Explore student competitions.

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 Expert, An invitational mathematics contest for young women selected through official qualifying scores. Applicants satisfy the current grade, gender, geography and AMC participation conditions before invitation. The exam compresses creative problem solving into twenty numerical-answer questions, with a proof-based Olympiad for selected performers.

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

A UK mathematics competition where girls solve five challenging answer-only problems. Open to students in Year 11 and above at UK schools, with younger students accepted at the school’s discretion. Rated Intermediate Level, with difficulty mainly coming from non-routine problem-solving and increasingly demanding questions.

QUICK SUMMARY

A UK mathematics olympiad where girls and young women solve five challenging proof-based problems. Open to school-nominated students across the UK, with each school able to enter up to four participants. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous mathematical reasoning and written proofs.

QUICK SUMMARY

A UK-based mathematics competition where students solve 22 multiple-choice problems followed by three 000–999 digit-answer questions in the 2026 trial, requiring logical and non-routine thinking. Open to students in Year 13 or below, or equivalent, through participating UK and overseas schools. Rated Advanced Level, with difficulty mainly coming from increasingly challenging problems, time pressure and negative marking.

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

An Irish mathematics competition where students solve creative, non-routine problems to qualify for the national olympiad round. Open mainly to 3rd–5th Year secondary-school students through participating schools across Ireland. Rated Advanced Level, with difficulty mainly coming from unfamiliar problem-solving, logical reasoning and selective progression to the Irish Mathematical Olympiad final.

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.