Maths Olympiad Prep

Library /JBMO Shortlist

JBMO Shortlist

27 problems here, rated 4.3 to 7.7 on our scale (AIME to National Olympiad, round 2). 27 of them ask for a proof.

Algebra 5Combinatorics 3Geometry 13Number theory 6
#TopicDiffTypeYear
1 Geometry 4.3 proof — open
2 Geometry 4.5 proof — open
3 Algebra 4.9 proof — open
4 Geometry 5.0 proof — open
5 Algebra 5.2 proof — open
6 Geometry 5.3 proof — open
7 Algebra 5.4 proof — open
8 Geometry 5.5 proof — open
9 Geometry 5.5 proof — open
10 Number theory 5.5 proof — open
11 Number theory 5.6 proof — open
12 Combinatorics 5.6 proof — open
13 Geometry 5.6 proof — open
14 Number theory 5.7 proof — open
15 Number theory 5.7 proof — open
16 Number theory 5.7 proof — open
17 Geometry 5.8 proof — open
18 Combinatorics 6.0 proof — open
19 Number theory 6.1 proof — open
20 Algebra 6.3 proof — open
21 Geometry 6.3 proof — open
22 Geometry 6.4 proof — open
23 Combinatorics 6.7 proof — open
24 Geometry 6.8 proof — open
25 Geometry 7.2 proof — open
26 Algebra 7.5 proof — open
27 Geometry 7.7 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.