BMO Rounds 1 and 2
Some past papers and solutions for BMO Rounds 1 and 2 are linked below. More information and advice can be found at the official BMO website.
You can see more information about qualification for BMO1 and BMO2 and all other UKMT maths challenges in the video here:
BMO Round 1 Past Papers and Solutions
This table contains links to past papers for the BMO Round 1 – these papers are hosted at the UKMT website. The most recent papers are usually made available a couple of days after the challenge takes place and may briefly be available at the official website before this table is updated. Older papers and further information (including more video solutions) may also be found at the BMO website here.
BMO Round 1 Grade Boundaries and BMO2 Qualification Thresholds
| Year | Merit | Distinction | Bronze Medal | Silver Medal | Gold Medal | BMO2 (Year 10 and under) | BMO2 (Year 11) | BMO2 (Year 12) | BMO2 (Year 13) | Date Available |
| 2025 | 7 | 18 | 31 | 37 | 48 | 27 | 27 | 30 | 31 | 18 Dec |
| 2024 | 10 | 26 | 43 | 48 | 50 | 38 | 38 | 40 | 43 | 18 Dec |
| 2023 | 13 | 30 | 44 | 49 | 58 | 37 | 39 | 42 | 43 | |
| 2022 | 12 | 25 | 39 | 43 | 51 | 33 | 34 | 36 | 38 | |
| 2021 | 11 | 21 | 33 | 38 | 45 | 29 | 31 | 32 | 33 | |
| 2020 | 10 | 18 | 29 | 34 | 40 | 24 | 24 | 26 | 27 |
BMO Round 2 Past Papers and Solutions
This table contains links to past papers for the BMO Round 2 – these papers are hosted at the UKMT website. The most recent papers are usually made available a couple of days after the challenge takes place and may briefly be available at the official website before this table is updated. Older papers and further information may also be found at the BMO website here.
| Year | BMO2 Questions | BMO2 Solutions | Merit | Distinction | |
| 2026 | 2026 Questions | 2026 Solutions | Video Solutions (UKMT) | ||
| 2025 | 2025 Questions | 2025 Solutions | Video Solutions (UKMT) | 8 | 18 |
| 2024 | 2024 Questions | 2024 Solutions | Video Solutions (UKMT) | 6 | 15 |
| 2023 | 2023 Questions | 2023 Solutions | 7 | 11 | |
| 2022 | 2022 Questions | 2022 Solutions | 10 | 17 | |
| 2021 | 2021 Questions | 2021 Solutions | 6 | 18 | |
| 2020 | 2020 Questions | 2020 Solutions | 7 | 15 | |
| 2019 | 2019 Questions | 2019 Solutions | |||
| 2018 | 2018 Questions | 2018 Solutions |