TMUA & MAT Practice Question Bank

Xie Tao’s Targeted Practice for Mastering the TMUA & MAT
TMUA & MAT Practice Questions

Independent Teacher

An Oxbridge admissions test prep expert and competition coach with nearly 20 years’ experience and a Master’s degree. Guided hundreds of students to success in Oxbridge Admissions Assessments, with over 100 receiving offers from Oxbridge, the Ivy League, and the G5 Universities.

Mastering the TMUA & MAT requires dedicated practice. Our TMUA & MAT Practice Question Bank offer a comprehensive and challenging collection of problems created by Xie Tao. With over 1200 questions and detailed solutions, this resource is your key to achieving mastery and excelling in the exams.

Why Choose UEIE's TMUA & MAT Practice Question Bank?

Comprehensive Question Bank

Over 1200 practice questions covering TMUA & MAT Core, TMUA Extension, and Oxford MAT Extension.

Designed by Xie Tao

Benefit from the expertise of a distinguished Oxbridge admission tutor.

Clear and Detailed Solutions

Master problem-solving skills with step-by-step solutions that provide a clear understanding of each approach.

Topic-Based Organisation

Easily target specific areas for practice.

Questions for Every Learner

Challenge with a wide range of difficulty levels, from foundational to advanced.

Great Companion to the Video Lecture Series

Reinforce your learning and maximise your progress when used alongside TMUA & MAT Video Lecture Series.

Who Will Benefit Most

Students applying to Oxford, Cambridge, Imperial, LSE, UCL, or other top universities for mathematics, computer science, economics, or related quantitative fields.

Ambitious students targeting high scores on the TMUA and the Oxford MAT for a competitive edge.

Individuals seeking a structured and effective way to prepare for these challenging assessments.

Your TMUA or Oxford MAT Success Journey Starts Here

UEIE’s TMUA & MAT Practice Question Bank features 3 core modules configurable into 3 premium course bundles, engineered for students with varying academic profiles.

Design your optimal TMUA and Oxford MAT success blueprint today!

Course Bundle

TMUA MAT TMUA & MAT
TMUA & MAT Core Module
TMUA Extension Module
MAT Extension Module

 TMUA & MAT Course Overview

 

Course Bundle

TMUAMATTMUA & MAT
Topics202025

Practice Sets

404050
Practice Questions8008001000
Est. L.H.100 hrs120 hrs140 hrs
PriceUS$685.18 US$685.18US$822.77

* Enjoy access to the course materials until your test day, allowing you to learn at your own pace.

Curious why we've combined TMUA and MAT prep into one course?

Explore the reasons in Mr. Xie Tao's detailed comparison:

TMUA vs. MAT: Uncover the Similarities and Differences

Enrol Now

Start Practicing & Ace the Exams!

Practice Questions Modules

Reinforce your learning with three corresponding modules of TMUA & MAT Practice Questions, providing targeted practice and detailed solutions.

TMUA & MAT Core

Practice Questions

TMUA Extension

Practice Questions

Oxford MAT Extension

Practice Questions

Course Preview

TMUA & MAT 2025 Coursebook & Categorised Questions

Revised annually and aligns closely with the latest TMUA and Oxford MAT syllabi and features hundreds of exam-style practice questions designed to help you achieve top scores.

Purchase any bundle and get corresponding TMUA or Oxford MAT Categorised Questions (2025 Edition) PDFs FREE!

TMUA & MAT Practice Qustions (online)

Boost your exam performance with 1000+ online practice questions and detailed solutions covering all the essential topics.

Frequently Asked Questions

The TMUA (Test of Mathematics for University Admission) is a computer-based test that assesses your mathematical thinking and reasoning skills. It’s used by several universities as part of their admissions process for mathematics and related courses. Learn more in our TMUA Essential Guide: The Key Concepts.

The Oxford MAT (Mathematics Admissions Test) is also a compter-based test, since 2023, that focuses on problem-solving and mathematical reasoning. It’s specifically required for applicants to undergraduate mathematics, computer science or related courses at the University of Oxford. Learn more in our Oxford MAT Essential Guide: The Key Concepts.

You’ll get:

  • Engaging video lectures (TMUA & MAT Video Lectures users only)
  • Downloadable coursebook PDFs
  • Online practice questions
  • Detailed solutions to all questions
  • FREE categorised questions PDFs when you purchase a bundle

Our learning materials include a mix of original questions crafted by UEIE’s expert tutors and questions carefully selected or adapted from past Oxbridge admissions tests and relevant competitions.

After purchase, you’ll receive immediate access to the video lectures (TMUA & MAT Video Lectures users only) and practice questions through your online account. You can stream the lectures and access them anytime, anywhere, on your PC, tablet or mobile devices for two years.

While the video lectures and materials are designed to be comprehensive, we understand you might have specific questions or need a deeper understanding of the concepts. We offer paid tutoring services to provide personalized support and answer your questions in detail. Contact us for more information about our tutoring options.

Please note that we DO NOT offer refunds for our video lectures and practice questions. We encourage you to carefully review the course detials, including course curriculum, sample lectures, sample practice questions, and FAQs to ensure the course is a good fit for your needs before purchasing.

Our dedicated support team is readily available to assist you with any technical questions or technical difficulties. You can reach them through instant message app or info@ueie.com.

Contact Us

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Core Maths Thinking

• Foundations

Problem-solving strategies, number sense, sets & functions

• Data Analysis & Statistics

Descriptive stats, probability, statistical reasoning

• Algebraic Thinking

Manipulation, polynomials, sequences & series

TMUA & MAT (Intensive)

• Algebra

Ratios and proportions, algebraic manipulations, equations, inequalities, polynomials

• Calculus

Differentiation, integration

• Functions

Graphs of functions, curve sketching, trigonometric functions

• Geometry

Plane geometry, coordinate geometry, Solid figures

• Sequences and series
• Statistics

Counting and probabilities, statistics

• Logical Reasoning & Mathematical Proofs

TMUA & MAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford MAT Extension

• Algorithmic Thinking Skills
• Deductive Reasoning
• Number Theory

Maths 1 (Intensive)

• Algebra

Manipulation, equations, inequalities

• Functions

Graphs of functions

• Geometry

Plane geometry, solid figures

• Number & Sequences

Counting, sequences, ratios & proportions

• Statistics and probability

Maths 2 (Intensive)

• Calculus

Differentiation, integration

• Functions

Curve sketching, trigonometry, exponentials & logarithms

• Algebra

Polynomials, equations, binomial expansions, series

• Geometry

Coordinate geometry

Physics (Intensive)

• Mechanics

Kinematics, statics, dynamics, work, energy, momentum

• Waves & Optics

Waves, ray optics

• Electromagnetism

Circuits, electrical elements, magnetism, electromagnetic induction

• Thermal Physics
• Matter
• Nuclear Physics

Chemistry (Intensive)

• Principles of chemistry

Atomic structure, chemical bonding, formulae and equations, separation techniques, quantitative chemistry, oxidation/reduction, electrolysis

• Inorganic chemistry

Metals, acids/bases/salts, chemical tests, air and water

• Physical chemistry

Energetics, kinetic/particle theory, rates of reaction, equilibrium

• Organic chemistry

Organic chemistry, environmental

Biology (Intensive)

• Cells and Gene expression

Proteins/enzymes, DNA, cell structure, gene mutation, membrane transport, cell division, gene technologies

• Genetics and Evolution

Inheritance, variation and natural selection

• Human Physiology

Digestive, respiratory, circulatory, nervous, endocrine, urinary, reproductive, immune system, homeostasis

• Diseases

Communicable and non-communicable diseases

• Plant Physiology

Respiration and photosynthesis, plant transport, transpiration

• Ecology

Ecosystem, material cycling, biodiversity

ESAT & PAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford PAT Extension

• Circular motion
• Wave optics
• Atomic Physics
• Astrophysics

Gravitation, moon phases, solar system

STEP Core

This module establishes the core mathematical principles assessed in STEP.

• Logic and Proof
• Counting
• Number Theory
• Algebra

Equations, Inequalities, and Polynomials

• Functions and Graphs

Functions, graphs, curve sketching, and trigonometric identities

STEP 2 Pure Mathematics

Dive deeper into pure mathematics with topics crucial for STEP 2.

• Trigonometry
• Sequences and Series
• Integration and Differential Equations
• Complex Numbers
• Vectors and Matrices
• Plane Geometry
• Coordinate Geometry

STEP 2 Mechanics & Statistics

Gain a solid understanding of mechanics and statistics concepts.

• Mechanics

Static equilibrium, kinematics, dynamics, energy and momentum

• Statistics

Probability, distributions, games and strategies

STEP 3 Pure Mathematics

Tackle advanced pure math topics to excel in STEP 3.

• Further Complex Numbers
• Maclaurin Series
• Further Differential Equations
• Further Vectors and Matrices
• Conics, Parametric Equations and Polar Coordinates

STEP 3 Mechanics & Statistics

Master challenging concepts in mechanics and statistics.

• Mechanics

Impact, circular motion, and simple harmonic motion

• Statistics

Further random variables

TMUA & MAT Core

• Statistics

Averages, ranges, distributions

• Counting & Probability

Permutations, combinations, and probability calculations

• Algebra

Algebraic manipulation, equations, inequalities, and polynomials

• Trigonometry

Trigonometric functions and identities

• Functions & Graphs

Graphing techniques and curve sketching

• Calculus

Differentiation, integration, and their applications

• Geometry

Plane geometry, coordinate geometry, and geometric proofs

TMUA Extension

• Solid Geometry

Properties of 3D shapes, surface area, and volume

• Ratios & Proportions

Direct and inverse proportion, scale factors

• Logic

Logical statements, reasoning, and proofs

MAT Extension

• Number Theory

Divisibility, prime numbers, and modular arithmetic

• Deductive Reasoning

Mathematical arguments, and formal logic

• Algorithmic Thinking

Elementary algorithm design and analysis

ESAT Maths 1

• Statistics

Average, range, distribution 

• Counting & Probability

Permutations, combinations, probability

• Algebra

Algebraic manipulation, equations, and inequalities

• Functions & Graphs

Graphs of functions

• Sequences

Number sequences and patterns

• Geometry

Plane geometry and solid figures

• Ratios & Proportions

Understanding and applying ratios

ESAT Maths 2

• Polynomials

Polynomial functions and equations

• Curve Sketching

Sketching graphs of various functions

• Trigonometry

Trigonometric functions and identities

• Exponentials & Logarithms

Exponential and logarithmic functions

• Equations

Advanced equation-solving techniques

• Binomial Expansions

Expanding binomial expressions

• Series

Arithmetic and geometric series

• Calculus

Differentiation and integration

• Coordinate Geometry

Using coordinates in geometric problems

ESAT Physics

• Mechanics

Kinematics, static equilibrium, dynamics, work and energy, momentum

• Matter

Properties of matter

• Thermal Physics

Heat, temperature, and thermodynamics

• Waves

Wave properties, wave phenomena (including optics)

• Electricity & Magnetism

Electric circuits, magnetic fields, electromagnetism

• Nuclear Physics

Basic concepts of nuclear physics

Oxford PAT Maths

• Algebra

Algebraic manipulation, equations, inequalities

• Trigonometry

Trigonometric functions and identities

• Sequences

Sequences, series and patterns

• Polynomials

Polynomial functions and equations

• Calculus

Basic differentiation and integration techniques

• Geometry

Plane geometry, coordinate geometry, solid figures

Oxford PAT Physics

• Mechanics

Kinematics, forces, energy, momentum

• Waves

Wave properties, wave phenomena

• Electricity & Magnetism

Electric circuits, magnetic fields

• Optics

Reflection, refraction, lenses

• Nuclear Physics

Basic concepts of nuclear physics

• Astrophysics

Moon phases, eclipses, solar system

ESAT & PAT Complete

This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.

• Maths

Statistics, algebra, trigonometry, functions, calculus, geometry

• Physics

Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics