Maths Olympiad Prep

Library /CEMC Hypatia

CEMC Hypatia

77 problems here, rated 1 to 4.1 on our scale (Junior to AIME). 77 of them ask for a proof. Years covered: 2003–2026.

Algebra 37Combinatorics 5Geometry 27Number theory 8
#TopicDiffTypeYear
1 Algebra 1.0 proof 2018 open
2 Algebra 1.0 proof 2016 open
3 Algebra 2.0 proof 2009 open
4 Algebra 2.0 proof 2009 open
5 Geometry 2.0 proof 2008 open
6 Algebra 2.0 proof 2010 open
7 Geometry 2.0 proof 2008 open
8 Algebra 2.0 proof 2009 open
9 Algebra 2.0 proof 2008 open
10 Algebra 2.0 proof 2008 open
11 Number theory 2.0 proof 2011 open
12 Geometry 2.0 proof 2008 open
13 Geometry 2.0 proof 2004 open
14 Algebra 2.0 proof 2010 open
15 Geometry 2.0 proof 2008 open
16 Algebra 2.0 proof 2010 open
17 Algebra 2.0 proof 2008 open
18 Algebra 2.0 proof 2008 open
19 Algebra 2.0 proof 2009 open
20 Algebra 2.0 proof 2009 open
21 Algebra 2.0 proof 2009 open
22 Algebra 2.0 proof 2010 open
23 Algebra 2.0 proof 2010 open
24 Algebra 2.0 proof 2009 open
25 Geometry 2.0 proof 2011 open
26 Algebra 2.0 proof 2009 open
27 Geometry 2.0 proof 2008 open
28 Algebra 2.0 proof 2024 open
29 Algebra 2.0 proof 2025 open
30 Algebra 2.0 proof 2021 open
31 Geometry 2.0 proof 2026 open
32 Algebra 2.1 proof 2014 open
33 Geometry 2.1 proof 2016 open
34 Algebra 2.1 proof 2025 open
35 Combinatorics 3.0 proof 2003 open
36 Geometry 3.0 proof 2009 open
37 Geometry 3.0 proof 2009 open
38 Algebra 3.0 proof 2004 open
39 Geometry 3.0 proof 2005 open
40 Geometry 3.0 proof 2009 open
41 Geometry 3.0 proof 2009 open
42 Number theory 3.0 proof 2006 open
43 Number theory 3.0 proof 2011 open
44 Geometry 3.0 proof 2006 open
45 Geometry 3.0 proof 2009 open
46 Geometry 3.0 proof 2009 open
47 Geometry 3.0 proof 2004 open
48 Algebra 3.0 proof 2004 open
49 Geometry 3.0 proof 2004 open
50 Combinatorics 3.0 proof 2003 open
51 Combinatorics 3.0 proof 2013 open
52 Geometry 3.0 proof 2012 open
53 Algebra 3.0 proof 2014 open
54 Algebra 3.0 proof 2023 open
55 Geometry 3.0 proof 2017 open
56 Geometry 3.0 proof 2022 open
57 Algebra 3.0 proof 2015 open
58 Geometry 3.1 proof 2021 open
59 Algebra 3.1 proof 2012 open
60 Number theory 3.1 proof 2024 open
61 Algebra 3.1 proof 2022 open
62 Combinatorics 3.1 proof 2017 open
63 Algebra 3.1 proof 2013 open
64 Number theory 3.1 proof 2015 open
65 Algebra 4.0 proof 2020 open
66 Algebra 4.1 proof 2020 open
67 Algebra 4.1 proof 2018 open
68 Number theory 4.1 proof 2026 open
69 Geometry 4.1 proof 2014 open
70 Combinatorics 4.1 proof 2015 open
71 Number theory 4.1 proof 2016 open
72 Geometry 4.1 proof 2012 open
73 Algebra 4.1 proof 2022 open
74 Algebra 4.1 proof 2017 open
75 Geometry 4.1 proof 2024 open
76 Geometry 4.1 proof 2013 open
77 Number theory 4.1 proof 2012 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.