University Entrance Test

STEP Tutoring & PreparationSixth Term Examination Paper in Mathematics

Specialist one-to-one preparation for STEP — the advanced maths papers used by Cambridge and Warwick as part of their offers. Learn from Oxbridge mathematicians, including tutors who earned top STEP grades themselves, who know exactly what the papers demand.

Find a STEP tutor

About the Test

What is STEP?

STEP (the Sixth Term Examination Paper) is a set of advanced mathematics exams used mainly by Cambridge and Warwick as part of their offers for Mathematics. Unlike the multiple-choice admissions tests, STEP asks for full written solutions and proofs — testing genuine mathematical depth and creativity well beyond A-level.

Who takes STEP

  • Mathematics and closely related applicants
  • Cambridge: part of almost all Maths and Maths with Physics offers (STEP 2 and 3)
  • Warwick: you can sit either paper, or both and submit your best
  • Also used by Imperial, UCL, Durham and others for some maths courses

Format & grading

  • Two papers, STEP 2 and STEP 3 (STEP 1 has been discontinued)
  • Each is a 3-hour written paper — full solutions and proofs, not multiple choice
  • 12 questions per paper; you attempt any 6, and your best answers count
  • Graded S, 1, 2, 3 or U

When & how you sit it

  • Taken in June, towards the end of the A-Level exam period
  • It's part of your conditional offer — sat after you apply and receive an offer
  • Registered through your school, college or an approved test centre (not the UAT-UK platform)
  • Results released in August

Good to know

  • Because it's sat in June, preparation runs right across Year 13
  • Administered by OCR since 2024 (previously Cambridge Assessment)
  • Oxford uses the TMUA for Maths, not STEP — STEP is mainly Cambridge and Warwick
  • A fee applies per paper (around £102.50 in the UK & Ireland for 2026; higher overseas)

Dates, fees and offer requirements are set by OCR and each university, and 2027 dates are confirmed closer to the time — always check ocr.org.uk and your offer conditions.

Your Tutors

Meet our STEP tutors

Oxbridge mathematicians who've sat STEP and TMUA themselves — and know what these papers really take.

Aidan

Aidan

Cambridge Mathematics graduate

£70per hour
Grade S in both STEP papers 5+ years tutoring · STEP residential for state-school students Cambridge Maths practice interviews & personal statements

Hi, I'm Aidan! I've just graduated from the University of Cambridge with a degree in Mathematics. I have 5+ years of experience tutoring mathematics, from GCSE level to university entrance exams, and have helped many students of varying abilities. I earned Grade S in both STEP papers — the top grade available — so I know exactly what the examiners are looking for.

I've helped many students through Cambridge Maths admissions during my degree. I worked on a residential at my college for state school students, supporting them with STEP questions and preparation, and I've given practice interviews for Cambridge Maths to five students as well as reviewing their personal statements. Many students I've tutored are those who need extra help to pass GCSE maths, and I've been able to support and encourage them to do exactly that. I've supported many students with SEND, providing tailored and engaging sessions suited to their individual needs. I am kind and supportive, and what I aim to provide for all students, alongside the mathematical knowledge, is the confidence that they are also good at maths — and that they can enjoy it.

Andrew

Andrew

Cambridge Mathematics — MMath, First Class

£100per hour
Grade 1 in both STEP II and STEP III 13th of 294 in the Cambridge Maths Tripos Multiple national maths competition wins

I'm a recent Mathematics graduate from the University of Cambridge and, above all, a huge maths and physics enthusiast. I earned Grade 1 in both STEP II and STEP III, graduated First Class with distinction — placing 13th in a cohort of 294 — and finished in the top 5% of my year in Part III. Having sat STEP and excelled in it myself, I know exactly what the papers demand, and I love sharing the problem-solving and proof-writing that make the difference.

My lessons are tailored to each student's goals — whether that's a STEP grade, exam preparation or a wider grade target — and I provide personalised study materials and revision notes. I've tutored for over two years with strong reviews, including teaching maths and physics to 16–19s as a residential tutor at an Oxbridge summer school, alongside private tutoring for GCSE, A-Level and undergraduate courses such as mathematical analysis. My own background includes winning multiple national mathematics competitions and achieving A*A*A*A*-equivalent grades in the Polish A-Level system (Maths, Further Maths, Physics, English and Polish Literature), with top marks at GCSE-equivalent level too. STEP rewards months of consistent, structured practice, and I help students build exactly that.

Ana

Ana

Oxford Mathematics

£75per hour
EGMO bronze medallist MAT score: 82 Oxford Mathematics

Oxford mathematics student and European Girls' Mathematical Olympiad bronze medallist, with over a decade of competitive maths behind me. Olympiad problem-solving is the ideal grounding for STEP, and I help students develop the creative, rigorous thinking the papers reward.

I attended a specialist maths high school focused on problem-solving, and I work patiently and consistently until things click. I prepare students for STEP and the TMUA alongside A-Level and GCSE maths, and I love showing them that the hardest problems become approachable with the right mindset.

Jade

Jade

Oxford Mathematics

£75per hour
All A*s at A-Level, all 9s at GCSE Sat the TMUA — scored around 7.0 Three years' tutoring experience

My name is Jadesola — Jade for short — and I'm a Mathematics student at the University of Oxford, having achieved all A*s at A-Level and all 9s at GCSE. STEP rewards exactly the kind of deep, structured problem-solving I love — the reasoning and proof-based thinking that goes beyond routine A-level method. I keep sessions engaging and interactive, always making space to ask questions.

I've been a self-employed tutor since Year 12, teaching Maths and Further Maths at GCSE and A-Level, which has taught me to notice what a student is really struggling with and pace lessons around it. I sat the TMUA myself, scoring around 7.0 — the same reasoning-under-pressure that STEP demands in written form — and I build sessions around structured, patient practice with unfamiliar problems.

Emily

Emily

Cambridge Natural Sciences — BA & MSci, Astrophysics

£72per hour
Four A*s at A-Level · ten grade 9s at GCSE Four years as a Cambridge college ambassador Live Science Presenter, Royal Observatory Greenwich

I'm a recent graduate of the University of Cambridge (Selwyn College), where I studied Natural Sciences, specialising in Astrophysics, for my BA and MSci. Having achieved four A*s at A-level and ten grade 9s at GCSE, I understand both the academic demands of science and maths subjects and the challenges students face in studying them. STEP rewards sustained, structured problem-solving — exactly the habits my Cambridge degree was built on, and what I help students develop.

During several years' experience mentoring and teaching, I've supported prospective Oxbridge applicants through mock interviews and delivered Cambridge-style supervisions on summer schools, helping students develop both subject knowledge and confidence. As a student ambassador for Selwyn College across four years I ran student Q&As and admissions workshops, helped with talks from admissions tutors on what they're looking for in a personal statement or interview candidate, and looked after candidates during the interviews and admissions tests themselves — advising hundreds of applicants along the way. My teaching is inspired by the supervision-style learning I experienced at Cambridge: discussion-based sessions, solving problems together, and marking work with real feedback. I also communicate complex scientific ideas to audiences of all ages, through volunteering with Cambridge Hands On Science and now as a Live Science Presenter at the Royal Observatory Greenwich.

Free Resources

STEP past papers & preparation

STEP rewards months of consistent practice. Work through the official OCR past papers, and use Cambridge's free STEP Support Programme to build problem-solving from the ground up.

Free preparation

Cambridge's free STEP Support Programme is the single best starting point — structured modules that build problem-solving step by step. Pair it with timed past papers as you get closer.

Past papers and registration are handled by OCR; the STEP Support Programme is free from the University of Cambridge. All links open in a new tab.

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