Maths Olympiad Prep

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Canadian Mathematical Olympiad

61 problems here, rated 4.6 to 7.9 on our scale (AIME to National Olympiad, round 2). 61 of them ask for a proof.

Algebra 16Combinatorics 16Geometry 13Number theory 16
#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 Number theory 6.2 proof — open
21 Combinatorics 6.2 proof — open
22 Number theory 6.2 proof — open
23 Combinatorics 6.3 proof — open
24 Algebra 6.3 proof — open
25 Algebra 6.3 proof — open
26 Algebra 6.3 proof — open
27 Number theory 6.3 proof — open
28 Number theory 6.4 proof — open
29 Algebra 6.4 proof — open
30 Geometry 6.5 proof — open
31 Algebra 6.5 proof — open
32 Algebra 6.5 proof — open
33 Number theory 6.5 proof — open
34 Number theory 6.5 proof — open
35 Combinatorics 6.5 proof — open
36 Algebra 6.6 proof — open
37 Geometry 6.8 proof — open
38 Number theory 6.8 proof — open
39 Algebra 6.8 proof — open
40 Number theory 6.9 proof — open
41 Combinatorics 6.9 proof — open
42 Combinatorics 6.9 proof — open
43 Geometry 6.9 proof — open
44 Algebra 7.0 proof — open
45 Geometry 7.1 proof — open
46 Combinatorics 7.1 proof — open
47 Combinatorics 7.3 proof — open
48 Algebra 7.4 proof — open
49 Algebra 7.4 proof — open
50 Combinatorics 7.4 proof — open
51 Algebra 7.5 proof — open
52 Combinatorics 7.5 proof — open
53 Combinatorics 7.5 proof — open
54 Number theory 7.5 proof — open
55 Geometry 7.5 proof — open
56 Number theory 7.6 proof — open
57 Combinatorics 7.7 proof — open
58 Algebra 7.7 proof — open
59 Combinatorics 7.7 proof — open
60 Combinatorics 7.8 proof — open
61 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.