Explore student competitions.

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

Rated Intermediate, this island-of-Ireland competition is for post-primary students aged 19 or under, entering individually or in teams of up to three through a teacher. Students investigate a question and present their analysis on a statistical poster. The main challenge is using data responsibly and turning methods, findings and limitations into a clear visual argument.

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.

QUICK SUMMARY

A UK-based mathematical olympiad where students solve six challenging problems and provide full written reasoning. Open to Year 8 or below students who qualify through the Junior Mathematical Challenge or are entered at their school’s discretion, including students at overseas schools. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, rigorous written solutions and selective qualification.

QUICK SUMMARY

Rated Beginner, this school-run mathematics challenge is designed for pupils aged 7–9 in the UK and worldwide. Schools can deliver the paper online or from a supplied PDF, with questions becoming progressively less familiar. The main challenge is reading carefully, spotting patterns and explaining simple reasoning while building confidence with competition-style problem solving.

QUICK SUMMARY

Rated Expert, this senior national mathematics contest is for eligible secondary students in Ireland and is connected to further selection for the Irish International Mathematical Olympiad team. Participants sit a proof-based final at enrichment centres. The main challenge is constructing rigorous solutions to unfamiliar problems across geometry, number theory, combinatorics and algebra.

QUICK SUMMARY

Rated Intermediate, this Irish school mathematics quiz is for teams of four Junior Cycle students studying Higher Level Mathematics, with a limit on teams per school. Regional rounds lead to a national final. The main challenge is solving varied questions accurately at speed while sharing work, communicating reasoning and checking answers as a coordinated team.

QUICK SUMMARY

Rated Advanced, this Irish school competition is for teams of four students in Leaving Certificate years, using questions based on Higher Level Mathematics. Regional table-quiz rounds lead to a national final. The main challenge is solving demanding problems quickly while dividing work intelligently, communicating partial ideas and checking teammates' answers under pressure.