Explore student competitions.

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

Rated Advanced, This invitation-only national olympiad requires complete proofs for six problems across two examination days near the top of the MAA pathway. Entrants qualify through AMC and AIME; detailed 2027 invitation criteria are still pending. Success requires rigorous, original arguments across algebra, combinatorics, geometry and number theory over nine hours of examination time.

QUICK SUMMARY

Rated Expert, This invitation-only national olympiad requires complete proofs for six problems and feeds the U.S. international mathematics team pathway. Entrants qualify through AMC and AIME; detailed 2027 invitation criteria are still pending. Success requires rigorous, original arguments across algebra, combinatorics, geometry and number theory over nine hours of examination time.

QUICK SUMMARY

Difficulty varies by division from Intermediate to Advanced, Purple Comet! Math Meet is a free international online team mathematics competition with middle- and high-school contests. Teams of one to six students participate under an adult supervisor, with competitive age and school-stage limits and an unrestricted non-competitive option. The main challenge is coordinating under time pressure to solve a set of problems that range from accessible questions to extremely demanding ones.

QUICK SUMMARY

Rated Advanced, A team mathematics meet built around four sharply different contest formats. Students join a coach-led school or regional team and satisfy the official age and graduation rules. Success requires deep problem solving, proof-style collaboration, individual consistency and precise relay communication without calculators.

QUICK SUMMARY

An Ireland-based mathematics competition where first-year secondary students solve short problem-solving questions beyond routine classroom work. Open to First Year students through participating schools. Rated Intermediate Level, with difficulty mainly coming from logical reasoning, unfamiliar problems and working accurately under time pressure.

QUICK SUMMARY

An Ireland-based mathematical olympiad where junior secondary students solve challenging non-routine problems requiring clear mathematical reasoning. Open to selected high-performing students through participating Irish schools and enrichment programmes. Rated Advanced Level, with difficulty mainly coming from olympiad-style problem-solving, written reasoning and selective qualification.

QUICK SUMMARY

Rated Intermediate, A primary-school mathematics contest programme combining timed individual questions with collaborative team problem solving. Students in grade six or below represent an eligible school and enter a suitable local event. The main challenge is switching between different question formats, calculator rules and time pressures while building accurate solutions; schedules and participation costs depend on the chosen event.

QUICK SUMMARY

Rated Intermediate, A middle-school mathematics contest programme combining timed individual questions with collaborative team problem solving. Students in grade eight or below represent an eligible school and enter a suitable local event. The main challenge is switching between different question formats, calculator rules and time pressures while building accurate solutions; schedules and participation costs depend on the chosen event.

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.