ESAT 및 PAT 연습 문제

문제 풀이를 통한 고득점
ESAT 및 PAT 연습 문제

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.

ESAT와 옥스포드 PAT 시험을 위한 효과적인 연습 문제를 찾고 계신가요? 謝濤 선생님이 직접 제작한 연습 문제집은 다양한 유형의 1600개 이상의 문제와 상세한 해설을 제공하여 부족한 부분을 보완하고, 지식을 巩固하며, 시험에 적응할 수 있도록 도와 드립니다.

유이의  ESAT 및 PAT 연습 문제을 선택해야 하는 이유는 무엇인가요?

방대한 문제 은행

1600개 이상의 문제를 통해 ESAT 수학 1, 수학 2, 물리, PAT 수학, PAT 물리의 모든 내용을 학습할 수 있습니다.

명师 제작

옥스브리지 입시 전문가인 謝濤 선생님이 직접 제작하여 신뢰할 수 있습니다.

상세한 해설

모든 문제에 대한 상세한 해설을 제공하여 문제 해결 과정을 명확하게 이해할 수 있습니다.

체계적인 분류

주제별로 문제를 분류하여 효율적으로 학습할 수 있습니다.

단계별 학습

기본 문제부터 고난도 문제까지 다양한 난이도의 문제를 통해 점진적으로 실력을 향상시킬 수 있습니다.

동영상 강좌와의 연계 학습

ESAT+PAT 동영상 강좌와 함께 활용하면 더욱 효과적인 학습이 가능합니다.

누가 가장 큰 혜택을 받을까요?

옥스퍼드, 캠브리지 또는 임페리얼에서 공학, 재료 과학, 과학 또는 관련 전공을 공부하고자 하는 학생.

ESAT 및 옥스퍼드 PAT 시험에서 우수한 성적을 얻고자 하는 학생.

이러한 매우 어려운 시험을 체계적이고 효율적인 방식으로 준비하고자 하는 학생.

Your ESAT or Oxford PAT Success Journey Starts Here

UEIE’s ESAT 및 PAT 연습 문제 features 6 premium course bundles, engineered for students with varying academic profiles.

Design your optimal ESAT and Oxford PAT success blueprint today!

 ESAT & PAT Course Overview

 

Course Bundle

ESAT

Maths 1

ESAT

Maths 2

ESAT

Physics

PAT MathsPAT Physics

ESAT & PAT

Maths & Physics

Topics101015202043

Practice Sets

202030404086
Practice Questions60060080012009002200
Est. L.H.30 hrs40 hrs50 hrs70 hrs60 hrs140 hrs
PriceUS$272.35 US$272.35 US$409.89 US$506.18 US$506.18US$1 097.63

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

Curious why we've combined ESAT and PAT prep into one course?

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

ESAT vs. PAT: Uncover the Similarities and Differences

지금 등록하세요

꾸준한 연습을 통해 시험에서 승리하세요!

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

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.

자주 묻는 질문

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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Phone

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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