TMUA & ESAT Tutor: Admissions Test Preparation

If you're applying for Economics, Computer Science, Mathematics, Engineering or Natural Sciences at Cambridge, LSE or Imperial, an admissions test now stands between you and your offer. The TMUA is required for courses including Cambridge Economics and Computer Science, LSE Economics, and Imperial's quantitative degrees; the ESAT covers Cambridge Engineering and Natural Sciences and Imperial's engineering and physical-science courses.

These tests are designed to be harder than A-Level: they reward mathematical thinking, not syllabus recall. That's exactly what I train.

I'm Mehdi Naqvi: A* in A-Level Mathematics and Further Mathematics, UCL Economics First, 12+ years teaching the mathematical reasoning these tests demand. I tutor online, worldwide.

Message me on WhatsApp with your target course and test date: I reply within 24 hours.

Why these tests catch strong students out

Straight-A* students regularly underperform in the TMUA and ESAT. The reasons are consistent:

  • The questions are unfamiliar by design. They test insight and logical reasoning, not practised routines.
  • Time pressure is brutal: far tighter per question than any A-Level paper.
  • Multiple-choice punishes almost-right. There are no method marks; the approach must be efficient and exact.
  • TMUA Paper 2 tests mathematical logic and proof: material most students have never been taught explicitly.

Preparation is not optional for these tests. The difference between a 5.5 and a 7.0 on the TMUA is usually 8–12 weeks of the right training.

How I prepare students

  1. Diagnostic: a timed past paper to establish your baseline and identify weak areas
  2. Skill building: targeted work on the reasoning styles the test rewards: efficient methods, logic and proof, unfamiliar problem types
  3. Timed drilling: past papers under real conditions, reviewed question by question
  4. Test-day psychology: pacing strategy, triage, and calm under pressure (my performance-coaching background matters most here)

Results

My students have won places for Economics at Oxford and Cambridge, PPE at Oxford, and offers at LSE, UCL and Imperial. My Maths students have won places for Natural Sciences at Cambridge and Chemical and Mechanical Engineering at Imperial College London. Combined with my A-Level record (100% A/A* in Mathematics), admissions-test preparation is a natural extension of how I teach: precision, speed and confidence under pressure, and the belief that a place at the very top is genuinely within reach.

FAQ

When should preparation start? Ideally 3–4 months before the test sitting (the main sitting is in October for Oxbridge applicants). Later starts are workable with an intensive schedule.

Which is right for me, TMUA or ESAT? It depends on your course: TMUA for Economics/Computing/Maths-type degrees (Cambridge, LSE, Imperial); ESAT for Cambridge Engineering/Natural Sciences and Imperial engineering and physical sciences. Requirements change: always confirm on the university's own admissions page for your entry year.

Do you also help with the rest of the application? Yes: I also advise on personal statements and broader admissions strategy through my education consultancy.

How much do lessons cost? £160/hr for ESAT/TMUA preparation.

Can you prepare me alongside my A-Level tuition? Yes: many students combine both, and the skills reinforce each other.

Book a session

Message me on WhatsApp or email zctpnaq@ucl.ac.uk with your target university, course and test date. I respond within 24 hours.