Explore student competitions.

QUICK SUMMARY

Difficulty varies by division from Intermediate to Advanced, MOEMS is a five-contest problem-solving programme delivered monthly through schools, homeschools, districts and institutes in paper or online form. Division E primarily serves grades 4–6, while Division M covers grades 6–8; an adult PICO enrols and supervises each team. Students face five non-routine questions in 30 minutes, so the central challenge is independent reasoning under time pressure across a sustained season.

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

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

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

Rated Beginner, this creative mathematics opportunity invites school and community learners across the island of Ireland to show where mathematics appears in everyday life. Participants create and submit a poster rather than sit a timed paper. The main challenge is noticing a genuine mathematical idea, explaining it accurately and presenting the observation through an original, readable visual.

QUICK SUMMARY

A US, England and Wales mathematical modelling competition where teams use maths and data to solve an open-ended real-world problem within 14 hours. Open to teams of three to five eligible secondary-school students, mainly US high-school juniors and seniors and sixth-form students aged 16–19 in England and Wales. Rated Expert Level, with difficulty mainly coming from mathematical modelling, data analysis, technical writing and solving a complex problem under strict time pressure.

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 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.