TMUA Intensive Preparation Course

The TMUA (Test of Mathematics for University Admission) is a key entry requirement for Mathematics, Economics, Computer Science and related courses at Cambridge, Imperial College London, Warwick, LSE, Durham and other leading universities. This five-week course of 15 lessons builds systematically from the fundamentals through to advanced question types, helping students develop efficient, reliable and well-structured problem-solving under timed pressure — not simply getting the right answer, but getting it quickly and consistently.

Why choose this course

• Complete coverage of both TMUA papers. The course trains the mathematical knowledge and application tested in Paper 1, and targets the mathematical reasoning and proof of Paper 2 — the section where most candidates lose marks and which is hardest to study alone.
• Staged training by question type. Work through individual topics and question types one at a time, then progress to mixed questions and timed mock exams.
• Emphasis on key insight rather than brute calculation. Tutors demonstrate how experienced problem-solvers identify the core of a question, avoid redundant working and choose the best method.
• Past papers reserved for timed mocks. The most recent official papers are held back for timed simulation, giving a true measure of your progress.
• From guided to independent. Support is reduced progressively as the course advances, helping you become a confident, independent problem-solver.

Course outline: 15 structured lessons

Pre-Class: review the relevant A-Level, IB or AP concepts in preparation for the course proper.

Stage 1 · Mathematical knowledge and question types (Lessons 1–9 | Paper 1)

• Lesson 1: Algebra and functions I
• Lesson 2: Algebra and functions II
• Lesson 3: Sequences and series
• Lesson 4: Coordinate geometry
• Lesson 5: Trigonometry
• Lesson 6: Exponentials and logarithms
• Lesson 7: Differentiation
• Lesson 8: Integration
• Lesson 9: Probability and statistics

Stage 2 · Mathematical reasoning and proof (Lessons 10–15 | Paper 2)

• Lesson 10: Necessary and sufficient conditions
• Lesson 11: Negation of quantifiers
• Lesson 12: The four forms of implication (original, converse, inverse and contrapositive)
• Lesson 13: Disproof by counterexample
• Lesson 14: Methods and techniques of proof
• Lesson 15: Identifying logical errors in proofs

What you will learn

• Recognise common question structures and quickly identify what is being tested and the best approach.
• Master efficient simplification techniques to reduce working and lower error rates under time pressure.
• Build rigorous reasoning and proof skills to handle the logic questions of Paper 2 with confidence.
• Close gaps systematically with an error log, turning every mistake into marks gained.
• Test yourself in timed mocks and get used to the real pace and pressure of the exam before the day itself.

Teaching approach

The course is built around interaction and problem-solving. Tutors first explain each new concept and technique clearly, then demonstrate expert solution strategies, after which students apply them through guided and then independent practice. We encourage students to explain their reasoning, compare different methods and consider why a particular approach works or fails. Homework errors are reviewed regularly, with focused work on recurring weak points.

Course materials

• Official TMUA specimen papers and past papers
• Selected multiple-choice questions from MAT past papers
• Timed question sets and full mock examinations
• Solution notes, error logs and progress review materials

Course details

■ Duration: 5 weeks, 3 lessons per week

■ Total lessons: 15 (1.5 hours each)

■ Tutor: Hyunmin — https://www.oxbridgesolution.com/mentors/626

■ Format: Online

■ Schedule:
13 July – 15 August (5 weeks)
Every Monday, Thursday and Saturday
20:00–21:30 (KST)

■ Pre-class to-do list:

1. Download the specimen papers and complete them under exam conditions.
2. Start an error log.
3. Note down your questions and bring them to the first lesson.
4. Self-diagnose: review or learn the mathematical concepts on the TMUA syllabus.

📧 Places are limited and the course is already under way — please contact us to check current availability or to find out more.