The British Mathematical Olympiad forms part of the selection process for the UK International Mathematics Olympiad team. There are two rounds, the BMO1 and the BMO2.
 BMO Round 1
The first round of the BMO is held in December, and from 2006 is an open entry competition, costing £22 to enter. However, this fee is waived for those who (1) achieve the qualifying mark in the Senior Mathematical Challenge and (2) have a British passport, or have studied for 3 years full time education in the UK. The paper lasts 3½ hours, and consists of six questions (from 2005), each worth 10 marks.
Candidates are encouraged to write full proofs to the questions they attempt, as a full answer to a question is worth many more marks than incomplete answers to several questions. This is because of the marking scheme: an answer is marked on either a “0+” or a “10-” mark scheme, depending on whether the answer looks generally complete or not. So if an answer is judged incomplete or unfinished, it is awarded a few marks for progress and relevant observations, whereas if it is presented as complete and correct, marks are deducted for faults, poor reasoning, or unproven assumptions. As a result, it is quite uncommon for an answer to score a middling mark (e.g. 4–6). Continue reading