Maths Olympiad Prep

Library /IMO Shortlist

IMO Shortlist

144 problems here, rated 6.8 to 9.1 on our scale (National olympiad to IMO level).

Algebra 64Combinatorics 37Geometry 13Number theory 30
#TopicDiffTypeYear
1 Algebra 6.8 answer open
2 Number theory 7.1 answer open
3 Algebra 7.2 answer open
4 Combinatorics 7.3 answer open
5 Combinatorics 7.4 answer open
6 Number theory 7.5 answer open
7 Algebra 7.5 answer open
8 Combinatorics 7.5 answer open
9 Number theory 7.5 answer open
10 Algebra 7.5 answer open
11 Algebra 7.5 answer open
12 Number theory 7.6 answer open
13 Combinatorics 7.6 answer open
14 Number theory 7.6 answer open
15 Algebra 7.6 answer open
16 Number theory 7.6 answer open
17 Combinatorics 7.6 answer open
18 Algebra 7.7 answer open
19 Geometry 7.7 answer open
20 Number theory 7.7 answer open
21 Algebra 7.7 answer open
22 Combinatorics 7.7 answer open
23 Combinatorics 7.7 answer open
24 Number theory 7.8 answer open
25 Combinatorics 7.8 answer open
26 Geometry 7.8 answer open
27 Geometry 7.8 answer open
28 Algebra 7.8 answer open
29 Number theory 7.8 answer open
30 Algebra 7.8 answer open
31 Algebra 7.8 answer open
32 Algebra 7.8 answer open
33 Geometry 7.9 answer open
34 Algebra 7.9 answer open
35 Algebra 7.9 answer open
36 Algebra 7.9 answer open
37 Algebra 7.9 answer open
38 Algebra 7.9 answer open
39 Algebra 7.9 answer open
40 Number theory 7.9 answer open
41 Algebra 7.9 answer open
42 Combinatorics 7.9 answer open
43 Algebra 8.0 answer open
44 Algebra 8.0 answer open
45 Algebra 8.0 answer open
46 Algebra 8.0 answer open
47 Algebra 8.0 answer open
48 Number theory 8.0 answer open
49 Combinatorics 8.0 answer open
50 Algebra 8.0 answer open
51 Algebra 8.0 answer open
52 Algebra 8.1 answer open
53 Geometry 8.1 answer open
54 Geometry 8.1 answer open
55 Combinatorics 8.1 answer open
56 Algebra 8.1 answer open
57 Algebra 8.1 answer open
58 Algebra 8.1 answer open
59 Number theory 8.1 answer open
60 Number theory 8.1 answer open
61 Number theory 8.2 answer open
62 Number theory 8.2 answer open
63 Algebra 8.2 answer open
64 Number theory 8.2 answer open
65 Number theory 8.2 answer open
66 Number theory 8.2 answer open
67 Combinatorics 8.2 answer open
68 Algebra 8.2 answer open
69 Algebra 8.2 answer open
70 Algebra 8.2 answer open
71 Number theory 8.2 answer open
72 Geometry 8.2 answer open
73 Algebra 8.2 answer open
74 Algebra 8.2 answer open
75 Combinatorics 8.2 answer open
76 Number theory 8.3 answer open
77 Combinatorics 8.3 answer open
78 Combinatorics 8.3 answer open
79 Number theory 8.3 answer open
80 Number theory 8.3 answer open
81 Algebra 8.3 answer open
82 Algebra 8.3 answer open
83 Algebra 8.3 answer open
84 Algebra 8.3 answer open
85 Combinatorics 8.4 answer open
86 Algebra 8.4 answer open
87 Combinatorics 8.4 answer open
88 Algebra 8.4 answer open
89 Combinatorics 8.4 answer open
90 Algebra 8.4 answer open
91 Number theory 8.4 answer open
92 Number theory 8.4 answer open
93 Algebra 8.4 answer open
94 Combinatorics 8.4 answer open
95 Algebra 8.4 answer open
96 Algebra 8.5 answer open
97 Combinatorics 8.5 answer open
98 Algebra 8.5 answer open
99 Geometry 8.5 answer open
100 Number theory 8.5 answer open
101 Combinatorics 8.5 answer open
102 Algebra 8.5 answer open
103 Algebra 8.5 answer open
104 Algebra 8.5 answer open
105 Combinatorics 8.5 answer open
106 Geometry 8.5 answer open
107 Geometry 8.5 answer open
108 Combinatorics 8.6 answer open
109 Combinatorics 8.6 answer open
110 Algebra 8.6 answer open
111 Algebra 8.6 answer open
112 Algebra 8.6 answer open
113 Number theory 8.6 answer open
114 Combinatorics 8.6 answer open
115 Algebra 8.7 answer open
116 Algebra 8.7 answer open
117 Geometry 8.7 answer open
118 Algebra 8.7 answer open
119 Combinatorics 8.7 answer open
120 Algebra 8.7 answer open
121 Algebra 8.7 answer open
122 Number theory 8.7 answer open
123 Algebra 8.7 answer open
124 Algebra 8.7 answer open
125 Combinatorics 8.8 answer open
126 Combinatorics 8.8 answer open
127 Combinatorics 8.8 answer open
128 Combinatorics 8.8 answer open
129 Geometry 8.8 answer open
130 Algebra 8.8 answer open
131 Algebra 8.8 answer open
132 Number theory 8.8 answer open
133 Number theory 8.8 answer open
134 Number theory 8.8 answer open
135 Combinatorics 8.9 answer open
136 Geometry 8.9 answer open
137 Combinatorics 8.9 answer open
138 Combinatorics 8.9 answer open
139 Algebra 8.9 answer open
140 Combinatorics 8.9 answer open
141 Algebra 9.1 answer open
142 Combinatorics 9.1 answer open
143 Combinatorics 9.1 answer open
144 Combinatorics 9.1 answer 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.