Past Papers

You can use UKMT past papers, solutions and investigations as preparation for maths challenges.  

Find and download free past papers by selecting the Challenge type on this page, or click ‘Buy older past papers’ to purchase from our shop.

Select Challenge Type:

Cayley Olympiad – 2023

Cayley Olympiad – 2022

Cayley Olympiad – 2021

Cayley Olympiad – 2020

Cayley Olympiad – 2019

Cayley Olympiad – 2018

Cayley Olympiad – 2017

Cayley Olympiad – 2016

Cayley Olympiad – 2015

Sign up for UKMT News

Receive your quarterly UKMT News, straight to your inbox.

Teacher Login

As an existing teacher account you only need to login once to access the challenges, past papers and shop

Shop Login

Welcome to our new site! As we’re using a new system, if you’re a public user you’ll need to re-register.

Site maintenance 14.10.23 01:00 – 06:00. Interruptions should be minimal, but please be aware the site may be unavailable during these times for a short period

Site maintenance 14.10.23 01:00 – 06:00. Short interruptions are possible during these times

How would you rate your experience on our new website?