Maths Olympiad Prep

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Austria competition problems

39 problems here, rated 4.4 to 7.4 on our scale (AIME to National Olympiad, round 2). 39 of them ask for a proof. Years covered: 2010–2014.

Algebra 16Combinatorics 4Geometry 12Number theory 7
#TopicDiffTypeYear
1 Geometry 4.4 proof — open
2 Number theory 4.5 proof 2010 open
3 Algebra 4.6 proof 2014 open
4 Algebra 4.6 proof 2010 open
5 Algebra 4.8 proof 2014 open
6 Number theory 4.8 proof 2014 open
7 Algebra 4.9 proof 2010 open
8 Algebra 5.0 proof 2014 open
9 Geometry 5.0 proof 2014 open
10 Algebra 5.3 proof 2010 open
11 Geometry 5.3 proof 2014 open
12 Algebra 5.5 proof 2010 open
13 Geometry 5.5 proof 2010 open
14 Algebra 5.5 proof 2014 open
15 Algebra 5.6 proof 2014 open
16 Number theory 5.7 proof 2010 open
17 Combinatorics 5.7 proof 2010 open
18 Geometry 5.7 proof 2010 open
19 Algebra 5.8 proof 2014 open
20 Algebra 5.9 proof — open
21 Algebra 5.9 proof 2010 open
22 Algebra 5.9 proof 2014 open
23 Number theory 6.0 proof 2014 open
24 Algebra 6.1 proof — open
25 Number theory 6.2 proof 2010 open
26 Number theory 6.2 proof 2014 open
27 Geometry 6.3 proof 2014 open
28 Combinatorics 6.5 proof 2010 open
29 Number theory 6.5 proof — open
30 Geometry 6.6 proof 2014 open
31 Geometry 6.6 proof 2014 open
32 Geometry 6.7 proof 2014 open
33 Geometry 6.7 proof 2010 open
34 Combinatorics 6.7 proof — open
35 Algebra 6.7 proof 2010 open
36 Geometry 6.8 proof 2010 open
37 Geometry 7.0 proof — open
38 Algebra 7.2 proof 2010 open
39 Combinatorics 7.4 proof 2010 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.