Depth of understanding
Recognise why mathematical methods work and adapt them when a problem does not resemble a familiar textbook exercise.
I offer individual online STEP 2 and STEP 3 tuition for students preparing for demanding university mathematics admissions. I am a Cambridge Mathematics graduate, STEP examiner and marking supervisor, and my teaching focuses on the problem solving, solution writing and exam judgement needed to perform strongly in STEP.
STEP problems require students to combine mathematical knowledge with insight, persistence and clear written communication.
Recognise why mathematical methods work and adapt them when a problem does not resemble a familiar textbook exercise.
Make sustained progress through a long problem, respond productively when an approach fails and extract useful partial results.
Present a logical argument with sufficient explanation, appropriate notation and enough working for an examiner to follow every important step.
Both examinations follow the same overall paper structure, although STEP 3 draws on more advanced Further Mathematics content.
Based principally on A Level Mathematics and AS Level Further Mathematics content.
Based principally on A Level Mathematics and full A Level Further Mathematics content.
STEP rewards meaningful progress. A student does not always need to finish a problem to earn substantial credit, but their reasoning must be clear enough for that progress to be recognised.
Beginning calculations immediately without identifying what the earlier parts are intended to establish.
Treating an incomplete solution as worthless rather than finding the next useful observation and earning partial credit.
Omitting important reasoning, positivity conditions, special cases or explanations because the conclusion feels obvious.
Spending too much of the examination on an unsuitable problem instead of identifying questions that offer the strongest route to substantial marks.
I do not use a fixed programme. Sessions are adapted to the student's current level, the paper or papers they are taking, their mathematical strengths and weaknesses, and the amount of preparation time available.
Strengthen core algebra, calculus, proof, sequences, geometry and other specification knowledge.
Work through carefully selected problems with hints that encourage progress without removing the challenge.
Turn informal reasoning into clear, logical and examiner-readable mathematical arguments.
Use timed work to improve question selection, persistence, pacing and the ability to recover when stuck.
As a STEP examiner and marking supervisor, I have direct experience of how candidate scripts are assessed and what distinguishes high-scoring solutions from weaker ones.
This allows tuition to address not only how to solve difficult problems, but how to communicate progress in a way that earns the marks available.
Students receive feedback on mathematical accuracy, clarity, efficiency, notation and the completeness of their arguments.
These resources provide the best starting point for understanding the syllabus and building experience with authentic STEP questions.
Current information about STEP, registration, scoring, results and examination administration.
Visit the official STEP page →The complete specification for STEP 2 and STEP 3 examinations from June 2026 onwards.
Open the STEP specification →Official past papers, solutions, mark schemes and further preparation material provided through OCR.
Explore official past papers →Free assignments, modules and a searchable database of STEP questions organised by topic and level.
Visit the STEP Support Programme →A practical guide to structure, justification, useful partial progress and checking a complete mathematical argument.
Read the solution-writing guide →A realistic timeline from early problem-solving development to offer-holder paper practice.
Read the preparation timeline →Thank you for all of your help with the STEP preparation. Every lesson was extremely useful, and I am very grateful for all the work you put in outside of just the lessons, marking my work as well as giving me lots of guidance throughout. Without your help, I’m sure the outcome would have been different! If I’m ever asked about how to prepare for STEP, I’ll be sure to highly recommend you.STEP student
Students benefit from beginning problem-solving preparation well before receiving an offer. This allows them to develop mathematical maturity gradually rather than attempting to learn STEP technique in only a few months.
Past papers are important, but completing them without detailed reflection is not enough. Students also need targeted work on mathematical techniques, problem-solving habits, solution writing and examination strategy.
Not necessarily. The six best answers contribute to the final score, and substantial partial progress can earn marks. However, students should aim to develop the ability to complete problems and communicate their reasoning fully.
Yes. Tuition can focus on STEP 2, STEP 3 or both papers, depending on the student's offer, current mathematical background and preparation needs.
Yes. Tuition is delivered online and is available to students in the UK, China and elsewhere. Work can be shared before and after each lesson.
Please get in touch with the student's current year group, target course and university, whether they are preparing for STEP 2, STEP 3 or both, and any preparation they have completed so far.