Maths Olympiad Prep

Library /The Danube Mathematical Competition

The Danube Mathematical Competition

28 problems here, rated 4.5 to 6.9 on our scale (AIME to National Olympiad). 28 of them ask for a proof.

Algebra 7Combinatorics 6Geometry 8Number theory 7
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.6 proof 2014 open
3 Number theory 4.6 proof 2014 open
4 Algebra 4.7 proof — open
5 Algebra 4.9 proof — open
6 Algebra 5.0 proof 2014 open
7 Geometry 5.2 proof — open
8 Combinatorics 5.3 proof — open
9 Combinatorics 5.3 proof — open
10 Number theory 5.4 proof — open
11 Algebra 5.5 proof 2014 open
12 Number theory 5.6 proof 2014 open
13 Number theory 5.6 proof — open
14 Geometry 5.7 proof — open
15 Combinatorics 5.8 proof — open
16 Number theory 5.8 proof — open
17 Combinatorics 5.8 proof 2014 open
18 Number theory 5.9 proof — open
19 Geometry 6.0 proof — open
20 Number theory 6.0 proof — open
21 Geometry 6.1 proof — open
22 Algebra 6.3 proof — open
23 Geometry 6.4 proof — open
24 Algebra 6.5 proof — open
25 Combinatorics 6.5 proof — open
26 Combinatorics 6.6 proof — open
27 Algebra 6.6 proof — open
28 Geometry 6.9 proof 2014 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.