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Test of Mathematics for University Admission (TMUA) Syllabus

Mathematics aptitude test used by some UK universities for maths, economics and computer science applicants.. The complete Test of Mathematics for University Admission (TMUA) outline — 7 subjects, 24 chapters and 80 topics — laid out so you can see exactly what has to be covered and tick each item off as you go.

7Subjects
24Chapters
80Topics
150Sub-topics
353Flashcards
~90hEst. first pass

Test of Mathematics for University Admission (TMUA) subjects

Each subject below has its own page with the full chapter → topic → sub-topic tree and a set of real exam-style flashcards.

Number, Algebra and Surds

3 chapters · 11 topics · 25 sub-topics

~15h first pass · 51 flashcards Equations and Inequalities

3 chapters · 10 topics · 20 sub-topics

~10h first pass · 50 flashcards Coordinate Geometry and Graphs

4 chapters · 13 topics · 23 sub-topics

~15h first pass · 50 flashcards Functions, Sequences and Series

4 chapters · 14 topics · 26 sub-topics

~15h first pass · 51 flashcards Trigonometry

3 chapters · 9 topics · 15 sub-topics

~10h first pass · 50 flashcards Calculus

3 chapters · 10 topics · 19 sub-topics

~10h first pass · 50 flashcards Mathematical Reasoning and Proof

4 chapters · 13 topics · 22 sub-topics

~15h first pass · 51 flashcards

Test of Mathematics for University Admission (TMUA) flashcard decks

353 question-and-answer cards across 7 decks, written against this syllabus. Preview any deck free.

How to work through the Test of Mathematics for University Admission (TMUA) syllabus

The outline on this page is arranged the way the syllabus itself is: subject, then chapter, then topic, then sub-topic. That last level is what most study plans skip, and it is where coverage actually goes wrong — a chapter marked "done" often has three sub-topics inside it that were never touched.

Weight your plan accordingly: Functions, Sequences and Series carries 14 topics while Trigonometry carries 9. Giving both the same number of weeks is the most common planning mistake for Test of Mathematics for University Admission (TMUA).

The ~90 hour estimate above is a first pass only: roughly 45 minutes per topic plus 12 minutes per sub-topic. Revision cycles, past papers and mocks sit on top of that number.

Test of Mathematics for University Admission (TMUA) syllabus FAQ

What subjects are in the Test of Mathematics for University Admission (TMUA) syllabus?

Test of Mathematics for University Admission (TMUA) covers 7 subjects: Number, Algebra and Surds, Equations and Inequalities, Coordinate Geometry and Graphs, Functions, Sequences and Series, Trigonometry, Calculus and Mathematical Reasoning and Proof. Together they contain 24 chapters and 80 named topics.

How many topics does the Test of Mathematics for University Admission (TMUA) syllabus contain?

The full Test of Mathematics for University Admission (TMUA) outline breaks down into 24 chapters, 80 topics and 150 sub-topics. Functions, Sequences and Series is the largest single subject with 14 topics across 4 chapters.

How long does it take to cover the whole Test of Mathematics for University Admission (TMUA) syllabus?

Roughly 90 hours for one full pass. That estimate allows about 45 minutes per topic plus 12 minutes per sub-topic, so it is first-pass coverage — revision, past papers and mock tests sit on top of it. At 3 hours a day that is about 4 weeks.

Are there Test of Mathematics for University Admission (TMUA) flashcards?

Yes — 353 question-and-answer flashcards across 7 decks, one per subject, written against this syllabus. A sample of every deck is readable on this site for free, and the complete decks are in the Examius app.

Is this Test of Mathematics for University Admission (TMUA) syllabus free to use?

Yes. Every page here is free to read, and importing the Test of Mathematics for University Admission (TMUA) syllabus into the Examius app to tick off topics as you finish them is free too, in United Kingdom and everywhere else. No account is needed to start.

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