Preparing for MAT, TMUA and STEP: a course for Year 12 students (2021)


This course will introduce you to the skills and knowledge required to tackle university admissions tests such as MAT, TMUA and STEP. Although these admissions tests are based on A-level Maths and Further Maths, you’ll find that there is a huge step-up in intensity between A levels and these admissions tests. Hugely more demands on your ability to write mathematical arguments are made, and a greater depth of knowledge is needed. So, it’s important that you start preparing in Year 12.

The course will comprise of 16 session, each lasting 90 to 120 minutes and spread over 16 weeks; in each session, we’ll cover a different a different topic. Every session there will be some teaching, but I hope that you spend a considerable amount in each lesson tackling challenging questions.

You’ll be given extensive notes on each topic. These notes will contain much more material than we’ll have chance to cover in lessons, and so you’ll be expected to read them in your own time. The most successful students who have done the course in the past spent a lot of time independently studying the notes and tackling the exercises. 

In addition to tackling challenging maths questions, the other thing you’ll enjoy is meeting likeminded students from your own school as well as from other local schools. 

Who will benefit from attending?

Year 12 students who wish to prepare for MAT, TMUA and STEP.


Session 1  Algebra: difference of two squares and other identities

Session 2  Geometry: similar triangles

Session 3  Number:  divisibility and prime numbers

Session 4  Algebra: forming and solving equations

Session 5  Combinatorics: Mississippi problems and round table counting

Session 6  Writing mathematical arguments

Session 7  Number systems: rational and irrational numbers

Session 8  Algebra: sequences and series

Session 9  Number: exponentials and logs

Session 10 Algebra: polynomials

Session 11 Trigonometry: trig identities and solving trig equations

Session 12 Combinatorics: placement and counting

Session 13 Geometry: coordinates and vectors

Session 14 Calculus: curve sketching

Session 15 Calculus: integration

Session 16 Combinatorics: binomial and multinomial expansions


Anyone is eligible to attend, but in the event that the course is overbooked, priority will be given to students from state-sector schools in the East Midlands. If you cannot be accommodated on this course, similar courses in other parts of England will be recommended.

Key Facts

Event ref:




Target year:

Year 12

Curriculum focus:

University admissions tests

Mathematical focus:


Event format:

Student course

Event length:

24 hours


East Midlands


Mon 22nd Mar 2021

Course times:

17:30 - 19:00


The event is free.

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If you have any queries about this event, please do not hesitate to contact:

Chris Luke
[email protected]

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