Maths Olympiad Prep

Library /India — Team Selection Test

India — Team Selection Test

91 problems here, rated 4.5 to 9.1 on our scale (AIME to IMO level). 91 of them ask for a proof. Years covered: 2006–2016.

Algebra 27Combinatorics 18Geometry 30Number theory 16
#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 Geometry 5.6 proof 2006 open
34 Number theory 5.6 proof 2006 open
35 Algebra 5.6 proof 2008 open
36 Geometry 5.7 proof 2010 open
37 Geometry 5.7 proof — open
38 Geometry 5.8 proof 2016 open
39 Algebra 5.9 proof 2007 open
40 Geometry 5.9 proof 2008 open
41 Geometry 5.9 proof 2008 open
42 Geometry 5.9 proof 2009 open
43 Algebra 6.0 proof — open
44 Number theory 6.0 proof 2009 open
45 Number theory 6.0 proof 2012 open
46 Combinatorics 6.0 proof 2006 open
47 Combinatorics 6.0 proof — open
48 Number theory 6.1 proof 2007 open
49 Algebra 6.1 proof 2012 open
50 Algebra 6.1 proof — open
51 Algebra 6.1 proof 2008 open
52 Geometry 6.2 proof — open
53 Geometry 6.2 proof 2006 open
54 Algebra 6.2 proof 2009 open
55 Geometry 6.3 proof 2013 open
56 Combinatorics 6.3 proof 2013 open
57 Combinatorics 6.4 proof 2009 open
58 Algebra 6.5 proof — open
59 Algebra 6.5 proof — open
60 Combinatorics 6.6 proof 2010 open
61 Combinatorics 6.6 proof 2006 open
62 Number theory 6.7 proof 2008 open
63 Number theory 6.7 proof 2006 open
64 Number theory 6.8 proof 2007 open
65 Algebra 6.8 proof 2007 open
66 Geometry 6.8 proof 2010 open
67 Combinatorics 6.8 proof 2006 open
68 Combinatorics 6.8 proof 2006 open
69 Geometry 6.9 proof 2006 open
70 Number theory 6.9 proof 2008 open
71 Combinatorics 7.0 proof 2008 open
72 Combinatorics 7.0 proof — open
73 Number theory 7.1 proof 2006 open
74 Combinatorics 7.1 proof 2007 open
75 Combinatorics 7.1 proof 2006 open
76 Number theory 7.1 proof 2009 open
77 Algebra 7.2 proof 2008 open
78 Geometry 7.3 proof 2007 open
79 Algebra 7.4 proof — open
80 Combinatorics 7.5 proof 2009 open
81 Algebra 7.8 proof — open
82 Geometry 7.8 proof — open
83 Geometry 8.3 proof — open
84 Geometry 8.4 proof — open
85 Number theory 8.4 proof — open
86 Algebra 8.6 proof — open
87 Algebra 8.8 proof — open
88 Combinatorics 8.8 proof — open
89 Combinatorics 8.8 proof — open
90 Geometry 8.9 proof — open
91 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.