What STEP is
The current landscape: STEP has two papers: STEP 2 and STEP 3. Cambridge Mathematics applicants must take the TMUA, and Cambridge states that its minimum offer level is Grade 1 in both STEP 2 and STEP 3. For 2027 entry, Warwick Mathematics applicants must take either the TMUA or STEP; applicants taking STEP must achieve Grade 2 in any STEP paper.
Format: each paper lasts three hours and contains 12 questions: eight Pure, two Mechanics and two Probability/Statistics. All attempted answers are marked, but only the six best answers determine the final grade. OCR advises candidates to concentrate on six. STEP rewards clear mathematical working and progress towards a solution, and grades run S, 1, 2, 3, U. Grade boundaries vary by paper and year; there is no official fixed number of completed questions associated with Grade 1.
Content: STEP 2 draws on A-level Maths and AS Further Maths; STEP 3 assumes the full Further Maths A-level. The difficulty is not the content — it's what the questions do with it.
How we prepare students
STEP preparation with us is a long-arc programme, shaped to where you are: exploratory problem work in Year 12; TMUA-focused autumn (the two tests share a mathematical culture, and the work compounds); then, post-offer, a structured campaign to June — question selection strategy, topic-by-topic depth, full timed papers, and detailed written feedback on your actual solutions, because how you write mathematics is examined whether you like it or not.
Sessions are built around you attempting hard problems and us watching how — where your instincts are good, where you retreat to comfortable technique, what you do when stuck. That last one is the real curriculum. And the tutor matters more here than for any other test we prepare: months of productive struggle require someone whose challenge you trust. Fit before hours, especially here.
Preparing for more than the test
We'll say it plainly: STEP preparation, done properly, is preparation for a mathematics degree — more so than the A-level it follows. The interview benefits are immediate (a Cambridge maths interview is essentially a STEP question done aloud with hints, and students who've fought STEP problems find interviews familiar rather than terrifying). But the longer payoff is the one former students mention: the acquired conviction that hard problems yield to patience and honest method. That transfers to everything — which is rather the point of education, and the reason we pair STEP students with mentors further down the mathematical road when they want a picture of where this all leads.
Resources we rate
- The Cambridge STEP Support Programme (step.maths.org) — free, official, developed with NRICH: foundation modules plus dedicated STEP 2 and 3 modules. This is the canonical starting point and it costs nothing. Start here.
- Siklos, *Advanced Problems in Mathematics — the classic STEP text, free as a PDF: past problems with discussion that teaches you how to think about* the problems, not just solve them.
- Past papers — decades of them exist. Early on, use them untimed and unhurried; timing comes last, not first.
- NRICH (nrich.maths.org) — for the Year 12 exploratory phase; problems that build the right instincts before formal STEP work begins.
- Underground Mathematics (undergroundmathematics.org) — Cambridge-built resources that connect A-level content the way STEP questions assume it's connected.
- UKMT BMO papers — different flavour (competition olympiad vs. exam), but excellent for students who've exhausted the standard arc and want stretch.
Common questions
Questions students and parents ask
When should I start STEP preparation?
Light contact from Year 12 if Cambridge Maths is the ambition; seriously from the offer in January; urgently if it's already spring. Each is workable — the plan just changes shape. The one wrong answer is "after A-levels finish."
What grade do I need?
Cambridge publishes Grade 1 in both STEP 2 and STEP 3 as its minimum offer level, while some Colleges may make alternative offers. There is no fixed official number of completed questions associated with Grade 1; grade boundaries vary by paper and year.
Do I need Further Maths?
For STEP 3, effectively yes — it assumes the full Further Maths A-level. STEP 2 assumes A-level Maths plus AS Further content. Talk to us if your school doesn't offer Further Maths; there are routes.
How is this different from TMUA preparation?
Same mathematical culture, opposite format: TMUA is twenty short multiple-choice sprints; STEP is four long-form arguments. Cambridge Maths applicants need both, and preparing them as one continuous programme — rather than two separate panics — is exactly what we recommend.
I got my offer and I'm terrified of the STEP condition. Is that normal?
Completely, and it's worth naming: STEP is the rare exam where the stakes arrive before the preparation. Structure dissolves that fear better than reassurance does. That's most of what post-offer tutoring is for.
Can tutoring guarantee a Grade 1?
No. What it does: honest early information about your position, a preparation structure that survives the post-offer motivation dip, and expert eyes on your written mathematics — which is where invisible marks are lost.
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