Maths Olympiad Prep

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Austrian Mathematical Olympiad

54 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 53 of them ask for a proof.

Algebra 12Combinatorics 9Geometry 17Number theory 16
#TopicDiffTypeYear
1 Number theory 4.7 proof — open
2 Geometry 4.8 proof — open
3 Geometry 4.8 proof — open
4 Algebra 4.9 proof — open
5 Geometry 4.9 proof — open
6 Algebra 4.9 proof — open
7 Algebra 4.9 proof — open
8 Geometry 4.9 proof — open
9 Combinatorics 4.9 answer — open
10 Algebra 5.0 proof — open
11 Number theory 5.0 proof — open
12 Number theory 5.0 proof — open
13 Number theory 5.1 proof — open
14 Geometry 5.1 proof — open
15 Combinatorics 5.2 proof — open
16 Algebra 5.2 proof — open
17 Algebra 5.3 proof — open
18 Geometry 5.3 proof — open
19 Number theory 5.3 proof — open
20 Algebra 5.3 proof — open
21 Algebra 5.4 proof — open
22 Geometry 5.4 proof — open
23 Geometry 5.5 proof — open
24 Number theory 5.6 proof — open
25 Number theory 5.7 proof — open
26 Number theory 5.7 proof — open
27 Number theory 5.7 proof — open
28 Geometry 5.8 proof — open
29 Geometry 5.8 proof — open
30 Number theory 5.8 proof — open
31 Number theory 5.8 proof — open
32 Combinatorics 5.9 proof — open
33 Algebra 6.0 proof — open
34 Combinatorics 6.1 proof — open
35 Geometry 6.2 proof — open
36 Number theory 6.3 proof — open
37 Geometry 6.4 proof — open
38 Combinatorics 6.5 proof — open
39 Geometry 6.5 proof — open
40 Geometry 6.5 proof — open
41 Geometry 6.5 proof — open
42 Algebra 6.6 proof — open
43 Algebra 6.6 proof — open
44 Combinatorics 6.7 proof — open
45 Number theory 6.7 proof — open
46 Combinatorics 6.7 proof — open
47 Algebra 6.7 proof — open
48 Geometry 6.8 proof — open
49 Geometry 6.8 proof — open
50 Number theory 6.8 proof — open
51 Number theory 6.9 proof — open
52 Combinatorics 7.1 proof — open
53 Combinatorics 7.4 proof — open
54 Number theory 7.5 proof — 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.