Maths Olympiad Prep

Library /CEMC Euclid

CEMC Euclid

224 problems here, rated 1 to 4.3 on our scale (Junior to AIME). 224 of them ask for a proof. Years covered: 1998–2026.

Algebra 148Combinatorics 12Geometry 44Number theory 20
#TopicDiffTypeYear
1 Geometry 1.0 proof 2007 open
2 Algebra 1.0 proof 2000 open
3 Algebra 1.0 proof 2009 open
4 Geometry 1.0 proof 2007 open
5 Algebra 1.0 proof 2011 open
6 Algebra 1.0 proof 2006 open
7 Algebra 1.0 proof 2005 open
8 Algebra 1.0 proof 2005 open
9 Algebra 1.0 proof 2005 open
10 Number theory 1.0 proof 2010 open
11 Algebra 1.0 proof 2011 open
12 Algebra 1.0 proof 2006 open
13 Algebra 1.0 proof 2008 open
14 Algebra 1.0 proof 2008 open
15 Algebra 1.0 proof 2006 open
16 Number theory 1.0 proof 2010 open
17 Algebra 1.0 proof 2000 open
18 Algebra 1.0 proof 2005 open
19 Algebra 1.0 proof 2007 open
20 Algebra 1.0 proof 2000 open
21 Algebra 1.0 proof 2005 open
22 Geometry 1.0 proof 1998 open
23 Algebra 1.0 proof 2009 open
24 Algebra 1.0 proof 2009 open
25 Algebra 1.0 proof 2008 open
26 Algebra 1.0 proof 2011 open
27 Geometry 1.0 proof 1998 open
28 Algebra 1.0 proof 2004 open
29 Algebra 1.0 proof 2000 open
30 Algebra 1.0 proof 2011 open
31 Number theory 1.0 proof 2010 open
32 Algebra 1.0 proof 2006 open
33 Algebra 1.0 proof 2011 open
34 Algebra 1.0 proof 2013 open
35 Algebra 1.0 proof 2023 open
36 Algebra 1.0 proof 2026 open
37 Algebra 1.0 proof 2018 open
38 Algebra 1.0 proof 2025 open
39 Algebra 1.0 proof 2024 open
40 Algebra 1.0 proof 2022 open
41 Algebra 1.0 proof 2014 open
42 Algebra 1.0 proof 2012 open
43 Number theory 1.1 proof 2026 open
44 Algebra 2.0 proof 1999 open
45 Algebra 2.0 proof 2002 open
46 Geometry 2.0 proof 2007 open
47 Combinatorics 2.0 proof 2011 open
48 Algebra 2.0 proof 2008 open
49 Algebra 2.0 proof 2002 open
50 Geometry 2.0 proof 2011 open
51 Algebra 2.0 proof 2004 open
52 Number theory 2.0 proof 2011 open
53 Geometry 2.0 proof 1998 open
54 Combinatorics 2.0 proof 2007 open
55 Algebra 2.0 proof 2009 open
56 Algebra 2.0 proof 2004 open
57 Algebra 2.0 proof 2010 open
58 Algebra 2.0 proof 2009 open
59 Geometry 2.0 proof 2011 open
60 Algebra 2.0 proof 2001 open
61 Algebra 2.0 proof 2009 open
62 Geometry 2.0 proof 2011 open
63 Number theory 2.0 proof 2011 open
64 Geometry 2.0 proof 2007 open
65 Algebra 2.0 proof 2001 open
66 Algebra 2.0 proof 2003 open
67 Geometry 2.0 proof 2006 open
68 Algebra 2.0 proof 2004 open
69 Combinatorics 2.0 proof 2011 open
70 Algebra 2.0 proof 1998 open
71 Algebra 2.0 proof 2004 open
72 Algebra 2.0 proof 2010 open
73 Algebra 2.0 proof 2008 open
74 Algebra 2.0 proof 1999 open
75 Algebra 2.0 proof 2008 open
76 Algebra 2.0 proof 2003 open
77 Algebra 2.0 proof 2009 open
78 Algebra 2.0 proof 2001 open
79 Algebra 2.0 proof 2005 open
80 Algebra 2.0 proof 2002 open
81 Combinatorics 2.0 proof 2007 open
82 Algebra 2.0 proof 2000 open
83 Algebra 2.0 proof 2006 open
84 Algebra 2.0 proof 2005 open
85 Algebra 2.0 proof 2002 open
86 Algebra 2.0 proof 2001 open
87 Algebra 2.0 proof 2001 open
88 Geometry 2.0 proof 1999 open
89 Algebra 2.0 proof 2009 open
90 Algebra 2.0 proof 2010 open
91 Geometry 2.0 proof 1998 open
92 Algebra 2.0 proof 2004 open
93 Algebra 2.0 proof 2002 open
94 Algebra 2.0 proof 2002 open
95 Algebra 2.0 proof 2003 open
96 Algebra 2.0 proof 1999 open
97 Algebra 2.0 proof 2003 open
98 Algebra 2.0 proof 2002 open
99 Algebra 2.0 proof 2007 open
100 Algebra 2.0 proof 2002 open
101 Geometry 2.0 proof 1998 open
102 Algebra 2.0 proof 2008 open
103 Algebra 2.0 proof 2007 open
104 Algebra 2.0 proof 2008 open
105 Algebra 2.0 proof 2003 open
106 Geometry 2.1 proof 2018 open
107 Algebra 2.1 proof 2013 open
108 Geometry 2.1 proof 2014 open
109 Algebra 2.1 proof 2012 open
110 Number theory 2.1 proof 2022 open
111 Algebra 2.1 proof 2024 open
112 Geometry 2.1 proof 2023 open
113 Algebra 2.1 proof 2022 open
114 Algebra 2.1 proof 2024 open
115 Algebra 2.1 proof 2013 open
116 Algebra 2.1 proof 2026 open
117 Combinatorics 2.1 proof 2013 open
118 Geometry 3.0 proof 2000 open
119 Combinatorics 3.0 proof 2001 open
120 Number theory 3.0 proof 2003 open
121 Algebra 3.0 proof 1999 open
122 Algebra 3.0 proof 2003 open
123 Algebra 3.0 proof 2007 open
124 Algebra 3.0 proof 2002 open
125 Algebra 3.0 proof 2008 open
126 Algebra 3.0 proof 2006 open
127 Algebra 3.0 proof 2009 open
128 Combinatorics 3.0 proof 2001 open
129 Geometry 3.0 proof 2010 open
130 Geometry 3.0 proof 2004 open
131 Geometry 3.0 proof 2000 open
132 Algebra 3.0 proof 2001 open
133 Number theory 3.0 proof 2003 open
134 Algebra 3.0 proof 1999 open
135 Geometry 3.0 proof 2009 open
136 Algebra 3.0 proof 1998 open
137 Algebra 3.0 proof 2002 open
138 Algebra 3.0 proof 2008 open
139 Geometry 3.0 proof 2010 open
140 Algebra 3.0 proof 1998 open
141 Geometry 3.0 proof 2004 open
142 Number theory 3.0 proof 2003 open
143 Algebra 3.0 proof 1999 open
144 Algebra 3.0 proof 2009 open
145 Number theory 3.0 proof 2002 open
146 Algebra 3.0 proof 2007 open
147 Geometry 3.0 proof 2008 open
148 Number theory 3.0 proof 2009 open
149 Algebra 3.0 proof 1998 open
150 Algebra 3.0 proof 2007 open
151 Algebra 3.0 proof 2002 open
152 Geometry 3.0 proof 2008 open
153 Algebra 3.0 proof 2001 open
154 Algebra 3.0 proof 1999 open
155 Algebra 3.0 proof 2010 open
156 Algebra 3.0 proof 2011 open
157 Algebra 3.0 proof 2010 open
158 Algebra 3.0 proof 2010 open
159 Algebra 3.0 proof 2008 open
160 Algebra 3.0 proof 2004 open
161 Algebra 3.0 proof 2005 open
162 Geometry 3.0 proof 2009 open
163 Algebra 3.0 proof 1999 open
164 Algebra 3.0 proof 2001 open
165 Number theory 3.0 proof 2001 open
166 Algebra 3.0 proof 2010 open
167 Algebra 3.0 proof 2004 open
168 Combinatorics 3.0 proof 2006 open
169 Algebra 3.0 proof 2010 open
170 Combinatorics 3.0 proof 2010 open
171 Algebra 3.0 proof 2001 open
172 Number theory 3.0 proof 2003 open
173 Algebra 3.0 proof 2001 open
174 Algebra 3.0 proof 2008 open
175 Combinatorics 3.0 proof 2010 open
176 Combinatorics 3.0 proof 2006 open
177 Algebra 3.0 proof 2001 open
178 Algebra 3.0 proof 2011 open
179 Number theory 3.0 proof 2001 open
180 Number theory 3.0 proof 2009 open
181 Geometry 3.0 proof 2000 open
182 Algebra 3.0 proof 2002 open
183 Algebra 3.0 proof 1998 open
184 Algebra 3.0 proof 2010 open
185 Geometry 3.0 proof 1999 open
186 Algebra 3.0 proof 2001 open
187 Geometry 3.1 proof 2025 open
188 Algebra 3.1 proof 2026 open
189 Algebra 3.1 proof 2012 open
190 Number theory 3.1 proof 2023 open
191 Algebra 3.1 proof 2018 open
192 Geometry 3.1 proof 2014 open
193 Algebra 3.1 proof 2025 open
194 Geometry 3.1 proof 2014 open
195 Algebra 3.1 proof 2023 open
196 Geometry 3.1 proof 2024 open
197 Number theory 3.1 proof 2018 open
198 Geometry 3.1 proof 2022 open
199 Algebra 3.2 proof 2014 open
200 Geometry 3.2 proof 2026 open
201 Algebra 3.2 proof 2022 open
202 Geometry 3.2 proof 2012 open
203 Algebra 3.2 proof 2024 open
204 Geometry 3.2 proof 2023 open
205 Algebra 3.2 proof 2022 open
206 Number theory 3.2 proof 2024 open
207 Algebra 3.2 proof 2014 open
208 Geometry 4.1 proof 2025 open
209 Number theory 4.1 proof 2012 open
210 Algebra 4.2 proof 2025 open
211 Geometry 4.2 proof 2013 open
212 Geometry 4.2 proof 2023 open
213 Geometry 4.2 proof 2018 open
214 Algebra 4.2 proof 2012 open
215 Geometry 4.2 proof 2013 open
216 Geometry 4.2 proof 2026 open
217 Algebra 4.2 proof 2024 open
218 Geometry 4.2 proof 2012 open
219 Combinatorics 4.2 proof 2018 open
220 Algebra 4.2 proof 2022 open
221 Algebra 4.2 proof 2013 open
222 Algebra 4.2 proof 2025 open
223 Algebra 4.2 proof 2014 open
224 Algebra 4.3 proof 2012 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.