UKMT encourages mathematical reasoning, precision of thought, and influency in using basic mathematical techniques to solve interesting problems. Among many mathematical challenges organized by UKMT, their biggest competitions are the Junior, Intermediate and Senior Mathematical Challenge(JMC/IMC/SMC), which have over 700,000 entries from 6,000 schools each year, and are the UK's most popular school Mathematical Challenges.

The Intermediate Mathematical Challenge (IMC) is for students in grade 10 and below, covering some of the high school knowledge. IMC encourages students to improve their mathematical reasoning ability, understand and master higher mathematical skills. It provides advanced challenges CMO-Grade8, HMO-Grade9 and MMO-Grade10 with different levels of difficulty, according to the grades of students, aiming to cultivate students' proof reasoning and mathematical expression. Students can feel the mystery behind mathematical logic while enriching their experience.

IMC and JMC are relatively similar, with the similar scope and content, but more difficult. It is a valuable opportunity for students to demonstrate their mathematical ability, and for those who are relatively weak in mathematics to broaden their mathematical thinking and develop their learning ability.