1 proof — open
4 Algebra 8.1 proof — open
5 Combinatorics 8.1 proof — open
6 Geometry 8.5 proof — open
7 Geometry 8.8 proof — open
8 Number theory 8.9 proof — open
9 Algebra 9.0 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.