UKMT Maths Challenges

The UK Maths Challenges provide a wonderful library of multiple choice problems; note the past papers where you will find questions and full solutions. Check also the Individual Challenges pages where you will find details of the challenge and see sample materials. Check the Junior Challenge for example. Note the extended solutions.

As well as a full solution which does not use the multiple choice answers further ideas are given for investigation.

UKMT Extended Solutions

Maths Challenge questions are an excellent resource at any time – not just for preparation for the competitions, particularly with the increased requirement for problem solving skills at all levels. On the outstanding Diagnostic Questions site you can choose Junior Maths Challenge questions by topic by choosing the Themed Quizzes option. These quizzes consist of sets of four or five questions grouped by topic. (Log in to Diagnostic Questions to use the link.)

UKMT Diagnostic Questions

Another way to access Maths Challenge questions by topic for Junior, Intermediate and Senior is from Dr Frosts’s wonderful website full of outstanding resources.

Very conveniently it is possible to download zip files of questions by topic.

UKMT Skills Builders Topics

From UKMT, try their free Skills Builders, on-line problem solving questions for both junior and intermediate level. Note the user guide, which applies to both Junior (age 11-13) and Intermediate (age 13-16); this offers clear step by step instructions with screenshots.


UKMT Maths Challenge – Junior

Another possibility, generate a random quiz, using Mathster’s UKMT Mathematics Challenge Online Quiz. Choose Junior, Intermediate or Senior and one of three difficulty levels; you can also choose the number of questions, a time limit and the order the questions are presented in – random or in order of difficulty.

UKMT Mathster

UK Maths Challenge Online Quiz – Mathster

Team Challenge

Links for students, including advice for young mathematicians are provided on Mathematics for Students. Further outstanding resources from UKMT include the Team Challenge resources.

The UK Maths Challenges are included on the Problems & Activities page.

For more sources of multiple choice questions see this post.

Daisy C Multiple Choice

Daisy Christodoulou on Multiple Choice Questions