Maths Olympiad Prep

Library /India — Team Selection Test

India — Team Selection Test

77 problems here, rated 4.5 to 8.9 on our scale (AIME to Shortlist). 77 of them ask for a proof. Years covered: 2006–2016.

Algebra 21Combinatorics 15Geometry 27Number theory 14
#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 5.1 proof 2009 open
10 Geometry 5.1 proof 2012 open
11 Geometry 5.2 proof 2009 open
12 Geometry 5.2 proof 2007 open
13 Geometry 5.2 proof 2007 open
14 Geometry 5.3 proof 2009 open
15 Combinatorics 5.3 proof 2012 open
16 Algebra 5.4 proof 2009 open
17 Number theory 5.4 proof 2013 open
18 Combinatorics 5.4 proof 2013 open
19 Number theory 5.4 proof 2010 open
20 Combinatorics 5.4 proof 2007 open
21 Geometry 5.4 proof — open
22 Algebra 5.4 proof 2013 open
23 Geometry 5.5 proof 2008 open
24 Geometry 5.5 proof 2009 open
25 Geometry 5.5 proof 2006 open
26 Number theory 5.5 proof 2010 open
27 Number theory 5.5 proof 2012 open
28 Algebra 5.6 proof 2007 open
29 Algebra 5.6 proof 2010 open
30 Algebra 5.6 proof 2012 open
31 Geometry 5.6 proof 2006 open
32 Number theory 5.6 proof 2006 open
33 Algebra 5.6 proof 2008 open
34 Geometry 5.7 proof 2010 open
35 Geometry 5.8 proof 2016 open
36 Algebra 5.9 proof 2007 open
37 Geometry 5.9 proof 2008 open
38 Geometry 5.9 proof 2009 open
39 Number theory 6.0 proof 2012 open
40 Combinatorics 6.0 proof 2006 open
41 Number theory 6.1 proof 2007 open
42 Algebra 6.1 proof 2012 open
43 Algebra 6.1 proof 2008 open
44 Geometry 6.2 proof — open
45 Geometry 6.2 proof 2006 open
46 Algebra 6.2 proof 2009 open
47 Geometry 6.3 proof 2013 open
48 Combinatorics 6.3 proof 2013 open
49 Combinatorics 6.4 proof 2009 open
50 Combinatorics 6.6 proof 2010 open
51 Combinatorics 6.6 proof 2006 open
52 Number theory 6.7 proof 2008 open
53 Number theory 6.7 proof 2006 open
54 Number theory 6.8 proof 2007 open
55 Geometry 6.8 proof 2010 open
56 Combinatorics 6.8 proof 2006 open
57 Combinatorics 6.8 proof 2006 open
58 Geometry 6.9 proof 2006 open
59 Number theory 6.9 proof 2008 open
60 Combinatorics 7.0 proof 2008 open
61 Number theory 7.1 proof 2006 open
62 Combinatorics 7.1 proof 2007 open
63 Combinatorics 7.1 proof 2006 open
64 Number theory 7.1 proof 2009 open
65 Algebra 7.2 proof 2008 open
66 Geometry 7.3 proof 2007 open
67 Algebra 7.4 proof — open
68 Combinatorics 7.5 proof 2009 open
69 Algebra 7.8 proof — open
70 Geometry 7.8 proof — open
71 Geometry 8.3 proof — open
72 Geometry 8.4 proof — open
73 Number theory 8.4 proof — open
74 Algebra 8.6 proof — open
75 Algebra 8.8 proof — open
76 Combinatorics 8.8 proof — open
77 Geometry 8.9 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.