TMUA tutoring.
For courses built on mathematical reasoning. The maths itself rarely goes beyond A-Level. What catches people out is that the questions are built to punish the standard method and reward a shorter one.
Your tutor’s TMUA, 2024
Tahan Islam
8.4
out of 9.0
Used by more universities every year.
Used by Cambridge, Imperial, LSE, Warwick, Durham and others, and from the October 2026 sitting by Oxford too, which has retired its own Mathematics Admissions Test in favour of it. Two papers, each scored 1.0 to 9.0.
The syllabus is essentially AS-level pure with a little extra. That makes it deceptive: candidates read the content list, conclude they know it, and then run out of time because they solved every question the long way.
Two papers, one underlying skill.
Paper 1
Applications of mathematical knowledge
- Algebra and functions
- Sequences and series
- Coordinate geometry
- Trigonometry
- Differentiation and integration
- Exponentials and logarithms
Paper 2
Mathematical reasoning
- Logic and implication
- Proof and disproof
- Counter-examples
- Necessary and sufficient conditions
- Identifying flawed arguments
The actual skill
What separates scores
- Spotting the shorter route first
- Working backwards from options
- Eliminating without solving
- Knowing when to abandon
- Pace across 20 questions
The shorter route is the whole test.
A TMUA question usually has an intended route that takes a fraction of the time the obvious one does. Finding it is a trainable habit, and it is what preparation is for.
Looking before writing
The most valuable thirty seconds in a TMUA question happen before the pen moves. We build the habit of asking what the question is really testing before starting to solve it.
Paper 2 taken seriously
Mathematical reasoning is unlike anything in the A-Level and is where unprepared candidates lose most. Logic, proof and counter-examples need teaching in their own right.
Multiple choice used properly
The options are information. Working backwards, eliminating and testing values are legitimate techniques that many candidates never use.
Pace from the start
We work at exam speed early rather than adding a clock at the end, because accuracy at leisure does not transfer.
Four stages, starting with a free hour.
The same process every ILE student goes through. How we teach
-
01
Diagnostic
A free 60-minute session on real TMUA questions, to separate a maths gap from a reasoning one.
-
02
Close the content gap
Paper 1 draws on AS material used unusually. Anything shaky there gets fixed before reasoning work starts.
-
03
Mathematical reasoning
Paper 2 on proof, logic and what makes an argument valid, which is the part A-Level teaching mostly leaves out.
-
04
October pace
Past papers under time through the autumn, sequenced around your school work and your test date.
Most students arrive at one of these points.
- Applying to Cambridge, Imperial, LSE, Warwick or Durham.For Maths, Computer Science or Economics.
- Applying to Oxford for Maths.The TMUA replaces the MAT from the October 2026 sitting.
- Strong at A-Level, slow on the test.The commonest profile, and a method problem rather than a knowledge one.
- Struggling with Paper 2.Logic and proof are barely touched by most A-Level courses.
- Taking Further Maths.Helpful but not sufficient; the test rewards a different instinct.
- Starting in Year 12.The October sitting arrives early in Year 13.
Before you book.
Yes, from the October 2026 sitting. Oxford retired its own Mathematics Admissions Test in favour of it.
Rarely. The content is close to AS pure. The difficulty is that questions are built so the standard method takes too long, which is why preparation is about route-finding rather than content.
No. It helps, but the test rewards reasoning and speed rather than additional content, and Further Maths students without preparation are caught out just as often.
A full 60-minute lesson with your matched tutor, with no card details and no commitment. It is a real session rather than a sales call.
Yes, on Google Meet, anywhere in the UK.
Where students go next.
The first TMUA hour is free.
A full 60-minute session on a paper you have attempted, free and with no card details.