ESAT & PAT On-Demand Prep Suite

Xie Tao’s Proven System for ESAT & PAT Success: Videos, Practice, & Mocks

The ESAT & PAT On-Demand Prep Suite offers a strategically designed, integrated approach to exam success. Developed by Xie Tao, this comprehensive resource combines the power of video lectures, extensive practice questions, and realistic mock exams to build your knowledge, skills, and confidence systematically.

Why Choose UEIE's ESAT & PAT On-Demand Prep Suite?

Comprehensive Video Lectures

Master all required ESAT and Oxford PAT topics with in-depth video lessons by Xie Tao, covering ESAT Maths 1, Maths 2, Physics, and PAT.

1600+ Practice Question Bank

Hone your skills with a massive bank of over 1600 practice questions, categorised by topic and difficulty level, all with detailed, step-by-step solutions.

Realistic Mock Exams

Experience the real test environment with full-length mock exams for ESAT (Maths 1, Maths 2, Physics) and the Oxford PAT, mirroring the actual exam format and difficulty.

Expert Instruction & Proven Strategies

Benefit from Xie Tao's years of experience and proven strategies for success on Oxbridge admissions tests, maximising your learning efficiency.

Detailed Solutions & Explanations

Understand the reasoning behind every correct answer with comprehensive, step-by-step solutions for all practice questions and mock exam problems.

Targeted Practice & Graded Difficulty

Focus on your weak areas and build confidence with practice questions and mock exams ranging from "Confidence-Building" to "Challenging" and "Realistic."

On-Demand & Flexible Learning

Access all materials anytime, anywhere, on any device, and study at your own pace to fit your schedule.

Original Questions & Updated Content

Practice with unique questions (not past papers) and benefit from content that is regularly updated to reflect the latest ESAT and PAT exam formats.

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.

Enrol Now

Secure Your Success in ESAT & Oxford PAT!

* Every combination includes a set of video lectures, matching practice questions, and full-length mock exams to help you reinforce your learning.

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

Video Lectures Modules

Tailor your ESAT or Oxford PAT learning with our six distinct modules of ESAT & PAT Video Lectures, each focusing on essential topics.

ESAT Maths 1

Video Lectures

ESAT Maths 2

Video Lectures

ESAT Physics

Video Lectures

Oxford PAT Maths

Video Lectures

Oxford PAT Physics

Video Lectures

ESAT & PAT

Video Lectures

Practice Questions Modules

Reinforce your learning with six corresponding modules of ESAT & PAT Practice Questions, providing targeted practice and detailed solutions.

ESAT Maths 1

Practice Questions

ESAT Maths 2

Practice Questions

ESAT Physics

Practice Questions

Oxford PAT Maths

Practice Questions

Oxford PAT Physics

Practice Questions

ESAT & PAT

Practice Questions

Course Preview

Frequently Asked Questions

The ESAT (Engineering & Science Admissions Test) is a computer-based test used by the University of Cambridge and Imperial College London to assess applicants for engineering and science courses. It covers mathematics, physics, chemistry and biology. Learn more in our ESAT Essential Guide: The Key Concepts.

The Oxford PAT (Physics Aptitude Test) is also a computer-based test, since 2023, used by the University of Oxford to assess applicants for physics and related courses. It focuses on physics problem-solving and understanding. Learn more in our Oxford PAT Essential Guide: The Key Concepts.

You’ll get:

  • Engaging video lectures (ESAT & PAT 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 (ESAT & PAT 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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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