This post is also available in: English 简体 한국어

ESAT & PAT Practice Questions

Hone Your Skills for Exam Success

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.

Play Video about ESAT & PAT Practice Questions - Poster
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.

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.

Why choose UEIE's ESAT & PAT Practice Questions?

Oxbridge Admissions Test-Prep Expertise

Learn directly from Xie Tao, a dedicated and experienced mentor, who makes these complex exams accessible and understands the Oxbridge admissions process.

Comprehensive and Targeted

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.

Flexible Learning

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.

Build a Rock-Solid Foundation

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.

Maximise Your Score through Practice

Equip yourself with proven strategies for time management and problem-solving, and reinforce your learning with 1600+ questions, including detailed solutions.

Proven Success

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

Who Will Benefit Most

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.

Your ESAT or Oxford PAT Success Journey Starts Here

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 Overview

ESAT

 

Course BundleMaths 1Maths 2Physics
No. of Video Lectures101015
Duration (hours)81015
No. of Practice Questions600600800
Suggested Learning Hours304050

PAT

Course BundlePAT MathsPAT PhysicsESAT & PAT
Maths & Physics
No. of Video Lectures202043
Duration (hours)181838
No. of Practice Questions12009002200
Suggested Learning Hours7060140

Enroll Today!

Start Your Journey to ESAT or Oxford PAT Success!

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

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

PAT Maths Practice Questions

PAT Physics Practice Questions

ESAT & PAT Practice Questions

Course Materials

Empower your Oxbridge journey with UEIE’s ESAT & PAT Practice Questions comprehensive learning resources.

Xie Tao ESAT & PAT 2025 Coursebooks (PDF)

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.

ESAT & PAT Practice Questions (Online)

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

Categorised Questions (Bonus)

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

Book Covers 2025 Oxford PAT Categorised Questions

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

Module Topics Overview

This comprehensive ESAT & PAT Practice Questions consists of 6 modules, covering all maths and physics topics for the ESAT and the Oxford PAT.

Frequently Asked Questions

ESAT(工程與科學入學考試)是劍橋大學和倫敦帝國學院用來評估工程和科學課程申請者的一項基於電腦的考試。它涵蓋數學、物理和化學和生物學科的知識。如需進一步了解ESAT考試,請參閱ESAT考試全面解讀 — 快速了解考試關鍵信息。

牛津PAT(物理能力測試)自2023年起也改為基於電腦的考試,牛津大學用它來評估物理和相關課程的申請者。它側重於物理問題解決和理解。如需進一步了解PAT考試,請參閱牛津PAT全面解讀 — 快速了解考試關鍵信息。

這些課程專為有以下期望的學生而設計:

  • 參加ESAT和牛津PAT考試、並在考試中取得高分。
  • 在大學申請中獲得顯著優勢的學生。
  • 向牛劍備試專家謝濤老師學習的學生。

課程涵蓋ESAT和牛津PAT考試的所有重要主題,包括:

  • ESAT數學1:統計學、計數與機率、代數、函數與圖像、數列、幾何、比率和比例
  • ESAT數學2:多項式、绘制图像、三角學、指數和對數、方程式、二項式展開、級數、微積分、坐標幾何
  • ESAT物理:力學、物質、熱物理學、波、電和磁、核物理
  • PAT數學:代數、三角學、數列、多項式、微分、幾何
  • PAT物理:力學、波、電和磁、光學、核物理、天體物理學
  • ESAT和PAT:涵蓋ESAT和PAT中數學和物理的全部主題

該備試課程系列包括《ESAT+PAT影片課程》及其附屬產品,《ESAT+PAT練習題集》。

其中,影片課程的優勢有:

  • 由ESAT和牛津PAT名師謝濤編寫和講授。
  • 全面涵蓋所有的ESAT和牛津PAT主題。
  • 經過多年教學實踐檢驗的解析技巧和提分策略。
  • 可以隨時隨地學習精心錄製的影片課程,直至考试结束。
  • 配有詳細解析的練習題,幫助您鞏固學習成果。

而練習題集具備除精心錄製的影片以外的上述所有優勢。

您將獲得:

  • 精心錄製的影片課程(僅限ESAT+PAT影片課程用戶)
  • 可下載的教材PDF
  • 線上練習題
  • 所有問題的詳細解析(線上)
  • 購買課程即可免費獲得分類真題集PDF

我們的ESAT和PAT課程資料中的題目,一部分是由優易的專業導師團隊編寫的原創題目,還有一部分來自歷年的牛劍入學考試真題和相關競賽的真題或改編題。

您付款成功後,即可透過您的線上帳戶觀看影片課程(僅限ESAT+PAT影片課程用戶)和做線上練習題。您可以在兩年內隨時隨地、使用電腦、平板或手機登設備播放影片課程。

請注意,影片課程和練習題集不支付退款。我們建議您在購買前仔細閱讀課程詳情,包括課程大綱、教材樣本、練習題樣本和常見問題解答等,以確保課程符合您的需求。

雖然視頻課程和資料設計得很全面,但我們理解您可能在學習過程中仍然會遇到一些問題,或者需要獲得更好的學習效果。為此,我們提供付費輔導服務,提供個人化輔導並詳細解答您的問題。請聯繫我們了解更多個人化輔導的資訊。

我們的專業支援團隊隨時準備協助您解決任何技術問題或技術難題。您可以通過即時通訊應用程式或info@ueie.com聯繫他們。

This post is also available in: English 简体 한국어

Module 1: 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

Module 2: 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

Module 3: 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

Module 4: 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

Module 5: 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

Module 6: ESAT & PAT

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

模組1:ESAT數學1

• 統計學

平均數、範圍、分佈

• 計數與機率

排列、組合、機率

• 代數

代數運算、方程式和不等式

• 函數與圖像

函數圖像

• 數列

數字序列和模式

• 幾何

平面幾何和立體圖形

• 比率和比例

理解和應用比率

模組2:ESAT數學2

• 多項式

多項式函數和方程式

• 繪製圖像

繪製各種函數的圖形

• 三角學

三角函數和恆等式

• 指數和對數

指數和對數函數

• 方程式

高級方程式求解技巧

• 二項式展開

展開二項式表達式

• 級數

算術和幾何級數

• 微積分

微分和積分

• 坐標幾何

在幾何問題中使用坐標

模組3:ESAT物理

• 力學

運動學、靜態平衡、動力學、功和能、動量

• 物質

物質的屬性

• 熱物理學

熱、溫度和熱力學

• 波

波的性質、波的現象(包括光學)

• 電和磁

電路、磁場、電磁學

• 核物理

核物理的基本概念

模組4:PAT數學

• 代數

代數運算、方程式、不等式

• 三角學

三角函數和恆等式

• 數列

數列、計數和規律

• 多項式

多項式函數和方程式

• 微積分

基本微分和積分技巧

• 幾何

平面幾何、坐標幾何、立體圖形

模組5:PAT物理

• 力學

運動學、力、能量、動量

• 波

波的性質、波的現象

• 電和磁

電路、磁場

• 光學

反射、折射、透鏡

• 核物理

核物理的基本概念

• 天體物理學

月相、日食、太陽系

模組6:ESAT+PAT

這個模組包含了ESAT和PAT全部的數學和物理主題。

• 數學

統計、代數、三角學、函數、微積分、幾何

• 物理

力學、物質、熱物理學、波、電和磁、核物理、天體物理學