Cambridge STEP Practice Questions

Xie Tao’s Proven Resource for Mastering STEP 2 & 3
Cambridge STEP Practice Questions

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.

Mastering the STEP exam requires extensive practice. Our Cambridge STEP Practice Questions, developed by renowned Oxbridge test-prep tutor Xie Tao, provide over 1000 problems with detailed solutions, covering every topic and difficulty level. This resource will solidify your understanding, refine your problem-solving skills, and maximise your score.

Why Choose UEIE's Cambridge STEP Practice Questions?

Extensive Question Bank

Over 1000 practice questions covering STEP Core, STEP 2, and STEP 3.

Developed by Xie Tao

Benefit from the expertise of a distinguished Oxbridge tutor.

Detailed Worked Solutions

Gain a thorough understanding of problem-solving approaches with step-by-step solutions for every question.

Organised by Topic

Easily target specific areas for focused practice.

Questions for All Levels

Challenge yourself with a wide range of difficulty levels, from foundational to advanced.

Perfect Companion to the Video Lectures

Reinforce your learning and maximize your progress when used alongside Cambridge STEP Video Lectures.

Who Will Benefit Most

Students taking the STEP exam, especially those applying for Maths or Computer Sciences related courses at Cambridge, Warwick, or other top univerisities.

Students aspiring to enhance their mathematical proficiency and aiming for top marks in the STEP exam to showcase their exceptional problem-solving skills.

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 curriculum is structured around 5 modules, combined into 7 unique course bundles to fit your individual needs.

Choose the best combination for your Cambridge STEP success.

Cambridge STEP Course Bundles

Course BundleSTEP 2 CoreSTEP 2 Pure MathsSTEP 2 Mech & StatsSTEP 3 Pure MathsSTEP 3 Mech & StatsSTEP 2 CompleteSTEP 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

     

Cambridge STEP Course Overview

Course Bundle

STEP 2

Core

STEP 2

Pure Maths

STEP 2

Mech & Stats

STEP 3

Pure Maths

STEP 3

Mech & Stats

STEP 2

Complete

STEP 2 & 3

Complete

No. of Topics161591064056
Sets of Practice4845273018120168
No. of Qs370270140130907801000
Est. L.H.100 hrs100 hrs30-50 hrs6030-40200-250 hrs250-350 hrs

Course Schedules

Expand to learn more

Course Preview

Xie Tao Cambridge STEP 2025 Coursebooks (8th Edition)

Revised annually, these coursebooks align closely with the latest Cambridge STEP specification and feature hundreds of exam-style practice questions designed to help you achieve top scores.

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

Cambridge STEP Practice Questions (Online)

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

STEP Core Practice Questions Demo
STEP 2 Practice Questions Demo
STEP 3 Practice Questions Demo

Enrol Now

Start Practicing & Boost Your STEP Score!

Practice Questions Modules

Reinforce your learning with five distinct modules of Cambridge STEP Practice Questions, providing targeted practice and detailed solutions.

STEP Core

Practice Questions

STEP 2 Pure Maths

Practice Questions

STEP 2 Mechanics & Statistics

Practice Questions

STEP 3 Pure Maths

Practice Questions

STEP 3 Mechanics & Statistics

Practice Questions

Frequently Asked Questions

The Cambridge STEP (Sixth Term Examination Paper) is a challenging assessment used by universities like Cambridge and Warwick to assess candidates’ advanced mathematical thinking and problem-solving skills. It’s particularly important for students applying for mathematics-related courses. Learn more in our Cambridge STEP Essential Guide: The Key Concepts.

You’ll get:

  • Engaging video lectures (Cambridge STEP 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 (Cambridge STEP 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.

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.

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 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

The Cambridge STEP (Sixth Term Examination Paper) is a challenging assessment used by universities like Cambridge and Warwick to assess candidates’ advanced mathematical thinking and problem-solving skills. It’s particularly important for students applying for mathematics-related courses. Learn more in our Cambridge STEP Essential Guide: The Key Concepts.

These lectures are designed for ambitious students who:

  • aim for top scores on the STEP 2 and STEP 3 exams.
  • want to gain a significant advantage in university admissions.
  • learn from a leading STEP expert, Mr. Xie Tao.

The lectures cover all the essential topics for STEP 2 and 3 exams, including:

  • STEP Core: Logic, proof, number theory, algebra, functions and graphs.
  • STEP 2 & 3 Pure Maths: Trigonometry, sequences and series, complex numbers, calculus, matrices and vectors, plane geometry, coordinate geometry.
  • STEP 2 & 3 Mechanics: Equilibrium, kinematics, dynamics, energy, collisions, circular motion and simple harmonic motion.
  • STEP 2 & 3 Statistics: Probability, distributions, random variables.

This test-pre course series consist of two products, Cambridge STEP Video Lectures and its affiliate product, Cambridge STEP Practice Questions.

The video lectures offer:

  • Expert instruction from Xie Tao, a renowned STEP tutor.
  • Comprehensive coverage of all STEP 2 & STEP 3 topics.
  • Proven strategies and techniques to maximise your score.
  • Engaging video lessons that you can access anytime, anywhere, for two years.
  • Practice problems with detailed solutions to reinforce your learning.

The practice questions offer all the same benefits except for the video lectures.

You’ll get:

  • Engaging video lectures (Cambridge STEP 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 Cambridge STEP 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 (Cambridge STEP 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.

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

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Email

info@ueie.com

Phone

(+86) 136-9109-5140