Maths Olympiad Prep

Library /India — Team Selection Test

India — Team Selection Test

63 problems here, rated 4.5 to 9.1 on our scale (AIME to IMO level). 63 of them ask for a proof. Years covered: 2006–2016.

Algebra 24Combinatorics 8Geometry 22Number theory 9
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Algebra 4.6 proof 2009 open
3 Algebra 4.6 proof 2009 open
4 Geometry 4.6 proof 2013 open
5 Algebra 4.8 proof 2013 open
6 Algebra 4.9 proof 2007 open
7 Algebra 5.0 proof 2012 open
8 Algebra 5.0 proof 2013 open
9 Geometry 5.0 proof 2010 open
10 Geometry 5.1 proof 2009 open
11 Geometry 5.1 proof 2012 open
12 Geometry 5.2 proof 2009 open
13 Geometry 5.2 proof 2007 open
14 Geometry 5.2 proof 2007 open
15 Geometry 5.3 proof 2009 open
16 Combinatorics 5.3 proof 2012 open
17 Algebra 5.4 proof 2009 open
18 Number theory 5.4 proof 2013 open
19 Combinatorics 5.4 proof 2013 open
20 Number theory 5.4 proof 2010 open
21 Combinatorics 5.4 proof 2007 open
22 Geometry 5.4 proof — open
23 Algebra 5.4 proof 2013 open
24 Geometry 5.5 proof 2008 open
25 Geometry 5.5 proof 2009 open
26 Geometry 5.5 proof 2006 open
27 Number theory 5.5 proof 2010 open
28 Number theory 5.5 proof 2012 open
29 Algebra 5.6 proof 2012 open
30 Algebra 5.6 proof 2007 open
31 Algebra 5.6 proof 2010 open
32 Algebra 5.6 proof 2012 open
33 Algebra 5.6 proof 2008 open
34 Geometry 5.7 proof — open
35 Geometry 5.8 proof 2016 open
36 Geometry 5.9 proof 2008 open
37 Geometry 5.9 proof 2008 open
38 Algebra 6.0 proof — open
39 Number theory 6.0 proof 2012 open
40 Combinatorics 6.0 proof — open
41 Algebra 6.1 proof 2012 open
42 Algebra 6.1 proof — open
43 Algebra 6.1 proof 2008 open
44 Geometry 6.2 proof — open
45 Algebra 6.5 proof — open
46 Algebra 6.5 proof — open
47 Number theory 6.7 proof 2008 open
48 Number theory 6.9 proof 2008 open
49 Combinatorics 7.0 proof 2008 open
50 Combinatorics 7.0 proof — open
51 Algebra 7.2 proof 2008 open
52 Algebra 7.4 proof — open
53 Algebra 7.8 proof — open
54 Geometry 7.8 proof — open
55 Geometry 8.3 proof — open
56 Geometry 8.4 proof — open
57 Number theory 8.4 proof — open
58 Algebra 8.6 proof — open
59 Algebra 8.8 proof — open
60 Combinatorics 8.8 proof — open
61 Combinatorics 8.8 proof — open
62 Geometry 8.9 proof — open
63 Number theory 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.