Maths Olympiad Prep

Library /IRL ABooklet

IRL ABooklet

191 problems here, rated 4.3 to 7.8 on our scale (AIME to National Olympiad, round 2). 189 of them ask for a proof.

Algebra 60Combinatorics 37Geometry 60Number theory 34
#TopicDiffTypeYear
1 Geometry 4.3 proof — open
2 Geometry 4.4 proof — open
3 Geometry 4.4 proof — open
4 Geometry 4.4 proof — open
5 Geometry 4.5 proof — open
6 Geometry 4.5 proof — open
7 Algebra 4.5 proof — open
8 Algebra 4.5 proof — open
9 Geometry 4.6 proof — open
10 Algebra 4.6 proof — open
11 Algebra 4.6 proof — open
12 Algebra 4.6 proof — open
13 Algebra 4.7 proof — open
14 Number theory 4.7 proof — open
15 Algebra 4.7 proof — open
16 Algebra 4.8 proof — open
17 Algebra 4.8 proof — open
18 Geometry 4.8 proof — open
19 Algebra 4.9 proof — open
20 Geometry 4.9 proof — open
21 Combinatorics 5.0 proof — open
22 Algebra 5.0 answer — open
23 Algebra 5.0 proof — open
24 Number theory 5.0 proof — open
25 Geometry 5.0 proof — open
26 Geometry 5.0 proof — open
27 Number theory 5.0 proof — open
28 Number theory 5.0 proof — open
29 Number theory 5.1 proof — open
30 Algebra 5.1 proof — open
31 Algebra 5.1 proof — open
32 Algebra 5.1 proof — open
33 Geometry 5.1 proof — open
34 Algebra 5.1 proof — open
35 Geometry 5.2 proof — open
36 Algebra 5.2 proof — open
37 Geometry 5.2 proof — open
38 Geometry 5.2 proof — open
39 Algebra 5.2 proof — open
40 Number theory 5.2 proof — open
41 Algebra 5.2 proof — open
42 Number theory 5.2 proof — open
43 Geometry 5.3 proof — open
44 Combinatorics 5.3 proof — open
45 Algebra 5.3 proof — open
46 Geometry 5.3 proof — open
47 Algebra 5.3 answer — open
48 Geometry 5.3 proof — open
49 Combinatorics 5.3 proof — open
50 Geometry 5.4 proof — open
51 Algebra 5.4 proof — open
52 Geometry 5.4 proof — open
53 Algebra 5.4 proof — open
54 Algebra 5.4 proof — open
55 Geometry 5.4 proof — open
56 Geometry 5.4 proof — open
57 Geometry 5.4 proof — open
58 Algebra 5.4 proof — open
59 Geometry 5.4 proof — open
60 Algebra 5.4 proof — open
61 Geometry 5.4 proof — open
62 Combinatorics 5.5 proof — open
63 Algebra 5.5 proof — open
64 Combinatorics 5.6 proof — open
65 Geometry 5.6 proof — open
66 Algebra 5.6 proof — open
67 Geometry 5.6 proof — open
68 Number theory 5.6 proof — open
69 Number theory 5.6 proof — open
70 Number theory 5.6 proof — open
71 Number theory 5.6 proof — open
72 Geometry 5.7 proof — open
73 Number theory 5.7 proof — open
74 Geometry 5.7 proof — open
75 Number theory 5.7 proof — open
76 Number theory 5.8 proof — open
77 Number theory 5.8 proof — open
78 Algebra 5.8 proof — open
79 Number theory 5.8 proof — open
80 Combinatorics 5.8 proof — open
81 Number theory 5.8 proof — open
82 Combinatorics 5.8 proof — open
83 Number theory 5.8 proof — open
84 Number theory 5.8 proof — open
85 Geometry 5.8 proof — open
86 Combinatorics 5.8 proof — open
87 Geometry 5.9 proof — open
88 Geometry 5.9 proof — open
89 Algebra 5.9 proof — open
90 Algebra 5.9 proof — open
91 Algebra 5.9 proof — open
92 Algebra 5.9 proof — open
93 Number theory 5.9 proof — open
94 Algebra 5.9 proof — open
95 Algebra 5.9 proof — open
96 Geometry 5.9 proof — open
97 Number theory 6.0 proof — open
98 Algebra 6.0 proof — open
99 Geometry 6.0 proof — open
100 Geometry 6.0 proof — open
101 Algebra 6.0 proof — open
102 Number theory 6.0 proof — open
103 Number theory 6.0 proof — open
104 Combinatorics 6.0 proof — open
105 Geometry 6.0 proof — open
106 Algebra 6.0 proof — open
107 Algebra 6.0 proof — open
108 Number theory 6.0 proof — open
109 Algebra 6.1 proof — open
110 Number theory 6.1 proof — open
111 Algebra 6.1 proof — open
112 Algebra 6.1 proof — open
113 Geometry 6.1 proof — open
114 Algebra 6.1 proof — open
115 Algebra 6.1 proof — open
116 Geometry 6.1 proof — open
117 Algebra 6.1 proof — open
118 Algebra 6.1 proof — open
119 Number theory 6.2 proof — open
120 Combinatorics 6.2 proof — open
121 Combinatorics 6.3 proof — open
122 Geometry 6.3 proof — open
123 Algebra 6.3 proof — open
124 Geometry 6.3 proof — open
125 Geometry 6.3 proof — open
126 Geometry 6.3 proof — open
127 Geometry 6.3 proof — open
128 Algebra 6.3 proof — open
129 Geometry 6.4 proof — open
130 Combinatorics 6.4 proof — open
131 Geometry 6.4 proof — open
132 Algebra 6.4 proof — open
133 Geometry 6.5 proof — open
134 Algebra 6.5 proof — open
135 Combinatorics 6.5 proof — open
136 Geometry 6.5 proof — open
137 Geometry 6.5 proof — open
138 Number theory 6.5 proof — open
139 Algebra 6.6 proof — open
140 Combinatorics 6.6 proof — open
141 Algebra 6.6 proof — open
142 Number theory 6.6 proof — open
143 Geometry 6.7 proof — open
144 Combinatorics 6.7 proof — open
145 Algebra 6.7 proof — open
146 Geometry 6.7 proof — open
147 Combinatorics 6.7 proof — open
148 Geometry 6.7 proof — open
149 Algebra 6.7 proof — open
150 Algebra 6.7 proof — open
151 Geometry 6.8 proof — open
152 Algebra 6.8 proof — open
153 Geometry 6.8 proof — open
154 Combinatorics 6.8 proof — open
155 Combinatorics 6.9 proof — open
156 Geometry 6.9 proof — open
157 Number theory 6.9 proof — open
158 Geometry 6.9 proof — open
159 Combinatorics 7.0 proof — open
160 Number theory 7.0 proof — open
161 Combinatorics 7.0 proof — open
162 Combinatorics 7.0 proof — open
163 Combinatorics 7.1 proof — open
164 Algebra 7.1 proof — open
165 Number theory 7.1 proof — open
166 Combinatorics 7.1 proof — open
167 Number theory 7.1 proof — open
168 Combinatorics 7.2 proof — open
169 Combinatorics 7.2 proof — open
170 Combinatorics 7.2 proof — open
171 Number theory 7.2 proof — open
172 Geometry 7.2 proof — open
173 Combinatorics 7.2 proof — open
174 Combinatorics 7.2 proof — open
175 Algebra 7.3 proof — open
176 Combinatorics 7.3 proof — open
177 Algebra 7.3 proof — open
178 Number theory 7.3 proof — open
179 Combinatorics 7.3 proof — open
180 Combinatorics 7.5 proof — open
181 Geometry 7.5 proof — open
182 Geometry 7.6 proof — open
183 Geometry 7.6 proof — open
184 Geometry 7.6 proof — open
185 Combinatorics 7.6 proof — open
186 Combinatorics 7.6 proof — open
187 Combinatorics 7.6 proof — open
188 Combinatorics 7.7 proof — open
189 Combinatorics 7.7 proof — open
190 Combinatorics 7.8 proof — open
191 Algebra 7.8 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.