Maths Olympiad Prep

Library /European Mathematical Cup

European Mathematical Cup

26 problems here, rated 5 to 7.8 on our scale (AIME, harder to National Olympiad, round 2). 14 of them ask for a proof.

Algebra 12Combinatorics 3Geometry 4Number theory 7
#TopicDiffTypeYear
1 Number theory 5.0 proof — open
2 Algebra 5.2 proof — open
3 Number theory 6.2 answer — open
4 Algebra 6.3 proof — open
5 Geometry 6.4 proof — open
6 Number theory 6.4 answer — open
7 Algebra 6.5 answer — open
8 Number theory 6.5 proof — open
9 Number theory 6.5 answer — open
10 Algebra 6.5 proof — open
11 Geometry 6.6 proof — open
12 Algebra 6.6 answer — open
13 Algebra 6.6 answer — open
14 Algebra 6.7 answer — open
15 Algebra 6.8 answer — open
16 Algebra 6.8 answer — open
17 Algebra 6.8 answer — open
18 Geometry 7.1 answer — open
19 Number theory 7.1 proof — open
20 Algebra 7.2 answer — open
21 Geometry 7.3 proof — open
22 Algebra 7.3 proof — open
23 Combinatorics 7.3 proof — open
24 Combinatorics 7.4 proof — open
25 Number theory 7.5 proof — open
26 Combinatorics 7.8 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.