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.
Don’t just learn the concepts; master them. Our ESAT & PAT Practice Questions, developed by expert Oxbridge tutor Xie Tao, provide the targeted practice you need to succeed. With over 1600 problems and comprehensive solutions, this resource will help you identify your strengths and weaknesses and achieve your target score.
Over 1600 practice questions covering ESAT Maths 1, ESAT Maths 2, ESAT Physics, PAT Maths, and PAT Physics.
Benefit from the expertise of a Professional Oxbridge tutor.
Gain a thorough understanding of problem-solving approaches with step-by-step solutions.
Easily target and practice specific topics to improve your understanding.
Find questions that suit your current skill level, ranging from beginner to expert.
Reinforce your learning and maximise your scores when used alongside ESAT & PAT Video Lectures.
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.
UEIE’s ESAT & PAT Practice Questions curriculum is structured around 6 unique course bundles to fit your individual needs.
Choose the best combination for your ESAT or Oxford PAT success.
| Course Bundle | ESAT Maths 1 | ESAT Maths 2 | ESAT Physics | PAT Maths | PAT Physics | ESAT & PAT Maths & Physics |
|---|---|---|---|---|---|---|
| No. of Topics | 10 | 10 | 15 | 20 | 20 | 43 |
Sets of Practice | 30 | 30 | 45 | 60 | 60 | 126 |
| No. of Qs | 600 | 600 | 800 | 1200 | 900 | 2200 |
| Est. L.H. | 30 hrs | 40 hrs | 50 hrs | 70 hrs | 60 hrs | 140 hrs |
ESAT vs. PAT: Uncover the Similarities and Differences
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.
Boost your exam performance with 2200+ online practice questions and detailed solutions covering all the essential topics.
* Enjoy access to the course materials until your test day, allowing you to learn at your own pace.
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
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:
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.
Dreaming of studying Engineering or Sciences related courses at a top university? The ESAT or the Oxford PAT is your key. These challenging exams set you apart.
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.
Led by renowned ESAT and Oxford PAT expert Xie Tao, these practice questions empower you to master maths and physics concepts, and strategies comprehensively. Gain the knowledge and confidence to tackle the ESAT and Oxford PAT exams, and achieve top scores.
Learn directly from Xie Tao, a dedicated and experienced mentor, who makes these complex exams accessible and understands the Oxbridge admissions process.
Cover all ESAT and Oxford PAT maths and physics topics, from logical reasoning, algebra, calculus, to statistcs, from forces, waves, electricity, to nuclear physics, ensuring complete syllabus understanding.
Learn anytime, anywhere. Our ESAT & PAT Practice Questions are available till the exam day, giving you complete flexibility to learn by yourself at your own pace.
Master ESAT and Oxford PAT core concepts, gain a deep understanding of mathematics and physics knowledge, and build the skills you need to excel in these exams.
Equip yourself with proven strategies for time management and problem-solving, and reinforce your learning with 1600+ questions, including detailed solutions.
Our students consistently achieve top scores and gain admission to their dream universities.
Ambitious students aiming for top universities, who want to gain a significant advantage in the competitive admissions process.
Students preparing for the ESAT or Oxford PAT exams.
Students aspiring to study engineering, or sciences related courses at Oxford, Cambridge, Imperial College, etc.
Individuals seeking a structured and effective way to prepare for these challenging assessments.
UEIE’s ESAT & PAT Practice Questions provide 6 unique course bundles to fit your individual needs.
Choose the best combination for your ESAT or PAT success.
| Course Bundle | Maths 1 | Maths 2 | Physics |
|---|---|---|---|
| No. of Practice Questions | 600 | 600 | 800 |
| Suggested Learning Hours | 30 | 40 | 50 |
| Course Bundle | PAT Maths | PAT Physics | ESAT & PAT Maths & Physics |
|---|---|---|---|
| No. of Practice Questions | 1200 | 900 | 2200 |
| Suggested Learning Hours | 70 | 60 | 140 |
* Enjoy access to the course materials until your test day, allowing you to learn at your own pace.
Reinforce your learning with six corresponding modules of ESAT & PAT Practice Questions, providing targeted practice and detailed solutions.
Empower your Oxbridge journey with UEIE’s ESAT & PAT Practice Questions comprehensive learning resources.
Revised annually, these coursebooks align closely with the latest ESAT and Oxford PAT specification
and feature hundreds of exam-style practice questions designed to help you achieve top scores.
Boost your exam performance with 2200+ online practice questions and detailed solutions covering all the essential topics.
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, categorized past questions are not yet available.
This comprehensive ESAT & PAT Practice Questions consists of 6 modules, covering all maths and physics topics for the ESAT and the Oxford PAT.
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.
These lectures are designed for ambitious students who:
The lectures cover all the essential topics for ESAT and Oxford PAT exams, including:
This test-pre course series consist of two products, ESAT & PAT Video Lectures and its affiliate product, ESAT & PAT Practice Questions.
The video lectures offer:
The practice questions offer all the same benefits except for the video lectures.
You’ll get:
Our ESAT & PAT 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.
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.
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.
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.
Average, range, distribution
Permutations, combinations, probability
Algebraic manipulation, equations, and inequalities
Graphs of functions
Number sequences and patterns
Plane geometry and solid figures
Understanding and applying ratios
Polynomial functions and equations
Sketching graphs of various functions
Trigonometric functions and identities
Exponential and logarithmic functions
Advanced equation-solving techniques
Expanding binomial expressions
Arithmetic and geometric series
Differentiation and integration
Using coordinates in geometric problems
Algebraic manipulation, equations, inequalities
Trigonometric functions and identities
Sequences, series and patterns
Polynomial functions and equations
Basic differentiation and integration techniques
Plane geometry, coordinate geometry, solid figures
Kinematics, forces, energy, momentum
Wave properties, wave phenomena
Electric circuits, magnetic fields
Reflection, refraction, lenses
Basic concepts of nuclear physics
Moon phases, eclipses, solar system
This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.
Statistics, algebra, trigonometry, functions, calculus, geometry
Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics
Problem-solving strategies, number sense, sets & functions
Descriptive stats, probability, statistical reasoning
Manipulation, polynomials, sequences & series
Ratios and proportions, algebraic manipulations, equations, inequalities, polynomials
Differentiation, integration
Graphs of functions, curve sketching, trigonometric functions
Plane geometry, coordinate geometry, Solid figures
Counting and probabilities, statistics
Manipulation, equations, inequalities
Graphs of functions
Plane geometry, solid figures
Counting, sequences, ratios & proportions
Differentiation, integration
Curve sketching, trigonometry, exponentials & logarithms
Polynomials, equations, binomial expansions, series
Coordinate geometry
Kinematics, statics, dynamics, work, energy, momentum
Waves, ray optics
Circuits, electrical elements, magnetism, electromagnetic induction
Atomic structure, chemical bonding, formulae and equations, separation techniques, quantitative chemistry, oxidation/reduction, electrolysis
Metals, acids/bases/salts, chemical tests, air and water
Energetics, kinetic/particle theory, rates of reaction, equilibrium
Organic chemistry, environmental
Proteins/enzymes, DNA, cell structure, gene mutation, membrane transport, cell division, gene technologies
Inheritance, variation and natural selection
Digestive, respiratory, circulatory, nervous, endocrine, urinary, reproductive, immune system, homeostasis
Communicable and non-communicable diseases
Respiration and photosynthesis, plant transport, transpiration
Ecosystem, material cycling, biodiversity
Gravitation, moon phases, solar system
This module establishes the core mathematical principles assessed in STEP.
Equations, Inequalities, and Polynomials
Functions, graphs, curve sketching, and trigonometric identities
Dive deeper into pure mathematics with topics crucial for STEP 2.
Gain a solid understanding of mechanics and statistics concepts.
Static equilibrium, kinematics, dynamics, energy and momentum
Probability, distributions, games and strategies
Tackle advanced pure math topics to excel in STEP 3.
Master challenging concepts in mechanics and statistics.
Impact, circular motion, and simple harmonic motion
Further random variables
Averages, ranges, distributions
Permutations, combinations, and probability calculations
Algebraic manipulation, equations, inequalities, and polynomials
Trigonometric functions and identities
Graphing techniques and curve sketching
Differentiation, integration, and their applications
Plane geometry, coordinate geometry, and geometric proofs
Properties of 3D shapes, surface area, and volume
Direct and inverse proportion, scale factors
Logical statements, reasoning, and proofs
Divisibility, prime numbers, and modular arithmetic
Mathematical arguments, and formal logic
Elementary algorithm design and analysis
Kinematics, static equilibrium, dynamics, work and energy, momentum
Properties of matter
Heat, temperature, and thermodynamics
Wave properties, wave phenomena (including optics)
Electric circuits, magnetic fields, electromagnetism
Basic concepts of nuclear physics
This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.
Statistics, algebra, trigonometry, functions, calculus, geometry
Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics
