Maths Olympiad Prep

Library /Team selection test for 47. IMO

Team selection test for 47. IMO

11 problems here, rated 7.5 to 9 on our scale (National Olympiad, round 2 to IMO level). 11 of them ask for a proof.

Algebra 3Combinatorics 2Geometry 3Number theory 3
#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 Number theory 8.2 proof open
7 Geometry 8.4 proof open
8 Geometry 8.5 proof open
9 Geometry 8.8 proof open
10 Number theory 8.9 proof open
11 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.