A Complete Academic Ecosystem for STEP II & STEP III
The Sixth Term Examination Paper (STEP) is one of the most rigorous pre-university mathematics examinations in the United Kingdom.
Primarily used by:
University of Cambridge
University of Warwick
STEP does not reward speed or memorisation.
It assesses:
Multi-stage reasoning
Proof-based clarity
Algebraic and analytical maturity
Structured written mathematics
Depth of conceptual understanding
The Mathematics Elevate STEP Programme has been developed as a complete, structured preparation pathway for serious applicants aiming for Grade 1 or Grade S performance.



Unlike conventional examinations:
Questions are long-form and unstructured.
Candidates must choose which questions to attempt.
Marks are awarded for clarity of reasoning.
Logical progression matters as much as the final result.
STEP demands mathematical maturity beyond procedural fluency.
Preparation must therefore cultivate:
Depth before speed
Structure before performance
Clarity before completion
The programme consists of eight integrated volumes across:
Pure Mathematics (2 Volumes)
Mathematical Mechanics (2 Volumes)
Probability & Statistics (2 Volumes)
Examination Strategy ( STEP Compendium 1 Volume)
Fully Worked Solutions (1 Volume)
These texts are designed to function as a coherent academic system rather than isolated problem collections.
Year 12 — Foundation Stage
Pure Mathematics Volume I
Statistics Volume I
Mechanics Volume I
Late Year 12 / Early Year 13 — Depth Stage
Pure Mathematics Volume II
Statistics Volume II
Mechanics Volume II
Year 13 — Examination Stage
Cambridge Exam Guidebook
Solution Guidebook
Timed full-length practice
This sequence ensures conceptual maturity precedes timed performance.
The programme is suitable for:
Applicants to University of Cambridge Mathematics
Applicants to University of Warwick Mathematics
Strong A-Level Mathematics & Further Mathematics students
IB Mathematics AA HL students
Olympiad-trained students transitioning toward STEP
It is designed for candidates targeting competitive offers where STEP performance is decisive.
A Structured Programme of Strategy, Practice, and 40 Mock Examinations for STEP 2 & 3.
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Companion Solution Guide for the THE STEP COMPENDIUM: A Structured Programme of Strategy, Practice, and 40 Mock Examinations for STEP 2 & 3.
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Foundations, Algebra, and Advanced Calculus for STEP II & III
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Advanced Structures and Advanced Problem-Solving
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Foundations of Motion and Newtonian Mechanics
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Advanced Dynamics and Rigid Body Mechanics
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Discrete Models, Combinatorics, and Foundations
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Continuous Models, Limit Laws, and Advanced Techniques
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Advanced Problem-Solving for the Cambridge STEP Guidebook, this book contains about 900 advance problems, which makes it difficult to include answers and solutions for it, for which separate Solution Manual will be released.
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Solution Manual for Mastering STEP Mathematics Guidebook (Advanced Problem Solving). Complete Worked Solutions for the Cambridge Exam Guidebook. Available in both Kindle and Paperback Edition. Total 620 Pages. Same Problem Set in Both First and Second Edition, while Second Edition has more strategic, elaborated and detailed than First Edition. So, Second Edition will serve as Solution as Solution manual for First Edition as well. Kindle Edition is available but, Paperback and Hardcover is not available. For Paperback and Hardcover, Kindly go with THE STEP COMPENDIUM COMPANION.
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The Mathematics Elevate STEP Programme is built upon three principles:
Conceptual Depth
Structured Reasoning
Disciplined Mathematical Writing
It does not rely on shortcuts or pattern memorisation.
STEP rewards clarity of thought.
This programme trains clarity of thought.
Rishabh Kumar
Founder, Mathematics Elevate Academy
Alumnus of IIT Guwahati and the Indian Statistical Institute
Over Seven Years of Teaching Experience
Dedicated to high-rigour mathematics education across international curricula and competitive examinations.
The Mathematics Elevate STEP Programme represents a sustained academic effort to provide serious candidates with a coherent and structured pathway toward STEP excellence.
STEP is not conquered through speed.
It is mastered through disciplined reasoning.
The Mathematics Elevate STEP Programme has been developed as a complete ecosystem for that purpose.
Whether your dream is to study at Oxford or Cambridge, crack the Ivy League, or excel at top global STEM institutions like MIT, Stanford, Caltech, ETH Zürich, NUS, NTU, or Tsinghua, our personalized mentorship will prepare you to compete at the highest level.
👉 Start your journey today and unlock your path to excellence