Maths Olympiad Prep

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Shortlist JBMO

21 problems here, rated 4.4 to 5.5 on our scale (AIME to AIME, harder). 21 of them ask for a proof. Years covered: 2007–2009.

Algebra 7Geometry 6Number theory 8
#TopicDiffTypeYear
1 Number theory 4.4 proof 2007 open
2 Geometry 4.4 proof 2007 open
3 Geometry 4.5 proof 2007 open
4 Number theory 4.6 proof 2007 open
5 Algebra 4.6 proof 2007 open
6 Number theory 4.7 proof 2008 open
7 Geometry 4.7 proof 2009 open
8 Number theory 4.7 proof 2008 open
9 Number theory 4.8 proof 2008 open
10 Algebra 5.0 proof 2008 open
11 Geometry 5.0 proof 2009 open
12 Algebra 5.0 proof 2009 open
13 Algebra 5.0 proof 2008 open
14 Algebra 5.2 proof 2008 open
15 Geometry 5.2 proof 2009 open
16 Algebra 5.3 proof 2009 open
17 Algebra 5.3 proof 2008 open
18 Geometry 5.4 proof 2008 open
19 Number theory 5.5 proof 2009 open
20 Number theory 5.5 proof 2008 open
21 Number theory 5.5 proof 2009 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.