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.
Over 1000 practice questions covering STEP Core, STEP 2, and STEP 3.
Benefit from the expertise of a distinguished Oxbridge tutor.
Gain a thorough understanding of problem-solving approaches with step-by-step solutions for every question.
Easily target specific areas for focused practice.
Challenge yourself with a wide range of difficulty levels, from foundational to advanced.
Reinforce your learning and maximize your progress when used alongside Cambridge STEP Video Lectures.
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.
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.
| 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 |
|---|---|---|---|---|---|---|---|
STEP Core Module | ✅ | ✅ | ✅ | ||||
STEP 2 Pure Maths Module | ✅ | ✅ | ✅ | ||||
STEP 2 Mech & Stats Module | ✅ | ✅ | ✅ | ||||
STEP 3 Pure Maths Module | ✅ | ✅ | |||||
STEP 3 Mech & Stats Module | ✅ | ✅ |
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 |
|---|---|---|---|---|---|---|---|
| Number of Topics | 16 | 15 | 9 | 10 | 6 | 40 | 56 |
| Sets of Practice | 48 | 45 | 27 | 30 | 18 | 120 | 168 |
| Number of Qs | 370 | 270 | 140 | 130 | 90 | 780 | 1000 |
| Est. L.H. | 100 hrs | 100 hrs | 30-50 hrs | 60 | 30-40 | 200-250 hrs | 250-350 hrs |
* Enjoy 2 full years of access to the course materials, allowing you to learn at your own pace.
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
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!
Boost your exam performance with 1000+ online practice questions and detailed solutions covering all the essential topics.
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:
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.
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.
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.
Learn directly from Xie Tao, a dedicated and experienced mentor, who makes these complex exams accessible and understands the Oxbridge admissions process.
Cover all STEP 2 and STEP 3 topics, from logical reasoning, algebra, calculus, to mechanics and statistcs, ensuring complete syllabus understanding.
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.
Master STEP core concepts, gain a deep understanding of mathematics knowledge, and build the skills you need to excel in STEP.
Equip yourself with proven strategies for time management and problem-solving, and reinforce your learning with 1000+ 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 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.
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 Bundle | STEP 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 |
|
| √ | √ |
| 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 Bundle | STEP 2 Core | STEP 2 Pure Maths | STEP 2 Mech & Stats | STEP 2 Complete |
|---|---|---|---|---|
| No. of Practice Questions | 370 | 270 | 140 | 780 |
| Suggested Learning Hours | 100 | 100 | 30-50 | 200-250 |
| Course Bundle | STEP 3 Pure Maths | STEP 3 Mech & Stats | STEP 2 & 3 Complete |
|---|---|---|---|
| No. of Practice Questions | 130 | 90 | 1000 |
| Suggested Learning Hours | 60 | 30-40 | 250-350 |
* Enjoy 2 full years of access to the course materials, allowing you to learn at your own pace.
Reinforce your learning with five corresponding modules of Cambridge STEP Practice Questions,
providing targeted practice and detailed solutions.
Empower your Oxbridge journey with UEIE’s Cambridge STEP Practice Questions comprehensive learning resources.
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.
Boost your exam performance with 1000+ online practice questions and detailed solutions covering all the essential topics.
Purchase any bundle and get corresponding STEP 2 or STEP 3 Categorised Questions (2025 Edition) PDFs FREE!
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.
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:
The lectures cover all the essential topics for STEP 2 and 3 exams, including:
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:
The practice questions offer all the same benefits except for the video lectures.
You’ll get:
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.
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
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
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
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
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
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
