Maths Olympiad Prep

Library /Selection Examinations for the IMO

Selection Examinations for the IMO

27 problems here, rated 7.1 to 8.8 on our scale (National Olympiad, round 2 to Shortlist). 27 of them ask for a proof. Years covered: 2012–2015.

Algebra 8Combinatorics 2Geometry 9Number theory 8
#TopicDiffTypeYear
1 Number theory 7.1 proof 2012 open
2 Number theory 7.5 proof — open
3 Algebra 7.6 proof 2012 open
4 Number theory 7.6 proof — open
5 Geometry 7.8 proof — open
6 Algebra 7.8 proof — open
7 Geometry 7.8 proof — open
8 Geometry 7.8 proof 2013 open
9 Geometry 7.9 proof 2012 open
10 Number theory 7.9 proof 2013 open
11 Number theory 7.9 proof 2013 open
12 Combinatorics 7.9 proof 2012 open
13 Number theory 8.0 proof 2015 open
14 Algebra 8.1 proof — open
15 Combinatorics 8.2 proof 2013 open
16 Number theory 8.2 proof — open
17 Geometry 8.3 proof 2012 open
18 Algebra 8.3 proof — open
19 Geometry 8.3 proof — open
20 Number theory 8.3 proof 2015 open
21 Algebra 8.3 proof 2013 open
22 Algebra 8.3 proof 2012 open
23 Algebra 8.3 proof — open
24 Geometry 8.4 proof — open
25 Geometry 8.6 proof — open
26 Algebra 8.7 proof — open
27 Geometry 8.8 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.