Online courses for the MAT (Oxford University and Imperial College) and the TMUA (Durham University, Warwick University, Lancaster University)

Students can gain a reduced offer at Durham University or Lancaster University with a good score in the TMUA. Warwick University will also accept a good score in the TMUA as part of its entry requirements. There are two papers with 20 multiple choice questions on each.

Overview of course and applications

The course consists of seven one-hour online sessions taking place in September and October

Online sessions:




Integers, Sequences and Series


Integers, Sequences and Series

Polynomials and Logarithms



Coordinate Geometry and Trigonometry


Polynomials and Logarithms

Curve Sketching and Integration


Logical thinking

Algorithms and Counting


Functions and Curve Sketching

Review of misc. multiple choice test questions and exam technique


Coordinate Geometry and Trigonometry

Review of misc. longer questions and exam technique


Review of misc. multiple choice test questions and exam technique

Live online sessions will include discussion of key points and examples from past papers. Course participants will be given access to recordings of the sessions should they not be able to attend a live session. Participants will also be given access to additional online resources including extra notes, exercise sheets and solutions.

All that is needed to participate in the sessions is a computer with a broadband internet connection. No further equipment is needed - communication with the course tutor during the live sessions is via the instant chat feature of the virtual classroom in which the sessions take place.

If you have any questions then please contact AMSP admin team.


Problem Solving Matters 2020 - Developing the problem solving skills necessary for the Mathematics Admission Test and the Test of Mathematics for University Admission

This course is for year 12 students from state-funded schools, academies and colleges who are interested in applying for places at Oxford University, Imperial College, Durham University and Warwick University to study Mathematics or for students who wish to improve their mathematical problem solving skills in preparation for a university course. Please note that the course is not suitable for GCSE students.

Students applying for places to study Mathematics or Computer Science courses (including joint honours) at Oxford University and any Mathematics undergraduate course at Imperial College, London will be required to sit the Mathematics Admission Test (MAT) as one part of the admissions process. Students applying for Mathematics at Durham University or Warwick University may be required to sit the MAT or TMUA (Test of Mathematics for University Admission) examination.

This course is designed to prepare students for the way they will have to think to achieve success in the MAT, TMUA and other problem-solving mathematics examinations by developing their mathematical thinking and problem solving skills.

The course usually consists of three face to face study days, (at one of the following venues : University of Oxford, Imperial College London, Durham University, Warwick University, Bristol University and University of Manchester), three summer assignments and four online follow-up sessions.

Due to the coronavirus, we are currently creating an online alternative for the first two study days. Further details of this will be posted when they are ready. We have as yet made no decision about the third study day in September/October, but we are monitoring the situation and will take this online also, if necessary.

Please do not hesitate to apply for this course - it will be definitely be running, in a coronavirus-safe manner.

  • University of Oxford: Saturday 20th June, Saturday 11th July and Saturday 26th September
  • Imperial College, London: Saturday 20th June, Saturday 4th July and Saturday 26th September
  • Durham University: Dates To be confirmed
  • University of Warwick: Saturday 27th June, Saturday 11th July and Saturday 19th September
  • University of Bristol: Dates To be confirmed
  • University of Manchester: Saturday 27th June, Saturday 11th July and Saturday 19th September

The study days will focus on specific problem solving skills that students will need to develop, featuring workshops where students will be supported by mentors from the hosting university. The course is identical at all venues and applicants are asked to select the most appropriate venue for them.

Three summer assignments. These will consist of small investigations to develop thinking skills and short exercises to develop technique. The assignments will be marked by a student's mentor and feedback provided.

The course runs June to September. To apply and for more information, please visit Problem Solving Matters 2020.