Maths Olympiad Prep

Library /IMO Hk TST

IMO Hk TST

136 problems here, rated 6.9 to 9.2 on our scale (National Olympiad to IMO level). 136 of them ask for a proof.

Algebra 32Combinatorics 32Geometry 50Number theory 22
#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 Geometry 7.3 proof — open
11 Algebra 7.3 proof — open
12 Geometry 7.3 proof — open
13 Combinatorics 7.4 proof — open
14 Geometry 7.4 proof — open
15 Algebra 7.4 proof — open
16 Algebra 7.4 proof 1997 open
17 Number theory 7.4 proof — open
18 Algebra 7.5 proof — open
19 Algebra 7.5 proof — open
20 Number theory 7.5 proof — open
21 Algebra 7.5 proof — open
22 Number theory 7.5 proof — open
23 Number theory 7.5 proof — open
24 Geometry 7.6 proof — open
25 Geometry 7.6 proof — open
26 Geometry 7.6 proof — open
27 Number theory 7.6 proof — open
28 Geometry 7.6 proof — open
29 Geometry 7.6 proof — open
30 Geometry 7.6 proof — open
31 Number theory 7.6 proof — open
32 Algebra 7.6 proof — open
33 Algebra 7.6 proof — open
34 Geometry 7.6 proof — open
35 Combinatorics 7.6 proof — open
36 Algebra 7.6 proof — open
37 Combinatorics 7.7 proof — open
38 Combinatorics 7.7 proof — open
39 Combinatorics 7.7 proof — open
40 Geometry 7.7 proof — open
41 Geometry 7.7 proof — open
42 Combinatorics 7.7 proof — open
43 Geometry 7.7 proof — open
44 Geometry 7.7 proof 1997 open
45 Geometry 7.7 proof — open
46 Geometry 7.7 proof — open
47 Number theory 7.7 proof — open
48 Geometry 7.7 proof — open
49 Geometry 7.7 proof — open
50 Algebra 7.7 proof — open
51 Number theory 7.7 proof — open
52 Algebra 7.7 proof 1997 open
53 Combinatorics 7.7 proof — open
54 Combinatorics 7.7 proof 1997 open
55 Geometry 7.7 proof — open
56 Geometry 7.7 proof — open
57 Geometry 7.8 proof — open
58 Algebra 7.8 proof — open
59 Algebra 7.8 proof — open
60 Algebra 7.8 proof — open
61 Number theory 7.8 proof — open
62 Combinatorics 7.8 proof — open
63 Geometry 7.8 proof — open
64 Combinatorics 7.8 proof — open
65 Algebra 7.8 proof — open
66 Combinatorics 7.8 proof — open
67 Combinatorics 7.8 proof 1997 open
68 Combinatorics 7.8 proof — open
69 Geometry 7.8 proof — open
70 Combinatorics 7.8 proof — open
71 Number theory 7.9 proof — open
72 Geometry 7.9 proof 1997 open
73 Geometry 7.9 proof 1997 open
74 Geometry 8.0 proof — open
75 Number theory 8.0 proof — open
76 Combinatorics 8.0 proof — open
77 Number theory 8.0 proof — open
78 Algebra 8.0 proof — open
79 Algebra 8.0 proof — open
80 Combinatorics 8.0 proof — open
81 Algebra 8.0 proof — open
82 Geometry 8.0 proof — open
83 Combinatorics 8.0 proof — open
84 Geometry 8.0 proof 1997 open
85 Number theory 8.1 proof 1997 open
86 Algebra 8.1 proof 1997 open
87 Combinatorics 8.1 proof 1997 open
88 Geometry 8.1 proof — open
89 Algebra 8.1 proof — open
90 Algebra 8.2 proof — open
91 Geometry 8.2 proof — open
92 Geometry 8.2 proof — open
93 Number theory 8.2 proof 1997 open
94 Algebra 8.2 proof — open
95 Algebra 8.2 proof — open
96 Geometry 8.2 proof 1997 open
97 Number theory 8.2 proof — open
98 Algebra 8.2 proof — open
99 Number theory 8.2 proof 1997 open
100 Geometry 8.2 proof 1997 open
101 Geometry 8.3 proof — open
102 Algebra 8.3 proof — open
103 Number theory 8.3 proof — open
104 Geometry 8.3 proof — open
105 Combinatorics 8.3 proof — open
106 Number theory 8.3 proof — open
107 Combinatorics 8.3 proof — open
108 Algebra 8.3 proof — open
109 Combinatorics 8.3 proof — open
110 Geometry 8.3 proof — open
111 Combinatorics 8.3 proof — open
112 Combinatorics 8.4 proof — open
113 Geometry 8.4 proof — open
114 Combinatorics 8.4 proof 1997 open
115 Algebra 8.4 proof — open
116 Combinatorics 8.4 proof 1997 open
117 Number theory 8.4 proof — open
118 Combinatorics 8.4 proof — open
119 Geometry 8.4 proof — open
120 Geometry 8.4 proof — open
121 Combinatorics 8.4 proof 1997 open
122 Combinatorics 8.4 proof — open
123 Geometry 8.5 proof — open
124 Algebra 8.5 proof — open
125 Combinatorics 8.5 proof — open
126 Geometry 8.5 proof 1997 open
127 Geometry 8.5 proof — open
128 Geometry 8.6 proof — open
129 Number theory 8.6 proof — open
130 Geometry 8.7 proof 1997 open
131 Algebra 8.8 proof — open
132 Geometry 8.9 proof — open
133 Combinatorics 9.0 proof — open
134 Combinatorics 9.1 proof 1997 open
135 Combinatorics 9.1 proof — open
136 Algebra 9.2 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.