TMUA course & practice platform

TMUA mock tests and practice questions, with a worked explanation for every answer

Learn the full TMUA syllabus with a comprehensive course and structured study material. Sit timed Paper 1 and Paper 2 papers in the real 20-question, 75-minute format, or both together as a 150-minute mock. Every question comes with a worked explanation and a topic tag, so your results show exactly which areas of mathematics and reasoning to practise next.

Built for ambitious applicants targeting leading universities

  • University of Oxford
  • University of Cambridge
  • Imperial College London
  • London School of Economics
  • University College London
  • King's College London
  • University of Warwick
  • Durham University
  • University of Bristol
  • University of Glasgow

Complete course & study material

Your complete TMUA course, topic by topic.

Prepare with a comprehensive TMUA course and study material covering every subject and every topic in the exam syllabus. Build your understanding, revisit the areas you find difficult, then apply what you learn in practice questions and mock tests.

Explore the TMUA course

Every subject. Every topic.

Study material organised around the complete exam syllabus, ready to work through from the beginning or revisit when you need it.

  • Applications of mathematical knowledge
  • Mathematical reasoning

TMUA in one view

Two papers, one focused preparation system

Each card shows its format, worked feedback and tested topics. The published practice library is summarised directly below.

Paper 1 — Applications of mathematical knowledge 20 questions · 75 minutes · no calculator Worked explanations

Apply mathematical knowledge to unfamiliar problems across topics in the exam specification.

  • Algebra and functions
  • Sequences and series
  • Trigonometry
  • Exponentials and logarithms
  • Differentiation and integration
Paper 2 — Mathematical reasoning 20 questions · 75 minutes · no calculator Worked explanations

Construct and analyse mathematical arguments using elementary logic and proof, applied to the same mathematical content.

  • Logic and proof
  • Identifying errors in arguments
  • Applied reasoning
Complete mock test One sitting · 150 minutes Combined readiness report

Both papers in exam order, with the combined result and a readiness report revealed at the end.

Concept Practice and Sprints By topic Targeted skill practice

Practice the bank by topic, or run a short timed Sprint on a weak topic.

  • 11 full mock tests
  • 43 practice tests
  • 380 Concept Practice questions
  • 1600+ questions in total

Concept Practice questions are a separate bank rather than papers, so they are not counted in the mock and practice test figures.

Your preparation loop

Practise, diagnose, improve, repeat

Start with one topic, one paper or a complete mock. Every result points towards the next useful practice session.

  1. Concept Practice

    Target a specific maths or reasoning topic with focused questions or a timed Sprint.

  2. Individual Practice Test

    Take Paper 1 or Paper 2 separately under the real time limit, without a calculator.

  3. Complete Mock Test

    Sit both papers in one realistic, calculator-free 150-minute simulation.

  4. Progress report

    Track overall readiness, paper performance and accuracy by topic.

  5. Identify Weak Skills

    Find the topic with the weakest recent evidence and practise it next.

Then return to Concept Practice

  • Timed like the real test Real timings, 20 questions per paper and no calculator, so your practice translates on test day.
  • A worked explanation for every question Answer-key marking on both papers, with a step-by-step explanation behind every answer.
  • Progress by topic See readiness and accuracy by topic, then follow the next best action.

Feedback and access

Understand every answer—and what to practise next

Instant answer-key marking, a worked explanation for every question, and topic-level evidence across every result.

  • Answer-key marking

    Every answer is checked on submission. You see your score per paper, the correct answer to every question, and the topic tag it was testing.

  • A worked explanation for every question

    Each question in the review opens into a step-by-step explanation, so a wrong answer becomes a method you can reuse rather than a number.

  • Topic evidence that leads somewhere

    Track readiness and accuracy by topic and paper, then use the next best action to choose a Concept Practice set, Sprint or timed paper.

TMUA practice questions, answered

Is the TMUA practice free?

Yes, to start. Free papers in both Paper 1 and Paper 2 come with scoring and worked explanations, and Concept Practice is open to every signed-in user. The full question banks, complete mocks and progress tracking need a paid plan.

Does every question have a worked solution?

Yes. Every question in a scored paper opens into a step-by-step worked explanation in the review, alongside the correct answer and the topic it was testing.

Are the papers timed and calculator-free like the real test?

Yes. Each paper is 20 multiple-choice questions in 75 minutes with no calculator, and the complete mock runs both papers in order over 150 minutes.

Is there AI grading for the TMUA?

No — the TMUA is entirely multiple-choice, so there is nothing to grade with AI. Papers are marked against the answer key, and TMUA plans carry no coin allowance because nothing on them is coin-metered.

What is Concept Practice?

The question bank, browsable by topic — algebra and functions, sequences and series, integration, logic and proof, and more. You can favourite questions, add notes, and run a rolling session on one topic.

Can ExamPrepIQ guarantee a university offer?

No. Universities set their own TMUA requirements and use results alongside the rest of an application. ExamPrepIQ is not affiliated with the test provider or any university and cannot guarantee any score or admissions outcome.

When is the TMUA and how do I register?

Dates, fees and deadlines are set by the test provider and change each cycle. See the dated TMUA 2027 guide linked above, which links to the official sources — and always confirm on the official website before booking.

Begin with a baseline

Sit one TMUA paper and see where you stand.

Your first timed paper builds the plan: a readiness score, accuracy by topic, and a clear next session. Free to start, no card required.