Cambridge mathematics preparation

STEP preparation.

The Sixth Term Examination Paper assesses depth of understanding, mathematical maturity and the ability to construct logical solutions. Unlike standard school examinations, success in STEP depends not only on reaching the correct answer, but on communicating a clear and complete mathematical argument.

STEP 2 A Level Mathematics and AS Further Mathematics
STEP 3 A Level Mathematics and Further Mathematics
3 hours For each examination paper
Best 6 Answers determine the final mark
What STEP rewards

Much more than remembering techniques.

STEP problems require students to combine mathematical knowledge with insight, persistence and clear written communication.

01

Depth of understanding

Recognise why mathematical methods work and adapt them when a problem does not resemble a familiar textbook exercise.

02

Mathematical persistence

Make sustained progress through a long problem, respond productively when an approach fails and extract useful partial results.

03

Clear written solutions

Present a logical argument with sufficient explanation, appropriate notation and enough working for an examiner to follow every important step.

Paper format

STEP 2 and STEP 3.

Both examinations follow the same overall paper structure, although STEP 3 draws on more advanced Further Mathematics content.

STEP 2

Based principally on A Level Mathematics and AS Level Further Mathematics content.

  • Three-hour written paper
  • Eight Pure Mathematics questions
  • Two Mechanics questions
  • Two Probability and Statistics questions
  • Each question marked out of 20

STEP 3

Based principally on A Level Mathematics and full A Level Further Mathematics content.

  • Three-hour written paper
  • Eight Pure Mathematics questions
  • Two Mechanics questions
  • Two Probability and Statistics questions
  • Each question marked out of 20
Candidates may attempt questions from any section. All attempted answers are marked, but the final total is based on the six highest-scoring answers. Calculators and formula booklets are not permitted.
Common difficulties

Why strong students still lose marks.

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.

1
Starting without understanding the structure

Beginning calculations immediately without identifying what the earlier parts are intended to establish.

2
Abandoning problems too quickly

Treating an incomplete solution as worthless rather than finding the next useful observation and earning partial credit.

3
Insufficient justification

Omitting important reasoning, positivity conditions, special cases or explanations because the conclusion feels obvious.

4
Poor question selection

Spending too much of the examination on an unsuitable problem instead of identifying questions that offer the strongest route to substantial marks.

Preparation process

Build the skills gradually, then apply them under pressure.

STEP preparation should begin with developing mathematical maturity and eventually progress towards complete timed papers and detailed examination feedback.

1

Build foundations

Strengthen core algebra, calculus, proof, sequences, geometry and other specification knowledge.

2

Develop ideas

Work through carefully selected problems with hints that encourage progress without removing the challenge.

3

Write complete solutions

Turn informal reasoning into clear, logical and examiner-readable mathematical arguments.

4

Refine exam strategy

Use timed work to improve question selection, persistence, pacing and the ability to recover when stuck.

Examiner insight

Preparation informed by how STEP is actually marked.

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.

Free STEP resources

Official papers, specifications and preparation support.

These resources provide the best starting point for understanding the syllabus and building experience with authentic STEP questions.

Student feedback

Preparation with clear expectations.

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
Frequently asked questions

STEP preparation questions.

When should a student begin preparing for STEP?

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.

Is STEP preparation mainly about completing past papers?

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.

Does a student need to complete six full solutions?

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.

Are both STEP 2 and STEP 3 covered?

Yes. Tuition can focus on STEP 2, STEP 3 or both papers, depending on the student's offer, current mathematical background and preparation needs.

Are lessons available to students outside the UK?

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.

STEP enquiries

Discuss your STEP preparation.

A free consultation call or video chat is available to discuss the student's current level, target course, offer requirements and preparation so far.