Maths Olympiad Prep

Library /UKMT Pink Kangaroo

UKMT Pink Kangaroo

220 problems here, rated 1 to 3 on our scale (Junior to AMC 10/12). 8 of them ask for a proof. Years covered: 2015–2026.

Algebra 55Combinatorics 61Geometry 63Number theory 41
#TopicDiffTypeYear
1 Geometry 1.0 answer 2018 open
2 Combinatorics 1.0 answer 2022 open
3 Combinatorics 1.0 proof 2026 open
4 Algebra 1.0 answer 2023 open
5 Algebra 1.0 answer 2020 open
6 Combinatorics 1.0 answer 2022 open
7 Geometry 1.0 proof 2019 open
8 Algebra 1.0 answer 2020 open
9 Algebra 1.0 proof 2023 open
10 Combinatorics 1.0 answer 2019 open
11 Algebra 1.0 answer 2019 open
12 Number theory 1.0 answer 2015 open
13 Algebra 1.0 answer 2018 open
14 Algebra 1.0 answer 2025 open
15 Combinatorics 1.0 answer 2022 open
16 Number theory 1.0 answer 2026 open
17 Combinatorics 1.0 answer 2015 open
18 Algebra 1.0 answer 2023 open
19 Combinatorics 1.0 answer 2022 open
20 Algebra 1.0 answer 2021 open
21 Algebra 1.0 answer 2017 open
22 Algebra 1.0 answer 2024 open
23 Algebra 1.0 answer 2019 open
24 Combinatorics 1.0 answer 2019 open
25 Number theory 1.0 answer 2015 open
26 Algebra 1.0 answer 2020 open
27 Number theory 1.0 answer 2016 open
28 Algebra 1.0 answer 2021 open
29 Number theory 1.0 answer 2015 open
30 Algebra 1.0 answer 2015 open
31 Algebra 1.0 answer 2018 open
32 Algebra 1.0 answer 2017 open
33 Algebra 1.0 answer 2016 open
34 Algebra 1.0 answer 2023 open
35 Geometry 1.0 answer 2020 open
36 Number theory 1.0 answer 2017 open
37 Algebra 1.0 answer 2020 open
38 Algebra 1.0 answer 2016 open
39 Number theory 1.0 answer 2018 open
40 Combinatorics 1.0 answer 2023 open
41 Algebra 1.0 answer 2026 open
42 Algebra 1.0 answer 2019 open
43 Algebra 1.0 answer 2017 open
44 Number theory 2.0 answer 2019 open
45 Geometry 2.0 answer 2022 open
46 Algebra 2.0 answer 2026 open
47 Geometry 2.0 answer 2020 open
48 Geometry 2.0 answer 2022 open
49 Geometry 2.0 answer 2022 open
50 Number theory 2.0 answer 2021 open
51 Algebra 2.0 answer 2021 open
52 Geometry 2.0 answer 2018 open
53 Geometry 2.0 answer 2020 open
54 Combinatorics 2.0 answer 2025 open
55 Algebra 2.0 answer 2015 open
56 Number theory 2.0 answer 2023 open
57 Combinatorics 2.0 answer 2023 open
58 Geometry 2.0 answer 2026 open
59 Geometry 2.0 answer 2025 open
60 Geometry 2.0 answer 2024 open
61 Algebra 2.0 answer 2015 open
62 Geometry 2.0 answer 2023 open
63 Number theory 2.0 answer 2018 open
64 Geometry 2.0 answer 2024 open
65 Algebra 2.0 answer 2025 open
66 Combinatorics 2.0 answer 2022 open
67 Geometry 2.0 answer 2019 open
68 Geometry 2.0 answer 2019 open
69 Combinatorics 2.0 answer 2021 open
70 Geometry 2.0 answer 2016 open
71 Algebra 2.0 answer 2017 open
72 Geometry 2.0 answer 2020 open
73 Number theory 2.0 answer 2015 open
74 Geometry 2.0 answer 2020 open
75 Combinatorics 2.0 answer 2015 open
76 Geometry 2.0 answer 2023 open
77 Algebra 2.0 answer 2015 open
78 Number theory 2.0 answer 2016 open
79 Combinatorics 2.0 answer 2024 open
80 Combinatorics 2.0 answer 2017 open
81 Combinatorics 2.0 answer 2026 open
82 Number theory 2.0 answer 2017 open
83 Combinatorics 2.0 answer 2016 open
84 Geometry 2.0 answer 2021 open
85 Geometry 2.0 answer 2023 open
86 Geometry 2.0 proof 2017 open
87 Algebra 2.0 answer 2023 open
88 Geometry 2.0 answer 2021 open
89 Geometry 2.0 proof 2025 open
90 Geometry 2.0 answer 2019 open
91 Combinatorics 2.0 answer 2016 open
92 Combinatorics 2.0 answer 2022 open
93 Number theory 2.0 answer 2019 open
94 Combinatorics 2.0 answer 2022 open
95 Combinatorics 2.0 answer 2016 open
96 Geometry 2.0 answer 2021 open
97 Algebra 2.0 answer 2018 open
98 Combinatorics 2.0 answer 2023 open
99 Combinatorics 2.0 answer 2015 open
100 Algebra 2.0 answer 2020 open
101 Geometry 2.0 proof 2019 open
102 Geometry 2.0 answer 2015 open
103 Algebra 2.0 answer 2021 open
104 Algebra 2.0 answer 2018 open
105 Algebra 2.0 answer 2020 open
106 Geometry 2.0 answer 2022 open
107 Combinatorics 2.0 answer 2020 open
108 Geometry 2.0 answer 2016 open
109 Geometry 2.0 answer 2022 open
110 Algebra 2.0 answer 2018 open
111 Geometry 2.0 answer 2023 open
112 Geometry 2.0 answer 2020 open
113 Combinatorics 2.0 answer 2025 open
114 Algebra 2.0 answer 2018 open
115 Algebra 2.0 answer 2020 open
116 Geometry 2.0 answer 2016 open
117 Geometry 2.0 answer 2023 open
118 Algebra 2.0 answer 2021 open
119 Combinatorics 2.0 answer 2025 open
120 Geometry 2.0 answer 2015 open
121 Number theory 2.0 answer 2026 open
122 Number theory 2.0 answer 2018 open
123 Combinatorics 2.0 answer 2021 open
124 Algebra 2.0 answer 2021 open
125 Geometry 2.0 proof 2017 open
126 Number theory 2.0 answer 2022 open
127 Combinatorics 2.0 answer 2018 open
128 Number theory 2.0 answer 2021 open
129 Number theory 2.0 answer 2018 open
130 Geometry 2.0 answer 2021 open
131 Algebra 2.0 answer 2016 open
132 Geometry 2.0 answer 2021 open
133 Geometry 2.0 answer 2025 open
134 Number theory 2.0 answer 2020 open
135 Combinatorics 2.0 answer 2023 open
136 Number theory 2.0 answer 2019 open
137 Number theory 2.0 answer 2016 open
138 Geometry 2.0 answer 2023 open
139 Algebra 2.0 answer 2017 open
140 Algebra 2.0 answer 2018 open
141 Geometry 2.0 answer 2021 open
142 Combinatorics 2.0 answer 2015 open
143 Number theory 2.0 answer 2020 open
144 Number theory 2.0 answer 2025 open
145 Number theory 2.0 answer 2024 open
146 Combinatorics 2.0 answer 2022 open
147 Combinatorics 2.0 proof 2023 open
148 Geometry 3.0 answer 2019 open
149 Geometry 3.0 answer 2026 open
150 Geometry 3.0 answer 2017 open
151 Number theory 3.0 answer 2021 open
152 Geometry 3.0 answer 2025 open
153 Geometry 3.0 answer 2024 open
154 Geometry 3.0 answer 2021 open
155 Combinatorics 3.0 answer 2022 open
156 Combinatorics 3.0 answer 2024 open
157 Combinatorics 3.0 answer 2026 open
158 Combinatorics 3.0 answer 2026 open
159 Algebra 3.0 answer 2015 open
160 Combinatorics 3.0 answer 2016 open
161 Algebra 3.0 answer 2022 open
162 Combinatorics 3.0 answer 2017 open
163 Combinatorics 3.0 answer 2022 open
164 Geometry 3.0 answer 2025 open
165 Combinatorics 3.0 answer 2020 open
166 Geometry 3.0 answer 2024 open
167 Geometry 3.0 answer 2022 open
168 Geometry 3.0 answer 2026 open
169 Combinatorics 3.0 answer 2025 open
170 Number theory 3.0 answer 2020 open
171 Number theory 3.0 answer 2017 open
172 Number theory 3.0 answer 2023 open
173 Geometry 3.0 answer 2026 open
174 Number theory 3.0 answer 2018 open
175 Combinatorics 3.0 answer 2016 open
176 Geometry 3.0 answer 2015 open
177 Combinatorics 3.0 answer 2020 open
178 Number theory 3.0 answer 2018 open
179 Number theory 3.0 answer 2022 open
180 Number theory 3.0 answer 2019 open
181 Number theory 3.0 answer 2025 open
182 Combinatorics 3.0 answer 2017 open
183 Geometry 3.0 answer 2017 open
184 Combinatorics 3.0 answer 2025 open
185 Number theory 3.0 answer 2021 open
186 Combinatorics 3.0 answer 2023 open
187 Combinatorics 3.0 answer 2019 open
188 Algebra 3.0 answer 2025 open
189 Number theory 3.0 answer 2020 open
190 Number theory 3.0 answer 2015 open
191 Algebra 3.0 answer 2017 open
192 Algebra 3.0 answer 2024 open
193 Algebra 3.0 answer 2023 open
194 Geometry 3.0 answer 2018 open
195 Combinatorics 3.0 answer 2016 open
196 Combinatorics 3.0 answer 2020 open
197 Combinatorics 3.0 answer 2026 open
198 Geometry 3.0 answer 2025 open
199 Algebra 3.0 answer 2019 open
200 Combinatorics 3.0 answer 2024 open
201 Number theory 3.0 answer 2024 open
202 Algebra 3.0 answer 2016 open
203 Combinatorics 3.0 answer 2019 open
204 Geometry 3.0 answer 2022 open
205 Algebra 3.0 answer 2022 open
206 Algebra 3.0 answer 2017 open
207 Combinatorics 3.0 answer 2018 open
208 Combinatorics 3.0 answer 2022 open
209 Combinatorics 3.0 answer 2026 open
210 Combinatorics 3.0 answer 2024 open
211 Combinatorics 3.0 answer 2021 open
212 Geometry 3.0 answer 2016 open
213 Geometry 3.0 answer 2026 open
214 Number theory 3.0 answer 2025 open
215 Combinatorics 3.0 answer 2025 open
216 Geometry 3.0 answer 2017 open
217 Combinatorics 3.0 answer 2021 open
218 Number theory 3.0 answer 2024 open
219 Combinatorics 3.0 answer 2026 open
220 Geometry 3.0 answer 2025 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.