Maths Olympiad Prep

Library /Irish Mathematical Olympiad

Irish Mathematical Olympiad

236 problems here, rated 4.3 to 7.8 on our scale (AIME to National Olympiad, round 2). 236 of them ask for a proof.

Algebra 80Combinatorics 35Geometry 82Number theory 39
#TopicDiffTypeYear
1 Geometry 4.3 proof — open
2 Algebra 4.3 proof — open
3 Algebra 4.3 proof — open
4 Number theory 4.3 proof — open
5 Geometry 4.3 proof — open
6 Algebra 4.4 proof 2014 open
7 Algebra 4.4 proof — open
8 Geometry 4.4 proof 2014 open
9 Geometry 4.4 proof — open
10 Geometry 4.5 proof — open
11 Number theory 4.5 proof — open
12 Algebra 4.5 proof — open
13 Geometry 4.5 proof — open
14 Algebra 4.5 proof — open
15 Algebra 4.5 proof — open
16 Number theory 4.5 proof — open
17 Algebra 4.5 proof — open
18 Geometry 4.5 proof — open
19 Algebra 4.5 proof — open
20 Geometry 4.5 proof — open
21 Algebra 4.6 proof — open
22 Algebra 4.6 proof — open
23 Algebra 4.6 proof — open
24 Geometry 4.6 proof — open
25 Algebra 4.6 proof 2014 open
26 Algebra 4.7 proof — open
27 Algebra 4.7 proof — open
28 Number theory 4.7 proof — open
29 Geometry 4.7 proof 2014 open
30 Geometry 4.7 proof — open
31 Algebra 4.7 proof — open
32 Geometry 4.7 proof 2014 open
33 Algebra 4.7 proof — open
34 Geometry 4.8 proof — open
35 Algebra 4.8 proof — open
36 Algebra 4.8 proof — open
37 Geometry 4.8 proof — open
38 Geometry 4.8 proof — open
39 Number theory 4.8 proof 2014 open
40 Number theory 4.8 proof — open
41 Geometry 4.8 proof — open
42 Number theory 4.8 proof — open
43 Geometry 4.9 proof — open
44 Geometry 4.9 proof — open
45 Algebra 4.9 proof — open
46 Number theory 5.0 proof — open
47 Algebra 5.0 proof 2014 open
48 Algebra 5.0 proof — open
49 Number theory 5.0 proof — open
50 Geometry 5.0 proof — open
51 Geometry 5.0 proof — open
52 Algebra 5.0 proof — open
53 Geometry 5.1 proof — open
54 Combinatorics 5.1 proof 2014 open
55 Number theory 5.1 proof — open
56 Algebra 5.1 proof — open
57 Geometry 5.1 proof — open
58 Geometry 5.2 proof — open
59 Geometry 5.2 proof — open
60 Geometry 5.2 proof 2014 open
61 Algebra 5.2 proof — open
62 Algebra 5.2 proof — open
63 Number theory 5.2 proof — open
64 Number theory 5.3 proof — open
65 Algebra 5.3 proof — open
66 Geometry 5.3 proof — open
67 Algebra 5.3 proof 2014 open
68 Combinatorics 5.3 proof — open
69 Algebra 5.3 proof 2014 open
70 Number theory 5.3 proof — open
71 Geometry 5.3 proof — open
72 Number theory 5.3 proof — open
73 Algebra 5.3 proof — open
74 Algebra 5.3 proof — open
75 Algebra 5.4 proof — open
76 Algebra 5.4 proof — open
77 Geometry 5.4 proof — open
78 Geometry 5.4 proof 2014 open
79 Geometry 5.4 proof — open
80 Geometry 5.4 proof — open
81 Number theory 5.4 proof — open
82 Algebra 5.4 proof — open
83 Number theory 5.4 proof — open
84 Algebra 5.4 proof — open
85 Geometry 5.5 proof — open
86 Geometry 5.5 proof — open
87 Geometry 5.5 proof — open
88 Geometry 5.5 proof — open
89 Number theory 5.5 proof — open
90 Geometry 5.5 proof — open
91 Geometry 5.5 proof — open
92 Algebra 5.5 proof — open
93 Geometry 5.5 proof 2014 open
94 Geometry 5.5 proof — open
95 Geometry 5.5 proof — open
96 Geometry 5.5 proof — open
97 Number theory 5.5 proof — open
98 Algebra 5.5 proof — open
99 Algebra 5.6 proof — open
100 Geometry 5.6 proof — open
101 Algebra 5.6 proof 2014 open
102 Geometry 5.6 proof — open
103 Algebra 5.6 proof — open
104 Number theory 5.6 proof — open
105 Algebra 5.6 proof — open
106 Number theory 5.6 proof — open
107 Geometry 5.6 proof — open
108 Algebra 5.6 proof — open
109 Number theory 5.7 proof — open
110 Algebra 5.7 proof 2014 open
111 Algebra 5.7 proof — open
112 Number theory 5.7 proof — open
113 Geometry 5.7 proof — open
114 Algebra 5.7 proof — open
115 Geometry 5.7 proof — open
116 Combinatorics 5.7 proof 2014 open
117 Geometry 5.7 proof — open
118 Algebra 5.7 proof — open
119 Combinatorics 5.7 proof — open
120 Number theory 5.7 proof — open
121 Geometry 5.7 proof — open
122 Geometry 5.7 proof — open
123 Geometry 5.8 proof — open
124 Geometry 5.8 proof — open
125 Combinatorics 5.8 proof — open
126 Algebra 5.8 proof — open
127 Geometry 5.8 proof — open
128 Geometry 5.8 proof — open
129 Number theory 5.8 proof — open
130 Combinatorics 5.8 proof — open
131 Geometry 5.8 proof — open
132 Algebra 5.8 proof — open
133 Algebra 5.8 proof — open
134 Algebra 5.8 proof 2014 open
135 Geometry 5.9 proof — open
136 Algebra 5.9 proof — open
137 Algebra 5.9 proof — open
138 Geometry 5.9 proof — open
139 Geometry 5.9 proof — open
140 Geometry 5.9 proof — open
141 Algebra 5.9 proof — open
142 Combinatorics 5.9 proof — open
143 Geometry 5.9 proof — open
144 Number theory 6.0 proof — open
145 Number theory 6.0 proof 2014 open
146 Geometry 6.0 proof — open
147 Algebra 6.0 proof — open
148 Number theory 6.0 proof — open
149 Number theory 6.0 proof — open
150 Algebra 6.0 proof 2014 open
151 Geometry 6.0 proof 2014 open
152 Geometry 6.0 proof 2014 open
153 Geometry 6.0 proof — open
154 Number theory 6.0 proof — open
155 Geometry 6.1 proof — open
156 Combinatorics 6.1 proof — open
157 Combinatorics 6.1 proof — open
158 Combinatorics 6.1 proof — open
159 Combinatorics 6.1 proof 2014 open
160 Geometry 6.1 proof — open
161 Algebra 6.1 proof — open
162 Algebra 6.1 proof — open
163 Geometry 6.2 proof 2014 open
164 Number theory 6.2 proof 2014 open
165 Geometry 6.2 proof — open
166 Geometry 6.2 proof — open
167 Algebra 6.2 proof — open
168 Geometry 6.3 proof — open
169 Geometry 6.3 proof — open
170 Combinatorics 6.3 proof 2014 open
171 Geometry 6.3 proof 2014 open
172 Algebra 6.3 proof — open
173 Algebra 6.4 proof 2014 open
174 Geometry 6.4 proof — open
175 Combinatorics 6.4 proof — open
176 Algebra 6.4 proof — open
177 Algebra 6.4 proof — open
178 Geometry 6.4 proof — open
179 Geometry 6.4 proof — open
180 Geometry 6.4 proof — open
181 Number theory 6.4 proof — open
182 Algebra 6.4 proof — open
183 Algebra 6.5 proof 2014 open
184 Geometry 6.5 proof — open
185 Algebra 6.5 proof — open
186 Algebra 6.5 proof — open
187 Number theory 6.5 proof — open
188 Geometry 6.5 proof — open
189 Algebra 6.5 proof — open
190 Algebra 6.6 proof — open
191 Algebra 6.6 proof — open
192 Combinatorics 6.6 proof — open
193 Combinatorics 6.6 proof — open
194 Algebra 6.7 proof 2014 open
195 Geometry 6.7 proof — open
196 Algebra 6.7 proof 2014 open
197 Combinatorics 6.7 proof — open
198 Geometry 6.7 proof — open
199 Number theory 6.8 proof — open
200 Combinatorics 6.8 proof — open
201 Combinatorics 6.8 proof — open
202 Combinatorics 6.8 proof — open
203 Combinatorics 6.8 proof — open
204 Algebra 6.9 proof — open
205 Algebra 6.9 proof — open
206 Number theory 6.9 proof — open
207 Algebra 6.9 proof — open
208 Geometry 6.9 proof — open
209 Combinatorics 6.9 proof — open
210 Algebra 6.9 proof — open
211 Geometry 6.9 proof — open
212 Algebra 7.0 proof — open
213 Number theory 7.0 proof — open
214 Number theory 7.0 proof — open
215 Combinatorics 7.0 proof — open
216 Algebra 7.0 proof — open
217 Geometry 7.1 proof — open
218 Number theory 7.1 proof — open
219 Combinatorics 7.1 proof — open
220 Combinatorics 7.2 proof — open
221 Combinatorics 7.2 proof — open
222 Algebra 7.3 proof — open
223 Number theory 7.3 proof — open
224 Combinatorics 7.3 proof — open
225 Algebra 7.3 proof — open
226 Combinatorics 7.4 proof — open
227 Number theory 7.4 proof — open
228 Algebra 7.4 proof — open
229 Combinatorics 7.5 proof — open
230 Combinatorics 7.5 proof — open
231 Combinatorics 7.5 proof — open
232 Combinatorics 7.5 proof — open
233 Combinatorics 7.6 proof — open
234 Combinatorics 7.7 proof — open
235 Combinatorics 7.8 proof — open
236 Combinatorics 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.