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.