Maths Olympiad Prep

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45 problems here, rated 4.5 to 7.3 on our scale (AIME to National olympiad, round 2). 45 of them ask for a proof.

Algebra 14Combinatorics 5Geometry 15Number theory 11
#TopicDiffTypeYear
1 Geometry 4.5 proof 2008 open
2 Algebra 4.5 proof 2008 open
3 Algebra 4.7 proof 2008 open
4 Algebra 4.8 proof 2008 open
5 Algebra 4.8 proof 2008 open
6 Algebra 4.8 proof 2008 open
7 Number theory 5.0 proof 2008 open
8 Number theory 5.0 proof 2008 open
9 Number theory 5.0 proof 2008 open
10 Algebra 5.1 proof 2008 open
11 Number theory 5.2 proof 2008 open
12 Number theory 5.3 proof 2008 open
13 Number theory 5.4 proof 2008 open
14 Geometry 5.4 proof 2008 open
15 Geometry 5.4 proof 2008 open
16 Algebra 5.4 proof 2008 open
17 Algebra 5.4 proof 2008 open
18 Algebra 5.5 proof 2008 open
19 Algebra 5.5 proof 2008 open
20 Algebra 5.5 proof 2008 open
21 Geometry 5.6 proof 2008 open
22 Number theory 5.6 proof 2008 open
23 Combinatorics 5.7 proof 2008 open
24 Number theory 5.7 proof 2008 open
25 Geometry 5.7 proof 2008 open
26 Geometry 5.7 proof 2008 open
27 Geometry 5.7 proof 2008 open
28 Geometry 5.8 proof 2008 open
29 Geometry 5.9 proof 2008 open
30 Algebra 5.9 proof 2008 open
31 Combinatorics 6.0 proof 2008 open
32 Number theory 6.1 proof 2008 open
33 Number theory 6.1 proof 2008 open
34 Algebra 6.1 proof 2008 open
35 Geometry 6.2 proof 2008 open
36 Geometry 6.2 proof 2008 open
37 Geometry 6.2 proof 2008 open
38 Geometry 6.3 proof 2008 open
39 Algebra 6.3 proof 2008 open
40 Geometry 6.5 proof 2008 open
41 Combinatorics 6.7 proof 2008 open
42 Geometry 6.7 proof 2008 open
43 Number theory 6.8 proof 2008 open
44 Combinatorics 7.2 proof 2008 open
45 Combinatorics 7.3 proof 2008 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.