Maths Olympiad Prep

Library /IMO Hk TST

IMO Hk TST

119 problems here, rated 6.9 to 9.1 on our scale (National Olympiad to IMO level). 119 of them ask for a proof.

Algebra 27Combinatorics 28Geometry 46Number theory 18
#TopicDiffTypeYear
1 Geometry 6.9 proof — open
2 Geometry 7.0 proof — open
3 Algebra 7.0 proof — open
4 Number theory 7.0 proof 1997 open
5 Number theory 7.1 proof — open
6 Algebra 7.1 proof — open
7 Geometry 7.2 proof — open
8 Geometry 7.3 proof — open
9 Geometry 7.3 proof — open
10 Algebra 7.3 proof — open
11 Geometry 7.3 proof — open
12 Combinatorics 7.4 proof — open
13 Algebra 7.4 proof — open
14 Algebra 7.4 proof 1997 open
15 Number theory 7.4 proof — open
16 Algebra 7.5 proof — open
17 Algebra 7.5 proof — open
18 Algebra 7.5 proof — open
19 Number theory 7.5 proof — open
20 Geometry 7.6 proof — open
21 Geometry 7.6 proof — open
22 Geometry 7.6 proof — open
23 Geometry 7.6 proof — open
24 Geometry 7.6 proof — open
25 Geometry 7.6 proof — open
26 Number theory 7.6 proof — open
27 Algebra 7.6 proof — open
28 Algebra 7.6 proof — open
29 Geometry 7.6 proof — open
30 Combinatorics 7.6 proof — open
31 Algebra 7.6 proof — open
32 Combinatorics 7.7 proof — open
33 Combinatorics 7.7 proof — open
34 Combinatorics 7.7 proof — open
35 Geometry 7.7 proof — open
36 Geometry 7.7 proof — open
37 Combinatorics 7.7 proof — open
38 Geometry 7.7 proof 1997 open
39 Geometry 7.7 proof — open
40 Geometry 7.7 proof — open
41 Number theory 7.7 proof — open
42 Geometry 7.7 proof — open
43 Geometry 7.7 proof — open
44 Algebra 7.7 proof — open
45 Number theory 7.7 proof — open
46 Combinatorics 7.7 proof 1997 open
47 Geometry 7.7 proof — open
48 Geometry 7.8 proof — open
49 Algebra 7.8 proof — open
50 Number theory 7.8 proof — open
51 Geometry 7.8 proof — open
52 Combinatorics 7.8 proof — open
53 Algebra 7.8 proof — open
54 Combinatorics 7.8 proof — open
55 Combinatorics 7.8 proof 1997 open
56 Geometry 7.8 proof — open
57 Combinatorics 7.8 proof — open
58 Geometry 7.9 proof 1997 open
59 Geometry 7.9 proof 1997 open
60 Geometry 8.0 proof — open
61 Number theory 8.0 proof — open
62 Combinatorics 8.0 proof — open
63 Number theory 8.0 proof — open
64 Algebra 8.0 proof — open
65 Algebra 8.0 proof — open
66 Combinatorics 8.0 proof — open
67 Algebra 8.0 proof — open
68 Geometry 8.0 proof — open
69 Combinatorics 8.0 proof — open
70 Geometry 8.0 proof 1997 open
71 Number theory 8.1 proof 1997 open
72 Algebra 8.1 proof 1997 open
73 Combinatorics 8.1 proof 1997 open
74 Geometry 8.1 proof — open
75 Algebra 8.1 proof — open
76 Algebra 8.2 proof — open
77 Geometry 8.2 proof — open
78 Geometry 8.2 proof — open
79 Number theory 8.2 proof 1997 open
80 Algebra 8.2 proof — open
81 Algebra 8.2 proof — open
82 Geometry 8.2 proof 1997 open
83 Number theory 8.2 proof — open
84 Algebra 8.2 proof — open
85 Number theory 8.2 proof 1997 open
86 Geometry 8.2 proof 1997 open
87 Geometry 8.3 proof — open
88 Number theory 8.3 proof — open
89 Geometry 8.3 proof — open
90 Combinatorics 8.3 proof — open
91 Number theory 8.3 proof — open
92 Combinatorics 8.3 proof — open
93 Algebra 8.3 proof — open
94 Combinatorics 8.3 proof — open
95 Geometry 8.3 proof — open
96 Combinatorics 8.3 proof — open
97 Combinatorics 8.4 proof — open
98 Geometry 8.4 proof — open
99 Algebra 8.4 proof — open
100 Combinatorics 8.4 proof 1997 open
101 Number theory 8.4 proof — open
102 Combinatorics 8.4 proof — open
103 Geometry 8.4 proof — open
104 Geometry 8.4 proof — open
105 Combinatorics 8.4 proof 1997 open
106 Combinatorics 8.4 proof — open
107 Geometry 8.5 proof — open
108 Algebra 8.5 proof — open
109 Combinatorics 8.5 proof — open
110 Geometry 8.5 proof 1997 open
111 Geometry 8.5 proof — open
112 Geometry 8.6 proof — open
113 Number theory 8.6 proof — open
114 Geometry 8.7 proof 1997 open
115 Algebra 8.8 proof — open
116 Geometry 8.9 proof — open
117 Combinatorics 9.0 proof — open
118 Combinatorics 9.1 proof 1997 open
119 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.