TMUA & MAT Live Classes

Expert-Led Prep for Oxbridge Success: Xie Tao’s Proven Approach and Insider Insights
Content:

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.

The road to Oxbridge is paved with challenges, but with the right guidance, your dream is within reach. Xie Tao’s TMUA & MAT Live Classes offer more than just instruction; they provide a structured path to mastering the TMUA and Oxford MAT, focusing on developing elite problem-solving skills.

Why Choose UEIE's TMUA & MAT Live Classes?

Learn from the Best in the Field

Gain invaluable insights and knowledge from Xie Tao, a distinguished Oxbridge tutor with a Master's degree, boasting nearly two decades of experience.

Master the TMUA & Oxford MAT

Choose your path to success with our Comprehensive Course (110-hour), Summer Bootcamp (80-hour), or Pre-Test Bootcamp (32-hour) options with optional Oxford MAT Extension module.

Build a Powerful Foundation

Start early with our unique Spring Core Maths Thinking module, designed to give you a decisive edge in the TMUA & MAT.

Specialised Oxford MAT Extension Module

Prepare for all possibilities with our 8-hour optional module, including 4 sets of Oxford MAT mock exams, tailored for those targeting Oxford.

Develop Elite Problem-Solving Skills

Transform your mathematical abilities with Xie Tao's expert guidance, progressing from core concepts to advanced exam-conquering strategies.

Flexible Learning with Recordings

Benefit from live online or in-person courses, plus access to session recordings for review and reinforcement at your own pace.

Extensive Practice and Free Mock Exams

Put your skills to the test with over 1600 practice questions and free access to our TMUA & MAT Mock Exams.

Join a Legacy of Success

Follow in the footsteps of over 100 students who have gained admission to Oxbridge, Ivy League, and G5 universities with the help of Xie Tao's proven methods.

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.

Choose Your Path to Success

Season

Comprehensive CourseSummer BootcampPre-Test Bootcamp
Spring

Core Maths Thinking

30 hrs

  
Summer

TMUA & MAT (Intensive)

48 hrs

TMUA & MAT (Intensive)

48 hrs

 
October

TMUA & MAT (Pre-Test)

24 hrs

TMUA & MAT (Pre-Test)

24 hrs

TMUA & MAT (Pre-Test)

24 hrs

October

MAT Extension

8 hrs

MAT Extension

8 hrs

MAT Extension

8 hrs

Total102 or 110 hours72 or 80 hours24 or 32 hours
• Core Maths Thinking

Focuses on developing the mathematical thinking skills essential for success in TMUA and MAT.

• MAT Extension
Designed for Oxford MAT, covers MAT-exclusive topics and MAT-style questions not included in the TMUA. An extra 8-hour MAT Extension module is involved in the Intenseive Course and Summer Bootcamp for MAT candiates free of charge.

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

Course Schedules

Expand to learn more

• Same Content

Class 1 and Class 2 cover the same material in each corresponding lecture and practice session.

• Online Lessons via Tencent Meeting

All lessons will be taught online using Tencent Meeting. Meeting IDs and access details will be provided separately.

• Attend Either Class

If you can’t attend your assigned class, you may attend the other class’s session for that same lesson.

• Recordings Available

If you miss a session in both classes, recordings will be available.

Class 1

Date & Time

(UTC+8, Beijing)

Class 2

Date & Time

(UTC+8, Beijing)

Core Maths

Topic

Core Maths
Practice

Feb 8 Sat

09:30-11:30

Feb 9 Sun

13:00-15:00

Lecture 01Practice 01

Feb 11 Tue

09:30-11:30

Feb 12 Wed

13:00-15:00

Lecture 02Practice 02

Feb 15 Sat

09:30-11:30

Feb 16 Sun

13:00-15:00

Lecture 03Practice 03

Feb 22 Sat

09:30-11:30

Feb 23 Sun

13:00-15:00

Lecture 04Practice 04

Mar 01 Sat

09:30-11:30

Mar 02 Sun

13:00-15:00

Lecture 05Practice 05

Mar 08 Sat

09:30-11:30

Mar 09 Sun

13:00-15:00

Lecture 06Practice 06

Mar 15 Sat

09:30-11:30

Mar 16 Sun

13:00-15:00

Lecture 07Practice 07

Mar 22 Sat

09:30-11:30

Mar 23 Sun

13:00-15:00

Lecture 08Practice 08

Mar 29 Sat

09:30-11:30

Mar 30 Sun

13:00-15:00

Lecture 09Practice 09

Apr 12 Sat

09:30-11:30

Apr 13 Sun

13:00-15:00

Lecture 10Practice 10

Apr 19 Sat

09:30-11:30

Apr 20 Sun

13:00-15:00

Lecture 11Practice 11

Apr 26 Sat

09:30-11:30

Apr 27 Sun

13:00-15:00

Lecture 12Practice 12

May 24 Sat

09:30-11:30

May 25 Sun

13:00-15:00

Lecture 13Practice 13

May 31 Sat

09:30-11:30

Jun 01 Sun

13:00-15:00

Lecture 14Practice 14

Jun 07 Sat

09:30-11:30

Jun 08 Sun

13:00-15:00

Lecture 15Practice 15
• In-Person and Online Learning

Lessons will be held in-person at Haoyuan

• Live Online Lectures

All lectures will be streamed live online simultanenously via Tencent Meeting. Meeting IDs and access details will be provided separately.

• Schedule

Please refer to the schedule above for dates and times. Note that all times are listed as T.B.C. (To Be Confirmed) as the specific time slots are still being finalized. We will update you with the confirmed schedule as soon as possible.

• Recordings

Lessons will be recorded for revision purposes and for those unable to attend live sessions (in-person or online).

DateTMUA & MAT

Jun 15

Sunday

3 hours

T.B.C.

Jun 16-20

Mon-Fri

4 hours

T.B.C.

Jun 21

Saturday

3 hours

T.B.C.

Jun 22

Sunday

3 hours

T.B.C.

Jun 23-27

Mon-Fri

4 hours

T.B.C.

Jun 28

Saturday

3 hours

T.B.C.

Jun 29

Sunday

3 hours

T.B.C.

Jun 30-Jul 5

Mon-Fri

4 hours

T.B.C.

Jul 5

Saturday

3 hours

T.B.C.

Jul 6

Sunday

3 hours

T.B.C.

Jul 7 – 11

Mon-Fri

6 hours

T.B.C.

Sep 6/7

Sat/Sun

3 hours

T.B.C.

Sep 13/14

Sat/Sun

3 hours

T.B.C.

Sep 20/21

Sat/Sun

3 hours

T.B.C.

Total48 hours
• TMUA Mock Exams

You can take the TMUA Mock Exams (Paper 1 and Paper 2) online at your preferred time. It is crucial to complete each Mock Exam before attending the corresponding lecture.

• In-Person Lectures

Students choosing the Online/In-Person option may attend the lectures in person at Haoyuan.

• Live Online Lectures

All lectures will be streamed live online simultanenously via Tencent Meeting. Meeting IDs and access details will be provided separately.

• Lecture Recordings Available

All lectures will be recorded and made available for you to review at your convenience.

DateMorning/Afternoon18:30-21:30
(UTC+8, Beijing)

Oct 1st

Wednesday

TMUA Mock Exam 1

Paper 1    Paper 2

Topical Lecture 1 &
Mock Exam 1 Review

Oct 2nd

Thursday

TMUA Mock Exam 2

Paper 1    Paper 2

Topical Lecture 2 &
Mock Exam 2 Review

Oct 3rd

Friday

TMUA Mock Exam 3

Paper 1    Paper 2

Topical Lecture 3 &
Mock Exam 3 Review

Oct 4th

Saturday

TMUA Mock Exam 4

Paper 1    Paper 2

Topical Lecture 4 &
Mock Exam 4 Review

Oct 5th

Sunday

TMUA Mock Exam 5

Paper 1    Paper 2

Topical Lecture 5 &
Mock Exam 5 Review

Oct 6th

Monday

TMUA Mock Exam 6

Paper 1    Paper 2

Topical Lecture 6 &
Mock Exam 6 Review

Oct 7th

Tuesday

TMUA Mock Exam 7

Paper 1    Paper 2

Topical Lecture 7 &
Mock Exam 7 Review

Oct 12th

Sunday

TMUA Mock Exam 8

Paper 1    Paper 2

Topical Lecture 8 &
Mock Exam 8 Review
Total8 TMUA mock exams24 hours
• Oxford MAT candidates only.
• Flexible Online Exams

You can choose when to take the Oxford MAT Mock Exams online. It is crucial to complete each Mock Exam before attending the corresponding Topical Lecture.

• Online Lectures via Tencent Meeting

All lectures will be conducted online via Tencent Meeting. Meeting IDs and access details will be provided separately.

• Access to Lecture Recordings

Recordings of each lecture will be made available for you to review at your convenience.

DateMorning/Afternoon19:00-21:00
(UTC+8, Beijing)

Oct 18th

Saturday

Oxford MAT Mock Exam 1

Topical Lecture 1 &

Mock Exam 1 Review

Oct 19th

Sunday

Oxford MAT Mock Exam 2

Topical Lecture 2 &

Mock Exam 2 Review

Oct 25th

Saturday

Oxford MAT Mock Exam 3

Topical Lecture 3 &

Mock Exam 3 Review

Oct 26th

Sunday

Oxford MAT Mock Exam 4

Topical Lecture 4 &

Mock Exam 4 Review

Total4 Oxford MAT mock exams8 hours

Course Preview

Oxbridge Core Mathematical ThinkingCoursebook (PDF, 1st Edition)

Provides a deep dive into essential mathematical concepts and principles, develops your critical thinking skills, and builds a strong foundation for the TMUA and the Oxford MAT.

Book Covers 2025 Mathematical Thinking

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.

TMUA & MAT Mock Exams (online)

12 full-length mock exams (8 TMUA, 4 Oxford MAT) meticulously recreate the official online testing environment. Build unshakeable confidence and excel on test day.

Enrol Now

Your Oxbridge Dream Is Within Reach & Gain a Competitive Edge!
• All Online

All TMUA & MAT Live Classes are exclusively offered online.

• Online/In-Person

During the in-person class sessions, you have the flexibility to join online or attend in person. At all other times, learning takes place online. Please note that accommodation, meals, and travel expenses for attending the in-person sessions are not included in the course fee.

TMUA & MAT

Comprehensive Course

TMUA & MAT

Summer Bootcamp

TMUA & MAT

Pre-Test Bootcamp

Free Diagnostic Exams

Free TMUA

Diagnostic Exams

Free Oxford MAT

Diagnostic Exams

Frequently Asked Questions

These live courses are designed to help you prepare for the TMUA (Test of Mathematics for University Admission) and the Oxford MAT (Mathematics Admissions Test). These tests are essential for admission to Mathematics, Computer Science, or Economics-related courses at top universities, including Oxford, Cambridge, Imperial College, LSE, and UCL.

We offer three course options to suit your needs and schedule:

  • Comprehensive Course: With up to 110 hours of comprehensive instruction from spring until the exam, is designed to give you the best possible preparation and help you achieve top scores. See for details.
  • Summer Bootcamp: Includes a two-week summer intensive to build a solid foundation, followed by sessions from September until the exam to rapidly enhance your problem-solving and test-taking skills. See for details.
  • Pre-Test Bootcamp: Our intensive 8-day pre-test bootcamp will help you identify your weak spots, sharpen your problem-solving skills, and master essential exam strategies through mock tests, in-depth analysis, and focused review sessions. See for details.

The live classes will include a mix of lectures, problem-solving sessions, and Q&A sessions.

We keep our classes with a minimum of 4 students. If a class doesn’t meet this minimum, we’ll happily place you in another suitable class or offer a full refund.

We use Tencent Meeting or VooV Meeting for our live classes. You’ll receive instructions on how to access the platform before the course starts.

Absolutely! All classes are recorded and accessible until the end of the school term, so you can catch up or review the material at your own pace.

Yes, the deadline for enrollment is 3 days before the course start date. This allows us to ensure we have everything prepared for a smooth learning experience.

We understand that circumstances may change. Here’s our refund policy:

  • Cancellation 7+ days before the course start date: Full refund.
  • Cancellation within 7 days of the course start date: Partial refund, minus an 12% administration fee.
  • Cancellation after the course start date: No refunds, but we’ll do our best to help you catch up.

Ready to enroll? Simply select your preferred course on our website and follow the registration instructions. You’ll be invited to your learning group. For any questions before enrolling, feel free to contact us.

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.

TMUA & MAT Live Classes

Expert-Led Prep for Oxbridge Succes

Aspiring to pursue Maths, Computer Science, or an Economics related course at a top university, particularly Oxford, Cambridge, Imperial, LSE or UCL? The TMUA and the Oxford MAT are your gateways and UEIE’s TMUA & MAT Live Classes will offer the expert guidance and comprehensive preparation you need to excel in these challenging exams.

Picture of XIE TAO

XIE TAO

Independent Teacher

An independent teacher, Master of Engineering, Oxbridge tutor, with more than 17 years’ teaching experiences on high school Maths and Physics and competitions. Helped more than 100 students engaged in Ivy League, Oxbridge and G5 universities, along with hundreds of students awarded with top awards from international Maths and Physics competitions by far.

UEIE’s experienced Oxbridge admissions test-prep tutors will empower you with the advanced knowledge, problem-solving skills, mental maths skills, and critical thinking skills necessary to tackle these tests head-on. Whether you’re aiming for the TMUA or the Oxford MAT, we have the perfect course to fit your needs and schedule.

Why choose UEIE's TMUA & MAT Live Classes?

Oxbridge Admissions Test-Prep Expertise

Learn directly from tutors who've excelled at these very exams and understand the Oxbridge admissions process.

Personalized Instruction

Receive individual guidance to pinpoint your strengths and weaknesses.

Flexible Learning

Catch every session with class recordings, available until test day to review or catch up at your own pace.

Proven Success

Our students consistently achieve top scores and gain admission to their dream universities.

Course Benefits

Decipher the Exams

Understand the unique question styles and time pressures of the TMUA & MAT.

Build a Rock-Solid Foundation

Master core concepts and knowledge of mathematics.

Develop Winning Strategies

Learn powerful problem-solving skills and mental maths skills tailored to these exams.

Practice, Practice, Practice

Hone your skills with countless practice questions, mock exams and past papers.

Boost Your Confidence

Approach the exams with the calmness and focus needed for success.

Who Will Benefit Most

Students aspiring to study mathematics, computer science, economics,

or related courses at Oxford, Cambridge, Imperial College, LSE, UCL, etc.

Anyone determined to excel in the TMUA and MAT exams.

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

Choose Your Path to Success

Course Modules

SeasonIntensive CourseSummer BootcampPre-Test Bootcamp
SpringCore Maths Thinking
Summer

TMUA & MAT (Intensive)

TMUA & MAT (Intensive)

Autumn

TMUA & MAT (Pre-Test)

MAT Extension

TMUA & MAT (Pre-Test)

MAT Extension

TMUA & MAT (Pre-Test)

MAT Extension

Course Schedule Overview

ModuleIntensive CourseSummer BootcampPre-Test Bootcamp
Core Maths Thinking30 hours
TMUA & MAT72 hours72 hours24 hours
MAT Extension8 hours8 hours8 hours
Total102 or 110 hours72 or 80 hours24 or 32 hours

• Core Maths Thinking:

Focuses on developing the mathematical thinking skills essential for success in TMUA and MAT.

• MAT Extension:

Designed for MAT, covers MAT-exclusive topics and MAT-style questions not included in the TMUA. An extra 8-hour MAT Extension module is involved in the Intenseive Course and Summer Bootcamp for MAT candiates free of charge.

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

Your Oxbridge dream is within reach.

Enroll today and let's make it a reality!

• All Online:

All TMUA & MAT Live Classes are exclusively offered online, and you can interact with the tutor.

• Online/In-Person:

During the in-person class sessions, you have the flexibility to join online or attend in person. At all other times, learning takes place online. Please note that accommodation, meals, and travel expenses for attending the in-person sessions are not included in the course fee. See the course details for more information.

TMUA & MAT
Intensive Course

TMUA & MAT
Summer Bootcamp

TMUA & MAT
Pre-Test Bootcamp

Course Materials

Empower your Oxbridge journey with UEIE’s TMUA & MAT Live Classes comprehensive learning resources.

Oxbridge Core Mathematical Thinking Coursebook (PDF, 1st Edition)

Provides a deep dive into essential mathematical concepts and principles, develops your critical thinking skills, and builds a strong foundation for the TMUA and MAT.

Book Covers 2025 Mathematical Thinking

TMUA & MAT 2025 Coursebook (PDF, 8th Edition)

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

Book Covers 2025 TMUA MAT Coursebook

TMUA & MAT Practice Qustions (online)

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

TMUA & MAT Mock Exams (online)

12 full-length mock exams (8 TMUA, 4 MAT) meticulously recreate the official online testing environment. Build unshakeable confidence and excel on test day.

TMUA Categorised Questions (PDF, 2025 Edition)

TMUA categorised questions by topic (2016-2023).

Book Covers 2025 TMUA Categorised Questions

Oxford MAT Categorised Questions (PDF, 2025 Edition)

Oxford MAT categorised questions by topic (2001-2023).

Book Covers 2025 Oxford MAT Categorised Questions

Frequently Asked Questions

These live courses are designed to help you prepare for the TMUA (Test of Mathematics for University Admission) and the Oxford MAT (Mathematics Admissions Test). These tests are essential for admission to Mathematics, Computer Science, or Economics-related courses at top universities, including Oxford, Cambridge, Imperial College, LSE, and UCL.

We offer three course options to suit your needs and schedule:

  • Intensive Course: With up to 110 hours of comprehensive instruction from spring until the exam, is designed to give you the best possible preparation and help you achieve top scores. See link to Intensive Course page for details.
  • Summer Bootcamp: Includes a two-week summer intensive to build a solid foundation, followed by sessions from September until the exam to rapidly enhance your problem-solving and test-taking skills. See link to Summer Bootcamp page for details.
  • Pre-Test Bootcamp: Our intensive 8-day pre-test bootcamp will help you identify your weak spots, sharpen your problem-solving skills, and master essential exam strategies through mock tests, in-depth analysis, and focused review sessions. See link to Pre-Test Bootcamp page for details.

The live classes will include a mix of lectures, problem-solving sessions, and Q&A sessions.

Absolutely! All classes are recorded and accessible until the test day, so you can catch up or review the material at your own pace.

We keep our classes with a minimum of 4 students. If a class doesn’t meet this minimum, we’ll happily place you in another suitable class or offer a full refund.

We use Tencent Meeting or VooV Meeting for our live classes. You’ll receive instructions on how to access the platform before the course starts.

Yes, the deadline for enrollment is 3 days before the course start date. This allows us to ensure we have everything prepared for a smooth learning experience.

We understand that circumstances may change. Here’s our refund policy:

  • Cancellation 7+ days before the course start date: Full refund.
  • Cancellation within 7 days of the course start date: Partial refund, minus an 12% administration fee.
  • Cancellation after the course start date: No refunds, but we’ll do our best to help you catch up.

Ready to enroll? Simply select your preferred course on our website and follow the registration instructions. You’ll be invited to your learning group. For any questions before enrolling, feel free to contact us.

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

Contact Us

Scan with

Wechat

Scan with

WhatsApp

Email

info@ueie.com

Phone

(+86) 136-9109-5140

Maths Module 1: Competition Maths Mastery

• Build a rock-solid foundation in essential mathematical concepts and skills.
• Develop creative problem-solving strategies to tackle even the trickiest questions.
• Gain the confidence and skills to excel in mathematical challenges.

Maths Module 2: Advanced Techniques for Competition Success

• Go beyond the fundamentals and delve into sophisticated problem-solving skills.
• Tackle challenging competition-level questions with confidence and precision.
• Develop advanced mathematical intuition and critical thinking ability.

Maths Module 3: Ace Advanced Maths Competitions

• Refine your problem-solving skills and strategies for top-tier competitions.
• Develop advanced mathematical thinking and intuition.
• Gain the confidence and expertise to tackle the most challenging problems.

Physics Module 1: Conquer the World of Mechanics

• Master the fundamental principles of mechanics, from motion to energy.
• Build problem-solving skills and apply mechanics concepts to real-world scenarios.
• Gain confidence in your ability to analyze and solve physics questions.

Physics Module 2: Unravel the Mysteries of Waves and Fields

• Dive into the fascinating world of waves and fields, and see how physics shapes our reality.
• Explore the behavior of waves, including sound, light, and electromagnetic waves.
• Understand the concept of fields, such as gravitational and electric fields.
• Apply physics principles to analyze real-world phenomena like communication technologies and medical imaging.

Physics Module 3: Ace Advanced Physics Competitions

• Prepare for top-tier physics competitions and achieve outstanding results.
• Refine your skills, gain confidence, and tackle the most challenging questions.
• Develop advanced mathematical thinking and intuition to excel in physics.

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