Maths Olympiad Prep

Library /Danube Mathematical Competition

Danube Mathematical Competition

34 problems here, rated 4.5 to 6.9 on our scale (AIME to National Olympiad). 34 of them ask for a proof. Years covered: 2010–2015.

Algebra 8Combinatorics 8Geometry 9Number theory 9
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.6 proof 2014 open
3 Number theory 4.6 proof 2014 open
4 Combinatorics 4.7 proof 2010 open
5 Algebra 4.7 proof — open
6 Algebra 4.9 proof — open
7 Number theory 4.9 proof 2015 open
8 Algebra 5.0 proof 2014 open
9 Geometry 5.2 proof — open
10 Combinatorics 5.3 proof — open
11 Combinatorics 5.3 proof — open
12 Combinatorics 5.3 proof 2015 open
13 Number theory 5.4 proof 2010 open
14 Number theory 5.4 proof — open
15 Algebra 5.5 proof 2014 open
16 Number theory 5.6 proof 2014 open
17 Number theory 5.6 proof — open
18 Geometry 5.7 proof — open
19 Combinatorics 5.8 proof — open
20 Number theory 5.8 proof — open
21 Combinatorics 5.8 proof 2014 open
22 Number theory 5.9 proof — open
23 Geometry 6.0 proof — open
24 Number theory 6.0 proof — open
25 Geometry 6.1 proof 2010 open
26 Geometry 6.1 proof — open
27 Algebra 6.3 proof — open
28 Algebra 6.4 proof 2010 open
29 Geometry 6.4 proof — open
30 Algebra 6.5 proof — open
31 Combinatorics 6.5 proof — open
32 Combinatorics 6.6 proof — open
33 Algebra 6.6 proof — open
34 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.