Pre-launch price to 15 Nov Sitting the TMUA in January? EntryQ, my TMUA question bank and mock-paper app, launches on Monday 16 November 2026. Pre-launch price until Sunday 15 November: £30 for access to the January 2027 sitting, or £80 for access until 17 October 2027. Then £25 a month or £175 a year. Pre-book the app →

TMUA preparation

TMUA preparation
with specialist mathematical reasoning support

The TMUA is a genuine obstacle for many strong applicants. Paper 2 in particular tests mathematical reasoning skills that are not developed in standard A-Level teaching. The right preparation directly addresses this gap.

New: free timed speed practice. TMUA Core Drills gives you 200 core-skill questions across eight matched rounds, timed per question with worked solutions, so the mechanics stop costing you time in the exam. During the current pilot you need an access code, so email to request one.

TMUA sittings for 2027 entry are Monday 12 to Friday 16 October 2026 and Monday 4 to Friday 8 January 2027, with January bookings opening at 3pm (UK time) on 26 October 2026; the January sitting is generally not accepted by Cambridge or Oxford, so check each university you are applying to.

Book TMUA preparationFull Oxbridge preparationEntryQ app: pre-launch price from £30

Free TMUA practice

50 TMUA questions with full worked solutions, graded by difficulty (D2–D5), free, marked instantly.

They are a free sample from the new EntryQ TMUA question bank, launching on 16 November 2026 with about 2,500 questions and 20 timed mock papers, a Plan that picks questions from your own results, Progress by topic and difficulty, and instant marking. Pre-launch price until 15 November 2026: £30 for access to the January 2027 sitting, or £80 for access until 17 October 2027. The full interactive skill dictionary, all 123 TMUA skills, most with an EntryQ example question and its answer, plus a printable Skills Compass PDF, is free to explore on the statistical report, no sign-up needed.

Open the 50 TMUA questions → Watch video worked solutions →

Limited-time pre-launch price · ends Sunday 15 November

EntryQ launches on Monday 16 November 2026. Until Sunday 15 November the pre-launch price is £30 for access to the January 2027 sitting, or £80 for access until 17 October 2027.

EntryQ is a TMUA question bank with about 2,500 original questions and 20 timed mock papers, a Plan that picks questions from your own results, Progress by topic and difficulty, and instant marking. The January 2027 sitting pass (£30) runs from launch to Friday 8 January 2027, the last day of the January 2027 TMUA window. The pass to 17 October 2027 (£80) also covers the October 2027 sitting. From launch on Monday 16 November the price is £25 a month or £175 a year. No payment on the form; you pay by bank transfer, with a full refund up to 24 hours before your pass starts.

See the pre-launch price & pre-book → All free TMUA resources →

Free interactive research

TMUA Past-Paper Statistical Report, every official question 2016–2023, individually assessed.

All 320 questions from the 16 official papers classified by topic and by the specific skills each tests, rated for difficulty, with interactive charts of how the exam has changed, which skills come up most, where the hardest questions sit, and what to prioritise in revision.

Video: TMUA Past Paper Deep Statistical Analysis and Revision Advice, Dr Nicky Grant walks through the findings of the 320-question past-paper report

Watch first (10 min): the headline findings, how the papers have got harder, which skills dominate, and the revision advice that follows from them.

Explore the statistical report → New: what changed in the 2024–2025 TMUA →

New · Timed simulation

The TMUA 2024 projected exam, two full timed papers in a VUE-style interface.

No 2024 or 2025 papers were released, so this is the next best thing: 40 original questions built from what candidates reported and calibrated against all 320 official questions, sat under real exam conditions: a 75-minute timer, flag-and-return navigator, instant marking, time on every question and full worked solutions. Both papers are free, with no sign-up.

Sit the projected exam →

How this exam was built →

Free revision guide (PDF)

TMUA Paper 2: Mathematical Reasoning, a 37-slide revision guide built straight from the official specification.

Paper 2 is the reasoning paper, 20 questions in 75 minutes on logic and proof, the part A Level teaching leaves out. This deck walks every part of Section 2 in order: statements and truth; and / or / not; if…then, converse and contrapositive; necessary and sufficient conditions; for all / there exists and how to negate them; and the proof methods and common proof errors, each with a plain-English definition, an example at the level of the official Notes on Logic and Proof, and a graded ‘try it’ question (D2–D5). It closes with a layered revision plan and where to practise each skill. Everything is in words, exactly as the test requires, no symbolic notation needed.

Download the Paper 2 revision guide (PDF) ↓ Open in browser →

Free study notes

TMUA Paper 2 mathematical reasoning, a new set of free study notes on logic and proof.

Six lessons covering the reasoning A Level teaching leaves out: logical connectives and truth tables, implication with its converse and contrapositive, necessary and sufficient conditions, quantifiers and their negation, the methods of proof, and how to find the flaw in a broken argument. Each is written from scratch with worked examples and ‘check your understanding’ questions.

Open the TMUA Paper 2 study notes →

Admissions preparation, one-to-one onlineFrom £130 / hour
Packages of sessionsDiscounts available

Free 30-minute consultation, no obligation. Full pricing & how sessions work →

Subject match

Who this support is for

A quick match for the students, topics and goals covered.

Who this is for

  • Cambridge Economics applicants
  • Warwick, Durham and LSE-related quantitative applicants where TMUA is relevant
  • Students strong at school maths but new to admissions reasoning
  • Applicants needing structured Paper 1 and Paper 2 practice

Topics covered

  • Algebraic problem solving and functions
  • Number, sequences, inequalities and proof
  • Logic, converse, contrapositive and necessary/sufficient conditions
  • Geometry, graphs and coordinate reasoning
  • Timing, elimination and error diagnosis
  • Linking TMUA work to economics interview reasoning

Book a free TMUA diagnostic consultation View pricing

Credential match

Why the academic background matters for TMUA

TMUA preparation is not only about speed; it is about recognising structures, definitions, implications and traps under time pressure.

Safe and trusted

  • Safeguarding courses completed with the National College.
  • Experience working in secondary schools.
  • Enhanced DBS available to parents and schools on request.

Relevant background

  • Specialist economics and quantitative-methods background.
  • University teaching experience in quantitative subjects.
  • Support for formal reasoning, proof-style thinking, functions, graphs and probability.
  • Links to credentials and free resources help verify subject background.

What the TMUA tests

Two papers.
Two very different challenges.

Paper 1 · 75 minutes

Mathematical knowledge

Algebra, calculus, trigonometry, sequences, geometry and statistics. The content is at A-Level standard but applied at speed with less scaffolding. Most students with strong A-Level grades can improve their Paper 1 score significantly with targeted timed practice.

20 multiple-choice questions · no calculator

Paper 2 · 75 minutes · most impact here

Mathematical reasoning

Evaluating mathematical arguments, identifying flaws in proofs, constructing and assessing logical reasoning. This is the paper most students struggle with because A-Level teaching does not develop these skills. Sessions on Paper 2 focus on learning to read and evaluate mathematical argument, a skill that also directly helps in Oxbridge interviews.

20 multiple-choice questions · no calculator

Why me

Mathematical reasoning
is what I do

Mathematical reasoning focus
The style of mathematical reasoning tested in TMUA Paper 2, evaluating arguments, identifying flaws, constructing proofs, is exactly the kind of thinking Cambridge econometrics and mathematics demands. Dr Grant works with this daily in research.
Paper 2 is teachable
Many students believe Paper 2 performance is fixed. It is not. The skills tested are learnable with focused practice and the right feedback. Most students make their biggest gains here, not in Paper 1 where there is less room to improve.
Past paper focus
Sessions are structured around past TMUA papers under timed conditions, with detailed explanations of every question. The patterns in what the test asks repeat across years, recognition of these patterns is itself a skill.
Fits within broader Oxbridge preparation
TMUA preparation can run alongside interview preparation and personal statement review. Many students book a combined Oxbridge programme. See the full Oxbridge preparation page.

FAQs

TMUA FAQ

The TMUA is required or recommended for economics and related courses at Cambridge, Warwick, Durham, Lancaster, and several other UK universities. Requirements change, so always check the admissions pages for the specific universities and courses you are applying to.

The test is typically sat in October. Most students benefit from starting preparation in September, with four to six focused sessions (see the next question for the breakdown by paper). Starting earlier in Year 13 is also fine and reduces the pressure near the test date.

Typically four to six sessions: two on Paper 1 (speed and accuracy), and two to four on Paper 2 (reasoning skills). The exact number depends on starting level and available time before the test date.

TMUA preparation is a dedicated specialism, not a general add-on. Dr Grant has individually assessed all 320 official TMUA questions set from 2016 to 2023, publishing the analysis as a free interactive statistical report, and built a free 40-question projected exam directly from that research.

Usually yes. The TMUA tests mathematical reasoning and logic under time pressure rather than the routine application of A-Level methods, a different skill that most students have never been explicitly taught. Even strong mathematicians typically improve significantly with a small number of focused sessions.

The projected exam and practice questions are built from a systematic analysis of all 320 official 2016–2023 questions rather than guesswork, and the full methodology, sources used, how public candidate feedback was incorporated, and the originality standards behind every question, are published for transparency in how the projected exam was built.

What students say

“Dr Grant's mock interviews were incredibly realistic and helped me develop the confidence and analytical thinking needed for Cambridge. His personal statement guidance was equally valuable. His mentorship made a huge difference throughout my application, and I am delighted to have received my Cambridge offer.”
XinqiOffer Holder, Economics, University of Cambridge
“Dr Grant's guidance throughout my LSE application was exceptional. His interview coaching and personal statement feedback strengthened both my confidence and my academic approach. I highly recommend him to any student applying for competitive Economics programmes.”
YiyingOffer Holder, Economics, London School of Economics and Political Science
“Every mock interview with Dr Grant challenged me to think more deeply and communicate my ideas clearly. His feedback was insightful, encouraging and practical. I felt thoroughly prepared for my Cambridge interview and was thrilled to receive an offer.”
Offer HolderEconomics, University of Cambridge
“Dr Grant helped me develop genuine economic reasoning rather than memorising answers. His realistic interview preparation and thoughtful advice gave me the confidence to perform at my best and secure my Cambridge offer.”
Offer HolderEconomics, University of Cambridge
“Dr Grant is an outstanding mentor whose interview preparation closely reflected the real Cambridge experience. His support with both my personal statement and interview performance played a significant role in my successful application.”
Offer HolderEconomics, University of Cambridge

Prepare properly.
It makes a difference.

Free 30-minute initial consultation to discuss your target universities, your current level, and the right preparation plan.

Book a free TMUA diagnostic consultation
Cambridge BA · MPhil · PhDPaper 1 & Paper 2Past paper practiceOnline International and UK-wide
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