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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 full Test of Mathematics for University Admission (TMUA) syllabus: 7 subjects, 24 chapters, 80 topics and 150 sub-topics, with 353 flashcards written against it.

7Subjects
24Chapters
80Topics
150Sub-topics
353Flashcards

Test of Mathematics for University Admission (TMUA) subjects

Test of Mathematics for University Admission (TMUA) has 7 subjects. Each one is listed below with its chapters in syllabus order; open a subject for every topic and sub-topic inside them.

Number, Algebra and Surds

3 chapters · 11 topics · 25 sub-topics · 51 flashcards

  1. Indices, Surds and Standard Form · 4 topics
  2. Algebraic Manipulation · 4 topics
  3. Polynomials · 3 topics

Equations and Inequalities

3 chapters · 10 topics · 20 sub-topics · 50 flashcards

  1. Linear and Simultaneous Equations · 3 topics
  2. Quadratic Equations and the Discriminant · 3 topics
  3. Inequalities · 4 topics

Coordinate Geometry and Graphs

4 chapters · 13 topics · 23 sub-topics · 50 flashcards

  1. Straight Lines · 3 topics
  2. Circles · 3 topics
  3. Graphs of Functions · 3 topics
  4. Transformations of Graphs · 4 topics

Functions, Sequences and Series

4 chapters · 14 topics · 26 sub-topics · 51 flashcards

  1. Functions · 3 topics
  2. Exponentials and Logarithms · 4 topics
  3. Sequences and Series · 4 topics
  4. The Binomial Expansion · 3 topics

Trigonometry

3 chapters · 9 topics · 15 sub-topics · 50 flashcards

  1. Trigonometric Ratios and Rules · 3 topics
  2. Trigonometric Functions and Graphs · 3 topics
  3. Trigonometric Identities and Equations · 3 topics

Calculus

3 chapters · 10 topics · 19 sub-topics · 50 flashcards

  1. Differentiation · 4 topics
  2. Integration · 3 topics
  3. Applications of Calculus · 3 topics

Mathematical Reasoning and Proof

4 chapters · 13 topics · 22 sub-topics · 51 flashcards

  1. Logic and Argument Structure · 3 topics
  2. Methods of Proof · 4 topics
  3. Analysing Mathematical Arguments · 3 topics
  4. Inference and Conditions · 3 topics

Test of Mathematics for University Admission (TMUA) flashcards

353 question-and-answer cards across 7 subject decks, each shown in full on its subject page.

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.

How many chapters and topics are in the Test of Mathematics for University Admission (TMUA) syllabus?

24 chapters and 80 topics, broken down further into 150 sub-topics, across 7 subjects. Functions, Sequences and Series is the largest subject, with 14 topics in 4 chapters.

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

Yes — 353 question-and-answer flashcards in 7 subject decks. Each deck is printed in full on its subject page here, and the same cards are in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.

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