ESAT & PAT Comprehensive Course

Develop Your Engineering & Science Aptitude

UEIE's Comprehensive Course provides a comprehensive foundation for ESAT & PAT success. Expert tutors guide you through key engineering concepts, physics principles, and effective problem-solving techniques to maximize your potential.

Content:

Comprehensive Course

Online/In-Person

Year 12/13

Mandarin

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.

Gong Jin

Independent Teacher

With a BSc in Biological Sciences and an MSc in Biochemistry and Molecular Biology, Ms. Gong Jin has 11 years’ experience teaching high school Biology for international curricula and coaching for Biology competitions. She excels at fostering a love of science in her students.

Aiming to master the ESAT & Oxford PAT and spot your place at Oxford, Cambridge or Imperial College?

Why Choose UEIE's ESAT & PAT Comprehensive Course?

Our Most Comprehensive ESAT & Oxford PAT Course

Immerse yourself in 114 hours of in-depth instruction, covering every aspect of the ESAT and Oxford PAT exams.

Master Core Mathematical Skills

Build a powerful mathematical foundation and scientific reasoning abilities with our unique Core Math Thinking module, designed to give you a decisive edge.

Choose Your Focus

Tailor your preparation by selecting two optional modules from Maths 2, Physics, Chemistry, and Biology, in addition to the compulsory Maths 1.

Abundant Practice Material and Mock Exams

Hone your skills with over 2200 practice questions and full-length, online format ESAT and Oxford PAT mock exams with detialed solutions.

Flexible Learning Methods

Choose from Online/In-Person or All Online formats, plus access to session recordings for review and reinforcement at your own pace.

Expert Instruction from Xie Tao and Team

Benefit from the unparalleled experience and insights of Xie Tao and his team of expert science tutors.

Includes Free PAT Extension

Gain a crucial advantage for Oxford applications with our specialised PAT Extension module.

Proven Track Record of Success

Benefit from the same expertise that has helped 100+ students gain admission to Oxbridge, Ivy League, and G5 universities.

Who Will Benefit Most

Students applying to Oxford, Cambridge, or Imperial for engineering, materials science, physics, or related scientific courses.

Students aiming for high scores on the ESAT and the Oxford PAT to strengthen their university applications.

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

Your Path to Success

Course Schedule of 2025

* Please note: schedule may subject to change due to holidays and official exams arrangements.
Month
Module
Online
In-Person
Duration

Feb-Jun

Weekend

Core Maths Thinking

30 hours

Jul-Aug
Holidays

Maths 1
(Intensive)
Option 1
(Intensive)
Option 2
(Intensive)

8 hours
16 hours
16 hours

Sep. Weekends

Option 1
(Intensive)
Option 2
(Intensive)

6 hours
6 hours

Oct Holidays

Maths 1 (Pre-Test)
Option 1 (PreTest)
Option 2 (PreTest)
PAT Extension

8 hours
12 hours
12 hours
8 hours

Total

114 or 122
hours

• Online

All lectures are offered online, you can interact with the tutor.

• In-Person

You can take in-person sessions (if available) if you choose the online/in-person ESAT & PAT Comprehensive Course. Please contact us for more information about the in-person sessions.

• Core MathsThinking

Focuses on developing the mathematical thinking skills essential for success in ESAT & PAT.

• Maths 1

Covers the compulsory Maths 1 module of the ESAT and part of Oxford PAT maths.

• Option 1 and Option 2

Choose any two optional modules from Maths 2, Biology, Chemistry, or Physics.

• PAT/Engineering Candidates

Option 1 and Option 2 are pre-assigned as Maths 2 and Physics, which covers most conents of Oxford PAT.

• PAT Extension

Designed for the Oxford PAT, covers PAT-exclusive topics and PAT-style questions not included in the ESAT. An extra 8-hour PAT Extension module with 4 Oxford PAT mock exams are included for PAT candiates free of charge.

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).

DateMaths 1Maths 2PhysicsChemistryBiology

Jun 15

Sunday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jun 16-20

Mon-Fri

4 hours

T.B.C.

    

Jun 21

Saturday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jun 22

Sunday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jun 23-27

Mon-Fri

4 hours

T.B.C.

    

Jun 28

Saturday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jun 29

Sunday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jun 30-Jul 4

Mon-Fri

4 hours

T.B.C.

    

Jul 5

Saturday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Jul 6

Sunday

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Sep 6/7

Sat/Sun

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Sep 13/14

Sat/Sun

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Sep 20/21

Sat/Sun

 

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

2 hours

T.B.C.

Total

12 hours

20 hours20 hours20 hours20 hours
• ESAT Mock Exams

You can take the ESAT Mock Exams (Maths 1 and TWO optional components) 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.

• All candidates

Pre-assigned Maths 1 module.

• PAT/Engineering candidates

Pre-assigned as Maths 2 and Physics.

• Other candidates

Choose ANY TWO optional modules from Maths 2, Biology, Chemistry, or Physics.

DateMorning/Afternoon

Chemistry: 08:00-09:30

Biology: 10:00-11:30

Maths 1: 13:00-14:00

Maths 2: 14:00-15:30

Physics: 16:00-17:30

(UTC+8, Beijing)

Oct 1st

Wednesday

Maths 1 Mock Exam 1

Maths 2 Mock Exam 1

Physics Mock Exam 1

Chemistry Mock Exam 1

Biology Mock Exam 1

Topical Lecture 1 &

Mock Exam 1 Review

Oct 2nd

Thursday

Maths 1 Mock Exam 2

Maths 2 Mock Exam 2

Physics Mock Exam 2

Chemistry Mock Exam 2

Biology Mock Exam 2

Topical Lecture 2 &
Mock Exam 2 Review

Oct 3rd

Friday

Maths 1 Mock Exam 3

Maths 2 Mock Exam 3

Physics Mock Exam 3

Chemistry Mock Exam 3

Biology Mock Exam 3

Topical Lecture 3 &
Mock Exam 3 Review

Oct 4th

Saturday

Maths 1 Mock Exam 4

Maths 2 Mock Exam 4

Physics Mock Exam 4

Chemistry Mock Exam 4

Biology Mock Exam 4

Topical Lecture 4 &
Mock Exam 4 Review

Oct 5th

Sunday

Maths 1 Mock Exam 5

Maths 2 Mock Exam 5

Physics Mock Exam 5

Chemistry Mock Exam 5

Biology Mock Exam 5

Topical Lecture 5 &
Mock Exam 5 Review

Oct 6th

Monday

Maths 1 Mock Exam 6

Maths 2 Mock Exam 6

Physics Mock Exam 6

Chemistry Mock Exam 6

Biology Mock Exam 6

Topical Lecture 6 &
Mock Exam 6 Review

Oct 7th

Tuesday

Maths 1 Mock Exam 7

Maths 2 Mock Exam 7

Physics Mock Exam 7

Chemistry Mock Exam 7

Biology Mock Exam 7

Topical Lecture 7 &
Mock Exam 7 Review

Oct 12th

Sunday

Maths 1 Mock Exam 8

Maths 2 Mock Exam 8

Physics Mock Exam 8

Chemistry Mock Exam 8

Biology Mock Exam 8

Topical Lecture 8 &
Mock Exam 8 Review
Total8 ESAT mock exams32 hours
• Oxford PAT candidates only.
• Flexible Online Exams

You can choose when to take the Oxford PAT 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/Afternoon16:00-18:00
(UTC+8, Beijing)

Oct 18th

Saturday

Oxford PAT Mock Exam 1

Topical Lecture 1 &

Mock Exam 1 Review

Oct 19th

Sunday

Oxford PAT Mock Exam 2

Topical Lecture 2 &

Mock Exam 2 Review

Oct 25th

Saturday

Oxford PAT Mock Exam 3

Topical Lecture 3 &

Mock Exam 3 Review

Oct 26th

Sunday

Oxford PAT Mock Exam 4

Topical Lecture 4 &

Mock Exam 4 Review

Total4 Oxford PAT 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

Xie Tao ESAT & PAT 2025 Coursebooks (PDF)

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

Purchase any PAT bundle and get the Oxford PAT Categorised Questions (2025 Edition) PDFs FREE!

* The ESAT exam was introduced in 2024. As a new assessment, categorised past questions are not yet available.

ESAT & PAT Practice Questions (Online)

Boost your exam performance with 2200+ online practice questions and detailed solutions covering all the essential topics.

ESAT & PAT Mock Exams (online)

8 sets of full-length ESAT mock exams (including Maths 1, Maths 2, Biology, Chemistry and Physics components) and 4 Oxford PAT full-length mock exams meticulously recreate the official online testing environment. Build unshakeable confidence and excel on test day.

Enrol Now

Integrate Your Knowledge. Gain a Competitive Edge!

ESAT & PAT Comprehensive Course

Original price was: US$12 252.67.Current price is: US$7 340.69.Add to cart

Original price was: US$10 888.23.Current price is: US$6 794.91.Add to cart

• All Online

All ESAT & PAT Comprehensive Course 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.

Contact Us

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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.

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