Maths Olympiad Prep

Library /IMO Team Selection Test 1

IMO Team Selection Test 1

13 problems here, rated 7.3 to 8.9 on our scale (National Olympiad, round 2 to Shortlist). 13 of them ask for a proof.

Algebra 5Combinatorics 2Geometry 4Number theory 2
#TopicDiffTypeYear
1 Algebra 7.3 proof — open
2 Number theory 7.7 proof — open
3 Algebra 7.8 proof — open
4 Geometry 8.1 proof — open
5 Combinatorics 8.2 proof — open
6 Geometry 8.2 proof — open
7 Algebra 8.3 proof — open
8 Geometry 8.4 proof — open
9 Geometry 8.5 proof — open
10 Algebra 8.7 proof — open
11 Number theory 8.7 proof — open
12 Algebra 8.8 proof — open
13 Combinatorics 8.9 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.