Maths Olympiad Prep

Library /United States — Team Selection Test

United States — Team Selection Test

40 problems here, rated 7.3 to 9.1 on our scale (National Olympiad, round 2 to IMO level). 40 of them ask for a proof. Years covered: 2009–2010.

Algebra 7Combinatorics 11Geometry 15Number theory 7
#TopicDiffTypeYear
1 Algebra 7.3 proof — open
2 Algebra 7.4 proof — open
3 Geometry 7.4 proof 2010 open
4 Geometry 7.5 proof 2009 open
5 Combinatorics 7.8 proof 2010 open
6 Algebra 8.0 proof 2009 open
7 Number theory 8.1 proof 2009 open
8 Algebra 8.2 proof — open
9 Combinatorics 8.2 proof — open
10 Number theory 8.2 proof — open
11 Number theory 8.3 proof — open
12 Geometry 8.3 proof — open
13 Geometry 8.4 proof — open
14 Combinatorics 8.4 proof — open
15 Geometry 8.4 proof — open
16 Combinatorics 8.4 proof — open
17 Geometry 8.4 proof — open
18 Geometry 8.4 proof — open
19 Geometry 8.4 proof — open
20 Combinatorics 8.4 proof — open
21 Number theory 8.5 proof 2010 open
22 Number theory 8.5 proof 2010 open
23 Geometry 8.5 proof 2010 open
24 Combinatorics 8.5 proof 2010 open
25 Combinatorics 8.6 proof — open
26 Algebra 8.6 proof 2009 open
27 Geometry 8.6 proof 2010 open
28 Geometry 8.6 proof — open
29 Algebra 8.7 proof — open
30 Combinatorics 8.7 proof 2009 open
31 Geometry 8.7 proof — open
32 Geometry 8.8 proof — open
33 Geometry 8.8 proof 2009 open
34 Geometry 8.9 proof — open
35 Number theory 8.9 proof 2009 open
36 Combinatorics 9.0 proof — open
37 Number theory 9.0 proof — open
38 Algebra 9.1 proof — open
39 Combinatorics 9.1 proof — open
40 Combinatorics 9.1 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.