Maths Olympiad Prep

Library /UKMT Intermediate Mathematical Challenge

UKMT Intermediate Mathematical Challenge

165 problems here, rated 1 to 3 on our scale (Junior to AMC 10/12). Years covered: 2015–2026.

Algebra 98Combinatorics 9Geometry 15Number theory 43
#TopicDiffTypeYear
1 Number theory 1.0 answer 2025 open
2 Algebra 1.0 answer 2017 open
3 Number theory 1.0 answer 2021 open
4 Algebra 1.0 answer 2020 open
5 Algebra 1.0 answer 2022 open
6 Algebra 1.0 answer 2022 open
7 Number theory 1.0 answer 2016 open
8 Algebra 1.0 answer 2018 open
9 Algebra 1.0 answer 2022 open
10 Algebra 1.0 answer 2019 open
11 Algebra 1.0 answer 2025 open
12 Algebra 1.0 answer 2022 open
13 Algebra 1.0 answer 2023 open
14 Algebra 1.0 answer 2019 open
15 Algebra 1.0 answer 2019 open
16 Algebra 1.0 answer 2022 open
17 Geometry 1.0 answer 2024 open
18 Algebra 1.0 answer 2024 open
19 Number theory 1.0 answer 2017 open
20 Number theory 1.0 answer 2021 open
21 Algebra 1.0 answer 2020 open
22 Number theory 1.0 answer 2021 open
23 Algebra 1.0 answer 2019 open
24 Algebra 1.0 answer 2019 open
25 Algebra 1.0 answer 2021 open
26 Algebra 1.0 answer 2021 open
27 Algebra 1.0 answer 2015 open
28 Algebra 1.0 answer 2019 open
29 Algebra 1.0 answer 2022 open
30 Algebra 1.0 answer 2016 open
31 Algebra 1.0 answer 2024 open
32 Algebra 1.0 answer 2020 open
33 Algebra 1.0 answer 2021 open
34 Algebra 1.0 answer 2021 open
35 Algebra 1.0 answer 2020 open
36 Number theory 1.0 answer 2018 open
37 Algebra 1.0 answer 2016 open
38 Algebra 1.0 answer 2021 open
39 Algebra 1.0 answer 2026 open
40 Algebra 1.0 answer 2015 open
41 Algebra 1.0 answer 2025 open
42 Number theory 1.0 answer 2020 open
43 Algebra 1.0 answer 2018 open
44 Algebra 1.0 answer 2026 open
45 Number theory 1.0 answer 2024 open
46 Algebra 1.0 answer 2016 open
47 Algebra 1.0 answer 2025 open
48 Number theory 1.0 answer 2019 open
49 Algebra 1.0 answer 2018 open
50 Number theory 1.0 answer 2020 open
51 Algebra 1.0 answer 2016 open
52 Algebra 1.0 answer 2018 open
53 Algebra 1.0 answer 2022 open
54 Algebra 1.0 answer 2020 open
55 Algebra 1.0 answer 2017 open
56 Number theory 1.0 answer 2016 open
57 Number theory 1.0 answer 2019 open
58 Algebra 1.0 answer 2019 open
59 Algebra 1.0 answer 2021 open
60 Algebra 1.0 answer 2022 open
61 Algebra 1.0 answer 2024 open
62 Algebra 1.0 answer 2016 open
63 Geometry 1.0 answer 2016 open
64 Algebra 1.0 answer 2021 open
65 Algebra 1.0 answer 2023 open
66 Algebra 1.0 answer 2024 open
67 Algebra 1.0 answer 2016 open
68 Algebra 1.0 answer 2022 open
69 Geometry 1.0 answer 2017 open
70 Algebra 1.0 answer 2023 open
71 Number theory 1.0 answer 2021 open
72 Number theory 1.0 answer 2016 open
73 Number theory 1.0 answer 2020 open
74 Number theory 1.0 answer 2017 open
75 Algebra 1.0 answer 2025 open
76 Algebra 1.0 answer 2023 open
77 Algebra 1.0 answer 2015 open
78 Number theory 1.0 answer 2026 open
79 Number theory 1.0 answer 2025 open
80 Combinatorics 1.0 answer 2021 open
81 Number theory 1.0 answer 2017 open
82 Algebra 1.0 answer 2024 open
83 Algebra 1.0 answer 2022 open
84 Number theory 1.0 answer 2018 open
85 Algebra 1.0 answer 2020 open
86 Algebra 1.0 answer 2019 open
87 Algebra 2.0 answer 2022 open
88 Algebra 2.0 answer 2020 open
89 Algebra 2.0 answer 2019 open
90 Number theory 2.0 answer 2025 open
91 Number theory 2.0 answer 2015 open
92 Combinatorics 2.0 answer 2015 open
93 Number theory 2.0 answer 2015 open
94 Algebra 2.0 answer 2025 open
95 Number theory 2.0 answer 2020 open
96 Algebra 2.0 answer 2025 open
97 Combinatorics 2.0 answer 2017 open
98 Geometry 2.0 answer 2020 open
99 Algebra 2.0 answer 2019 open
100 Geometry 2.0 answer 2024 open
101 Number theory 2.0 answer 2018 open
102 Geometry 2.0 answer 2024 open
103 Number theory 2.0 answer 2024 open
104 Algebra 2.0 answer 2024 open
105 Geometry 2.0 answer 2018 open
106 Algebra 2.0 answer 2020 open
107 Number theory 2.0 answer 2019 open
108 Number theory 2.0 answer 2020 open
109 Algebra 2.0 answer 2018 open
110 Algebra 2.0 answer 2023 open
111 Algebra 2.0 answer 2017 open
112 Number theory 2.0 answer 2025 open
113 Geometry 2.0 answer 2026 open
114 Algebra 2.0 answer 2016 open
115 Algebra 2.0 answer 2021 open
116 Algebra 2.0 answer 2017 open
117 Combinatorics 2.0 answer 2019 open
118 Number theory 2.0 answer 2022 open
119 Number theory 2.0 answer 2017 open
120 Algebra 2.0 answer 2024 open
121 Algebra 2.0 answer 2025 open
122 Number theory 2.0 answer 2018 open
123 Algebra 2.0 answer 2025 open
124 Algebra 2.0 answer 2023 open
125 Number theory 2.0 answer 2015 open
126 Geometry 2.0 answer 2024 open
127 Geometry 2.0 answer 2026 open
128 Algebra 2.0 answer 2024 open
129 Algebra 2.0 answer 2016 open
130 Algebra 2.0 answer 2026 open
131 Algebra 2.0 answer 2025 open
132 Algebra 2.0 answer 2023 open
133 Geometry 2.0 answer 2022 open
134 Algebra 2.0 answer 2017 open
135 Algebra 2.0 answer 2026 open
136 Combinatorics 2.0 answer 2025 open
137 Algebra 2.0 answer 2017 open
138 Combinatorics 2.0 answer 2015 open
139 Geometry 2.0 answer 2024 open
140 Geometry 2.0 answer 2016 open
141 Algebra 2.0 answer 2026 open
142 Algebra 2.0 answer 2016 open
143 Number theory 2.0 answer 2019 open
144 Number theory 2.0 answer 2025 open
145 Number theory 2.0 answer 2026 open
146 Algebra 3.0 answer 2026 open
147 Algebra 3.0 answer 2015 open
148 Algebra 3.0 answer 2023 open
149 Combinatorics 3.0 answer 2025 open
150 Number theory 3.0 answer 2019 open
151 Algebra 3.0 answer 2025 open
152 Algebra 3.0 answer 2021 open
153 Algebra 3.0 answer 2023 open
154 Algebra 3.0 answer 2022 open
155 Geometry 3.0 answer 2023 open
156 Algebra 3.0 answer 2017 open
157 Number theory 3.0 answer 2023 open
158 Number theory 3.0 answer 2026 open
159 Geometry 3.0 answer 2023 open
160 Combinatorics 3.0 answer 2016 open
161 Algebra 3.0 answer 2021 open
162 Number theory 3.0 answer 2015 open
163 Number theory 3.0 answer 2026 open
164 Number theory 3.0 answer 2018 open
165 Combinatorics 3.0 answer 2018 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.