Cambridge STEP Practice Questions

Hone Your Skills for Exam Success

Dreaming of studying Mathematics, Computer Science or maths related courses at a top university? The Cambridge STEP is your key. These challenging exams set you apart.

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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 Cambridge STEP expert Xie Tao, these practice questions empower you to master STEP concepts and strategies comprehensively. Gain the knowledge and confidence to tackle the Cambridge STEP and achieve top scores.

Why choose UEIE's Cambridge STEP 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 STEP 2 and STEP 3 topics, from logical reasoning, algebra, calculus, to mechanics and statistcs, ensuring complete syllabus understanding.

Flexible Learning

Learn anytime, anywhere. Our Cambridge STEP Practice Questions are available for two years, giving you complete flexibility to learn by yourself at your own pace.

Build a Rock-Solid Foundation

Master STEP core concepts, gain a deep understanding of mathematics knowledge, and build the skills you need to excel in STEP.

Maximise Your Score through Practice

Equip yourself with proven strategies for time management and problem-solving, and reinforce your learning with 1000+ 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 Cambridge STEP 2 or STEP 3 exams.

Students aspiring to study mathematics, computer science, or related courses at Oxford, Cambridge, Imperial College, etc.

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

Your Cambridge STEP Success Journey Starts Here

UEIE’s Cambridge STEP Practice Questions are structured around 5 modules, combined into 7 unique course bundles to fit your individual needs. Choose the best combination for your STEP success.

Course Bundles and Modules

Cambridge STEP 2

Course BundleSTEP 2
Core
STEP 2
Pure Maths
STEP 2
Mech & Stats
STEP 2
Complete
STEP
Core Module
  
STEP 2
Pure Maths Module
  
STEP 2
Mech & Stats Module

 

 

Cambridge STEP 3

Course Bundle STEP 3 Pure Maths STEP 3 Mech & Stats STEP 2 & 3 Complete
STEP Core Module
STEP 2 Pure Maths Module
STEP 2 Mech & Stats Module
STEP 3 Pure Maths Module
STEP 3 Mech & Stats Module

Course Overview

Cambridge STEP 2

 

Course BundleSTEP 2
Core
STEP 2
Pure Maths
STEP 2
Mech & Stats
STEP 2
Complete
No. of Practice Questions370270140780
Suggested Learning Hours10010030-50200-250

Cambridge STEP 3

 

Course BundleSTEP 3
Pure Maths
STEP 3
Mech & Stats
STEP 2 & 3
Complete
No. of Practice Questions 130901000
Suggested Learning Hours6030-40250-350

Enroll Today!

Start Your Journey to STEP Success!

* Enjoy 2 full years of access to the course materials, allowing you to learn at your own pace.

Practice Questions Modules

Reinforce your learning with five corresponding modules of Cambridge STEP Practice Questions,

providing targeted practice and detailed solutions.

Cambridge STEP Core Practice Questions

Cambridge STEP 2 Pure Maths Practice Questions

Cambridge STEP 2 Mechanics & Statistics Practice Questions

Cambridge STEP 3 Pure Maths Practice Questions

Cambridge STEP 3 Mechanics & Statistics Practice Questions

Course Materials

Empower your Oxbridge journey with UEIE’s Cambridge STEP Practice Questions comprehensive learning resources.

Xie Tao Cambridge STEP 2025 Coursebooks (8th Edition)

Revised annually, these coursebooks align closely with the latest STEP specification

and feature hundreds of exam-style practice questions designed to help you achieve top scores.

Cambridge STEP Practice Questions (Online)

Boost your exam performance with 1000+ online practice questions and detailed solutions covering all the essential topics.

Categorised Questions (Bonus)

Purchase any bundle and get corresponding STEP 2 or STEP 3 Categorised Questions (2025 Edition) PDFs FREE!

Module Topics Overview

This comprehensive Cambridge STEP Practice Questions consists of 5 modules,

covering all the topics for the Cambridge STEP mathematics examination, with a focus on STEP 2 and STEP 3.

Frequently Asked Questions

劍橋 STEP(Sixth Term Examination Paper,第六學期考試卷)數學考試是由劍橋大學和華威大學等高校使用的一項高難度評估,用於評估考生的高等數學思維和解題能力。對於申請數學相關專業的學生來說,這項考試尤為重要。如需進一步了解STEP考試,請參閱劍橋STEP考試全面解讀 — 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STEP 2和STEP 3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STEP專家謝濤老師學習的學生。

課程涵蓋STEP 2和3考試的所有重要主題,包括:

  • STEP核心:邏輯、證明、數論、代數、函數和圖像。
  • STEP 2+3純粹數學:三角學、數列和級數、複數、微積分、矩陣和向量、平面幾何、坐標幾何。
  • STEP 2+3力學:平衡、運動學、動力學、能量、碰撞、圓周運動和簡諧運動。
  • STEP 2+3統計學:概率、分佈、隨機變量。

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

其中,影片課程的優勢有:

  • 由劍橋STEP名師謝濤編寫和講授。
  • 全面涵蓋所有的STEP 2和STEP 3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,有效期兩年。
  • 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(僅限劍橋STEP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

我們的劍橋STEP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(僅限劍橋STEP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。

Module 1: 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

Module 2: 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

Module 3: 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

Module 4: 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

Module 5: STEP 3 Mechanics & Statistics

Master challenging concepts in mechanics and statistics.

• Mechanics

Impact, circular motion, and simple harmonic motion

• Statistics

Further random variables

模組1:STEP核心

涵蓋STEP考試的核心數學原理,幫您打下堅實的數學基礎。

• 邏輯與證明

• 計數

• 數論

• 代數

方程、不等式和多項式

• 函數和圖像

函數、圖像、圖像繪製和三角恆等式

模組2:STEP 2純粹數學

深入學習STEP 2考試中至關重要的純數學主題。

• 三角學

• 數列和級數

• 積分和微分方程

• 複數

• 向量與矩陣

• 平面幾何

• 坐標幾何

模組3:STEP 2力學與統計學

掌握力學和統計學內容。

• 力學

平衡、運動學、動力學、能量和動量

• 統計學

概率、分佈、博弈和策略

模組4:STEP 3純粹數學

學習進階純粹數學主題,助您在STEP 3考試中脫穎而出。

• 複數進階

• 麥克勞林級數

• 微分方程進階

• 向量與矩陣進階

• 圓錐曲線、參數方程和極坐標

模組5:STEP 3力學與統計學

掌握力學和統計學中極具挑戰的內容。

• 力學

衝量、圓周運動和簡諧運動

• 統計學

隨機變量進階