Explore student competitions.

QUICK SUMMARY

A UK team mathematics competition where students solve collaborative problems across group, crossnumber and shuttle rounds. Open to teams of four Year 12–13 students, or equivalent, through participating UK schools and colleges. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, time pressure, teamwork and selective progression to the national final.

QUICK SUMMARY

Rated Advanced, this UKMT follow-on challenge is for senior students who qualify through the Senior Mathematical Challenge or receive discretionary entry through a UK school. The 60-minute paper contains 20 integer-answer problems. Success depends on choosing efficient methods, maintaining accuracy across unfamiliar topics and checking three-digit answers without relying on multiple-choice options.

QUICK SUMMARY

A UK mathematical olympiad where students solve six demanding proof-based problems. Open to eligible secondary-school students who qualify through the Senior Mathematical Challenge or are entered at their school’s discretion. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous written proofs and selective progression to BMO Round 2.

QUICK SUMMARY

A UK mathematics competition where students solve 25 multiple-choice problems in either the Grey or Pink Kangaroo for their year group. Open to UK-school students who qualify through the Intermediate Mathematical Challenge or are entered at their school’s discretion. Rated Intermediate Level, with difficulty mainly coming from selective qualification, increasingly challenging problems and time pressure.

QUICK SUMMARY

A UK mathematics competition where students solve 25 multiple-choice problems requiring logical and non-routine thinking. Open to Year 8 or below students at UK schools who qualify through the Junior Mathematical Challenge or are entered at their school’s discretion. Rated Intermediate Level, with difficulty mainly coming from selective qualification, increasingly challenging problems and time pressure.

QUICK SUMMARY

A UK mathematics competition where students solve 20 challenging integer-answer problems requiring logical and non-routine thinking. Open to Year 13 or below students at UK schools who qualify through the Senior Mathematical Challenge or are entered at their school’s discretion. Rated Advanced Level, with difficulty mainly coming from selective qualification, increasingly demanding problems and the need to produce exact answers without multiple-choice options.

QUICK SUMMARY

A UK mathematical olympiad where students solve demanding proof-based problems across two rounds. Open to full-time secondary-school students through registered UKMT centres, with progression based mainly on performance in the Senior Mathematical Challenge and BMO Round 1. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous proofs and highly selective progression.

QUICK SUMMARY

A UK mathematical olympiad where students solve four exceptionally difficult proof-based problems. Open mainly to around 100 top performers from BMO Round 1, with discretionary school entries also permitted. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous proofs and highly selective progression towards UK IMO training.

QUICK SUMMARY

A UK-based mathematics competition where students solve 25 multiple-choice problems requiring logical reasoning and non-routine problem-solving. Open to students in Year 11 or below, or equivalent, through participating UK and overseas schools. Rated Intermediate Level, with difficulty mainly coming from increasingly challenging questions, time pressure and negative marking on later problems.

QUICK SUMMARY

A UK team mathematics competition where students solve collaborative problems across group, crossnumber, shuttle and relay rounds. Open to teams of four from eligible UK schools, mainly covering Years 8–9 or equivalent. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, time pressure, teamwork and selective progression to the national final.

QUICK SUMMARY

A UK mathematical olympiad where students solve six challenging proof-based problems in the Cayley, Hamilton or Maclaurin paper for their year group. Open to top performers in the Intermediate Mathematical Challenge, including eligible overseas students. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, rigorous written proofs and selective qualification.

QUICK SUMMARY

A UK-based mathematics competition where students solve 25 multiple-choice problems requiring logical and non-routine thinking. Open to students in Year 8 or below, or equivalent, through participating UK and overseas schools. Rated Intermediate Level, with difficulty mainly coming from increasingly challenging problems, time pressure and unfamiliar problem-solving.