Maths Olympiad Prep

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Austria competition problems

42 problems here, rated 4.4 to 7.4 on our scale (AIME to National Olympiad, round 2). 42 of them ask for a proof. Years covered: 2010–2014.

Algebra 16Combinatorics 4Geometry 13Number theory 9
#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 Number theory 5.3 proof open
12 Geometry 5.3 proof 2014 open
13 Algebra 5.5 proof 2010 open
14 Geometry 5.5 proof 2010 open
15 Algebra 5.5 proof 2014 open
16 Algebra 5.6 proof 2014 open
17 Number theory 5.7 proof 2010 open
18 Combinatorics 5.7 proof 2010 open
19 Geometry 5.7 proof 2010 open
20 Algebra 5.8 proof 2014 open
21 Number theory 5.9 proof 2014 open
22 Algebra 5.9 proof open
23 Algebra 5.9 proof 2010 open
24 Algebra 5.9 proof 2014 open
25 Number theory 6.0 proof 2014 open
26 Algebra 6.1 proof open
27 Number theory 6.2 proof 2010 open
28 Number theory 6.2 proof 2014 open
29 Geometry 6.3 proof 2014 open
30 Combinatorics 6.5 proof 2010 open
31 Number theory 6.5 proof open
32 Geometry 6.6 proof 2014 open
33 Geometry 6.6 proof 2014 open
34 Geometry 6.7 proof 2014 open
35 Geometry 6.7 proof 2010 open
36 Combinatorics 6.7 proof open
37 Algebra 6.7 proof 2010 open
38 Geometry 6.8 proof 2010 open
39 Geometry 7.0 proof open
40 Algebra 7.2 proof 2010 open
41 Geometry 7.3 proof 2010 open
42 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.