Maths Olympiad Prep

Library /HMMO

HMMO

62 problems here, rated 3.6 to 7.1 on our scale (AMC 10/12 to National Olympiad, round 2). 34 of them ask for a proof.

Algebra 11Combinatorics 21Geometry 23Number theory 7
#TopicDiffTypeYear
1 Geometry 3.6 answer 2020 open
2 Geometry 3.6 answer 2020 open
3 Geometry 3.7 answer — open
4 Combinatorics 3.9 answer 2020 open
5 Algebra 3.9 answer 2020 open
6 Number theory 4.0 answer 2020 open
7 Combinatorics 4.0 answer 2020 open
8 Geometry 4.2 answer 2020 open
9 Combinatorics 4.2 answer 2020 open
10 Geometry 4.3 answer 2020 open
11 Geometry 4.3 answer 2020 open
12 Combinatorics 4.5 answer 2020 open
13 Combinatorics 4.5 answer 2020 open
14 Number theory 4.5 proof 2020 open
15 Combinatorics 4.6 proof 2020 open
16 Combinatorics 4.6 answer 2020 open
17 Combinatorics 4.6 answer 2020 open
18 Geometry 4.7 proof — open
19 Geometry 4.7 answer 2020 open
20 Geometry 4.7 proof 2020 open
21 Geometry 4.7 proof — open
22 Number theory 4.7 answer 2020 open
23 Geometry 4.8 proof 2020 open
24 Algebra 4.9 answer 2020 open
25 Number theory 5.0 proof — open
26 Algebra 5.0 proof 2020 open
27 Geometry 5.1 proof — open
28 Combinatorics 5.3 proof — open
29 Algebra 5.3 proof — open
30 Geometry 5.3 proof — open
31 Combinatorics 5.4 proof 2020 open
32 Geometry 5.4 proof 2020 open
33 Geometry 5.4 answer 2020 open
34 Algebra 5.5 answer — open
35 Geometry 5.5 proof 2020 open
36 Combinatorics 5.5 answer 2020 open
37 Number theory 5.5 proof 2020 open
38 Combinatorics 5.6 proof 2020 open
39 Combinatorics 5.7 proof — open
40 Combinatorics 5.7 proof 2020 open
41 Geometry 5.7 proof 2020 open
42 Combinatorics 5.7 answer 2020 open
43 Geometry 5.7 answer — open
44 Combinatorics 5.8 proof 2020 open
45 Geometry 5.8 answer 2020 open
46 Algebra 5.9 answer 2020 open
47 Geometry 5.9 proof — open
48 Algebra 5.9 proof — open
49 Combinatorics 6.0 proof — open
50 Combinatorics 6.0 answer — open
51 Number theory 6.1 proof — open
52 Combinatorics 6.2 answer — open
53 Algebra 6.5 proof 2020 open
54 Algebra 6.5 answer 2020 open
55 Algebra 6.7 proof — open
56 Number theory 6.8 proof 2020 open
57 Combinatorics 6.9 proof 2020 open
58 Geometry 6.9 proof — open
59 Algebra 6.9 proof 2020 open
60 Combinatorics 7.0 proof 2020 open
61 Geometry 7.1 proof 2020 open
62 Geometry 7.1 proof 2020 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.