Maths Olympiad Prep

Library /HMMT

HMMT

84 problems here, rated 4.1 to 6 on our scale (AIME to National Olympiad). 73 of them ask for a proof. Years covered: 1998–2014.

Algebra 22Combinatorics 20Geometry 30Number theory 12
#TopicDiffTypeYear
1 Geometry 4.1 answer 2013 open
2 Number theory 4.2 answer 2013 open
3 Number theory 4.2 answer 2013 open
4 Algebra 4.5 answer 2013 open
5 Number theory 4.5 answer 2013 open
6 Geometry 4.6 proof 2014 open
7 Geometry 4.7 proof 2014 open
8 Geometry 4.8 proof 2013 open
9 Geometry 4.8 proof 2013 open
10 Combinatorics 4.8 answer 2013 open
11 Geometry 4.8 proof 2014 open
12 Geometry 4.9 proof 2014 open
13 Geometry 4.9 proof 2013 open
14 Geometry 4.9 proof 2014 open
15 Algebra 5.0 proof 2013 open
16 Geometry 5.0 proof 2014 open
17 Algebra 5.0 answer 1998 open
18 Geometry 5.0 proof 2013 open
19 Algebra 5.0 proof 2002 open
20 Number theory 5.0 proof 2002 open
21 Algebra 5.0 proof 2014 open
22 Combinatorics 5.0 answer 2014 open
23 Geometry 5.0 proof 2013 open
24 Geometry 5.0 proof 2013 open
25 Number theory 5.1 proof 2014 open
26 Algebra 5.1 proof — open
27 Algebra 5.1 proof 2014 open
28 Algebra 5.1 proof 2013 open
29 Algebra 5.1 proof 2014 open
30 Combinatorics 5.1 proof 2014 open
31 Algebra 5.2 proof 2002 open
32 Algebra 5.2 proof 2014 open
33 Algebra 5.2 answer 2013 open
34 Geometry 5.2 proof 2013 open
35 Algebra 5.2 proof 2014 open
36 Combinatorics 5.2 proof 2013 open
37 Combinatorics 5.2 answer 2014 open
38 Algebra 5.3 proof — open
39 Geometry 5.3 proof 2013 open
40 Algebra 5.3 answer 2014 open
41 Geometry 5.3 proof 2013 open
42 Number theory 5.3 proof 2014 open
43 Combinatorics 5.3 proof — open
44 Geometry 5.3 proof 2014 open
45 Combinatorics 5.3 proof 2014 open
46 Number theory 5.3 proof 2002 open
47 Number theory 5.3 proof 2014 open
48 Algebra 5.4 proof 2014 open
49 Geometry 5.4 proof 2014 open
50 Algebra 5.4 proof — open
51 Geometry 5.5 proof 2013 open
52 Number theory 5.5 proof — open
53 Combinatorics 5.5 proof — open
54 Combinatorics 5.5 proof 2014 open
55 Algebra 5.5 proof 2014 open
56 Geometry 5.6 proof 2013 open
57 Geometry 5.6 proof 2013 open
58 Combinatorics 5.6 proof 2014 open
59 Geometry 5.6 proof 2014 open
60 Geometry 5.6 proof 2014 open
61 Combinatorics 5.6 proof 2013 open
62 Geometry 5.7 proof 2013 open
63 Combinatorics 5.7 proof 2013 open
64 Combinatorics 5.7 proof 2014 open
65 Geometry 5.7 proof 2014 open
66 Geometry 5.7 proof 2014 open
67 Combinatorics 5.7 proof 2013 open
68 Geometry 5.8 proof 2013 open
69 Geometry 5.8 proof 2014 open
70 Algebra 5.8 proof 2014 open
71 Algebra 5.8 proof 2014 open
72 Number theory 5.8 proof 2013 open
73 Combinatorics 5.8 proof 2014 open
74 Combinatorics 5.8 proof — open
75 Number theory 5.9 proof 2013 open
76 Combinatorics 5.9 proof 2014 open
77 Combinatorics 5.9 proof — open
78 Algebra 5.9 proof 2013 open
79 Geometry 5.9 proof 2013 open
80 Combinatorics 5.9 proof 2014 open
81 Algebra 5.9 proof 2013 open
82 Geometry 6.0 proof 1998 open
83 Combinatorics 6.0 proof — open
84 Number theory 6.0 proof 1998 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.