Maths Olympiad Prep

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Canadian Mathematical Olympiad

57 problems here, rated 4.6 to 7.9 on our scale (AIME to National Olympiad, round 2). 57 of them ask for a proof.

Algebra 14Combinatorics 16Geometry 13Number theory 14
#TopicDiffTypeYear
1 Geometry 4.6 proof — open
2 Geometry 4.8 proof — open
3 Combinatorics 5.2 proof — open
4 Number theory 5.5 proof — open
5 Number theory 5.7 proof — open
6 Algebra 5.8 proof — open
7 Algebra 5.9 proof — open
8 Number theory 5.9 proof — open
9 Number theory 6.0 proof — open
10 Number theory 6.0 proof — open
11 Geometry 6.0 proof — open
12 Geometry 6.0 proof — open
13 Number theory 6.0 proof — open
14 Algebra 6.0 proof — open
15 Combinatorics 6.0 proof — open
16 Geometry 6.0 proof — open
17 Geometry 6.0 proof — open
18 Geometry 6.1 proof — open
19 Geometry 6.2 proof — open
20 Combinatorics 6.2 proof — open
21 Number theory 6.2 proof — open
22 Combinatorics 6.3 proof — open
23 Algebra 6.3 proof — open
24 Algebra 6.3 proof — open
25 Number theory 6.3 proof — open
26 Algebra 6.4 proof — open
27 Geometry 6.5 proof — open
28 Algebra 6.5 proof — open
29 Number theory 6.5 proof — open
30 Number theory 6.5 proof — open
31 Combinatorics 6.5 proof — open
32 Algebra 6.6 proof — open
33 Geometry 6.8 proof — open
34 Number theory 6.8 proof — open
35 Algebra 6.8 proof — open
36 Number theory 6.9 proof — open
37 Combinatorics 6.9 proof — open
38 Combinatorics 6.9 proof — open
39 Geometry 6.9 proof — open
40 Algebra 7.0 proof — open
41 Geometry 7.1 proof — open
42 Combinatorics 7.1 proof — open
43 Combinatorics 7.3 proof — open
44 Algebra 7.4 proof — open
45 Algebra 7.4 proof — open
46 Combinatorics 7.4 proof — open
47 Algebra 7.5 proof — open
48 Combinatorics 7.5 proof — open
49 Combinatorics 7.5 proof — open
50 Number theory 7.5 proof — open
51 Geometry 7.5 proof — open
52 Number theory 7.6 proof — open
53 Combinatorics 7.7 proof — open
54 Algebra 7.7 proof — open
55 Combinatorics 7.7 proof — open
56 Combinatorics 7.8 proof — open
57 Combinatorics 7.9 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.