Maths Olympiad Prep

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Croatian Mathematical Olympiad

37 problems here, rated 5.2 to 7.3 on our scale (AIME, harder to National Olympiad, round 2). 37 of them ask for a proof.

Algebra 7Combinatorics 10Geometry 9Number theory 11
#TopicDiffTypeYear
1 Number theory 5.2 proof — open
2 Number theory 5.3 proof — open
3 Algebra 5.4 proof — open
4 Algebra 5.4 proof — open
5 Algebra 5.6 proof — open
6 Number theory 5.6 proof — open
7 Number theory 5.6 proof — open
8 Algebra 5.7 proof — open
9 Number theory 5.7 proof — open
10 Number theory 5.8 proof — open
11 Algebra 6.0 proof — open
12 Number theory 6.0 proof — open
13 Number theory 6.1 proof — open
14 Geometry 6.1 proof — open
15 Number theory 6.1 proof — open
16 Number theory 6.2 proof — open
17 Geometry 6.3 proof — open
18 Combinatorics 6.3 proof — open
19 Algebra 6.4 proof — open
20 Combinatorics 6.4 proof — open
21 Geometry 6.4 proof — open
22 Geometry 6.6 proof — open
23 Geometry 6.6 proof — open
24 Combinatorics 6.7 proof — open
25 Geometry 6.7 proof — open
26 Combinatorics 6.8 proof — open
27 Algebra 6.8 proof — open
28 Combinatorics 6.9 proof — open
29 Combinatorics 7.0 proof — open
30 Geometry 7.0 proof — open
31 Combinatorics 7.0 proof — open
32 Number theory 7.1 proof — open
33 Geometry 7.1 proof — open
34 Combinatorics 7.1 proof — open
35 Geometry 7.2 proof — open
36 Combinatorics 7.3 proof — open
37 Combinatorics 7.3 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.