Maths Olympiad Prep

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Brazilian Math Olympiad

66 problems here, rated 3.8 to 7.6 on our scale (AMC 10/12 to National Olympiad, round 2). 65 of them ask for a proof.

Algebra 18Combinatorics 15Geometry 20Number theory 13
#TopicDiffTypeYear
1 Algebra 3.8 answer — open
2 Geometry 4.4 proof — open
3 Geometry 4.5 proof — open
4 Geometry 4.5 proof — open
5 Geometry 4.5 proof — open
6 Geometry 4.5 proof — open
7 Algebra 4.6 proof — open
8 Geometry 4.7 proof — open
9 Number theory 4.7 proof — open
10 Geometry 4.7 proof — open
11 Algebra 4.7 proof — open
12 Geometry 4.8 proof — open
13 Algebra 4.8 proof — open
14 Algebra 4.9 proof — open
15 Number theory 5.0 proof — open
16 Combinatorics 5.1 proof — open
17 Number theory 5.3 proof — open
18 Geometry 5.3 proof — open
19 Number theory 5.3 proof — open
20 Number theory 5.4 proof — open
21 Algebra 5.4 proof — open
22 Algebra 5.4 proof — open
23 Combinatorics 5.4 proof — open
24 Combinatorics 5.5 proof — open
25 Geometry 5.5 proof — open
26 Combinatorics 5.5 proof — open
27 Geometry 5.5 proof — open
28 Geometry 5.6 proof — open
29 Geometry 5.6 proof — open
30 Number theory 5.6 proof — open
31 Number theory 5.6 proof — open
32 Algebra 5.6 proof — open
33 Combinatorics 5.7 proof — open
34 Combinatorics 5.7 proof — open
35 Number theory 5.7 proof — open
36 Geometry 5.7 proof — open
37 Geometry 5.7 proof — open
38 Algebra 5.8 proof — open
39 Number theory 5.9 proof — open
40 Combinatorics 5.9 proof — open
41 Number theory 6.0 proof — open
42 Combinatorics 6.2 proof — open
43 Algebra 6.2 proof — open
44 Combinatorics 6.2 proof — open
45 Algebra 6.3 proof — open
46 Geometry 6.5 proof — open
47 Algebra 6.5 proof — open
48 Combinatorics 6.5 proof — open
49 Geometry 6.5 proof — open
50 Number theory 6.6 proof — open
51 Algebra 6.7 proof — open
52 Geometry 6.8 proof — open
53 Combinatorics 6.8 proof — open
54 Geometry 6.8 proof — open
55 Number theory 6.9 proof — open
56 Combinatorics 6.9 proof — open
57 Algebra 6.9 proof — open
58 Geometry 6.9 proof — open
59 Algebra 7.0 proof — open
60 Number theory 7.0 proof — open
61 Algebra 7.0 proof — open
62 Algebra 7.1 proof — open
63 Combinatorics 7.2 proof — open
64 Combinatorics 7.3 proof — open
65 Algebra 7.3 proof — open
66 Combinatorics 7.6 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.