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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.

Mingxuan

Mingxuan

Cambridge Mathematics — First Class, Part III
Entrance test supportInterview and/or personal statement prep included£125/hr
Interview and/or personal statement only£150/hr

Ongoing A-Level tuition with this tutor: £85/hr

Highlights
STEP 2: grade S · STEP 3: grade 1 (2021)
First Class in Cambridge Mathematics, then Part III
Oxbridge Maths mock interviews, STEP and TMUA
A-Levels
Mathematics CAIEA*
Further Mathematics CAIEA*
Read bio

I studied Mathematics at the University of Cambridge, completing both my undergraduate degree and Part III of the Mathematical Tripos. I achieved First Class results throughout my undergraduate studies and ranked within the top 20% of my year.
I have around five years of tutoring experience, amounting to approximately 1,000 hours of teaching. My admissions teaching has included Oxbridge mathematics interview preparation, STEP, TMUA and advanced problem-solving, as well as supporting students with the mathematical thinking and communication skills required for highly selective university applications.
My teaching style is highly interactive and closely aligned with the Oxbridge interview format. I focus not only on whether a student can solve a problem, but on how they structure their reasoning, respond to hints, communicate their ideas and adapt when an initial approach does not work. My aim is to help students become more confident, flexible and precise problem-solvers in unfamiliar situations.

Admissions tutoring experience

I have supported around 30 students with Oxbridge Mathematics admissions, with most of my work focused on interview preparation, mock interviews, STEP and TMUA.
For interview preparation, I work with students through Oxbridge-style mathematical questions in a one-to-one setting. I focus on how clearly they explain their reasoning, how they respond when they are given a hint, whether they can adjust their approach when their first idea does not work, and how confidently they communicate under pressure. After each mock interview, I give detailed feedback on both the mathematics and the way the student approaches and presents their thinking.
I have also supported students preparing for STEP and TMUA, helping them improve both accuracy and efficiency when tackling unfamiliar problems. This includes identifying weaknesses in their existing approach, reviewing difficult questions in detail and helping them develop more reliable problem-solving habits.
Overall, I have around five years of tutoring experience and approximately 1,000 hours of teaching. My admissions experience has been primarily focused on Mathematics.

View all qualifications
Degrees
Master's in Mathematics (Part III)University of Cambridge
BA MathematicsSidney Sussex College, CambridgeFirst
A-Levels
Mathematics CAIEA*
Further Mathematics CAIEA*
Aidan

Aidan

Cambridge Mathematics graduate
Entrance test supportInterview and/or personal statement prep included£70/hr
Interview and/or personal statement only£95/hr

Ongoing A-Level tuition with this tutor: £65/hr

Highlights
Grade S in both STEP papers
5+ years tutoring · STEP residential for state-school students
Cambridge Maths practice interviews & personal statements
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry OCR AA*
Read bio

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.

Admissions tutoring experience

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.

View all qualifications
Degrees
BA MathematicsUniversity of Cambridge2:1
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry OCR AA*
GCSEs
Mathematics AQA9
Further Maths AQA9
Chemistry Edexcel9
Physics9
Biology9
History9
Geography9
English Literature7
English Language6
Abir

Abir

Cambridge Mathematics
Entrance test supportInterview and/or personal statement prep included£105/hr
Interview and/or personal statement only£130/hr

Ongoing A-Level tuition with this tutor: £90/hr

Highlights
STEP II & III: Grade 1 · TMUA: 7.4 · BMO1 Distinction
20+ mock interviews · 5+ Oxbridge Offers
Cambridge Maths graduate & MPhil in AI/ML · Tutoring and Mentoring 10+ Years
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
Physics OCR AA*
Economics EdexcelA*
Read bio

I'm a Mathematics graduate from Sidney Sussex College, Cambridge, currently pursuing an MPhil in Data Intensive Science at Cambridge. I achieved Grade 1 in both STEP II and STEP III, scored 7.4 in the TMUA and earned a Distinction in the British Mathematical Olympiad, alongside seven UKMT Gold Awards, four A*s at A-Level and nine grade 9s at GCSE.

I specialise in Oxbridge Mathematics admissions, STEP, TMUA and interview preparation, alongside GCSE and A-Level tuition. My approach combines strong mathematical expertise with extensive tutoring, mentoring and educational outreach experience, helping students develop the confidence and problem-solving ability to excel.

Admissions tutoring experience

I've mentored over five prospective Oxbridge Mathematics applicants, at least three of whom subsequently received offers. My experience includes 20+ mock Mathematics interviews, 20+ personal statement and application reviews, and personalised guidance across admissions tests, interviews and super-curricular preparation.

I've also developed hundreds of original TMUA and MAT-style questions and practice materials for an admissions preparation company, giving me valuable insight into how challenging admissions problems are designed and assessed.

My tutoring experience began with 11+ preparation in 2016 and has since expanded to over 100 hours of one-to-one tuition across GCSE, A-Level and university admissions. I've additionally worked with an academic summer school provider and Universify Education on academic residential programmes and mentoring initiatives. At Universify, I helped deliver a residential programme for 39 students and provided ongoing individual academic coaching. I've also supported students through Queen Elizabeth's School's Elite Maths Club and Economics Clinic.

GCSE and A-Level tutoring experience

I also teach GCSE Mathematics and Sciences, and A-Level Mathematics, Further Mathematics, Physics and Economics. Having achieved four A*s at A-Level and nine grade 9s at GCSE, I'm familiar with the demands of top-grade preparation and the Edexcel, AQA and OCR specifications.

Above all, I aim to develop genuine mathematical understanding rather than reliance on memorised methods. Whether a student is working towards an A*, tackling STEP or preparing for a Cambridge interview, I focus on building the confidence, independence and problem-solving skills needed to succeed.

View all qualifications
Degrees
MPhil Data Intensive ScienceWolfson College, Cambridge · studying now
BA MathematicsSidney Sussex College, Cambridge2:1
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
Physics OCR AA*
Economics EdexcelA*
GCSEs
Mathematics Edexcel9
Biology AQA9
Chemistry AQA9
Physics AQA9
English Language OCR9
English Literature OCR9
Economics OCR9
Geography AQA9
Art and Design AQA9
German AQA8
Andrew

Andrew

Cambridge Mathematics — MMath, First Class
Entrance test supportInterview and/or personal statement prep included£100/hr
Interview and/or personal statement only£125/hr

Ongoing A-Level tuition with this tutor: £100/hr

Highlights
Grade 1 in both STEP II and STEP III
13th of 294 in the Cambridge Maths Tripos
Multiple national maths competition wins
Read bio

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.

Admissions tutoring experience

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.

View all qualifications
Degrees
MMath MathematicsUniversity of CambridgeFirst with Distinction
BA MathematicsUniversity of CambridgeFirst
Other qualifications
Mathematics (Polish Matura)A*
Further Maths (Polish Matura)A*
Physics (Polish Matura)A*
English as a Foreign Language (Polish Matura)A*
Further English as a Foreign Language (Polish Matura)A*
Polish (Polish Matura)A*
Polish GCSE-equivalent exams (5 subjects)9 (all)
Emily

Emily

Cambridge Natural Sciences — BA & MSci, Astrophysics
Entrance test supportInterview and/or personal statement prep included£72/hr
Interview and/or personal statement only£97/hr

Ongoing A-Level tuition with this tutor: £65/hr

Highlights
Four A*s at A-Level · ten grade 9s at GCSE
Four years as a Cambridge college ambassador
Live Science Presenter, Royal Observatory Greenwich
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
History OCR AA*
Physics OCR AA*
Read bio

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.

Admissions tutoring experience

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.

View all qualifications
Degrees
BA and MSci Natural Sciences (Astrophysics)Selwyn College, Cambridge
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
History OCR AA*
Physics OCR AA*
FSMQ
Additional Maths OCRA
GCSEs
Mathematics Edexcel9
Astronomy EdexcelA
Biology AQA9
Chemistry AQA9
English Language AQA9
English Literature AQA9
Geography AQA9
History AQA9
Physics AQA9
Sociology AQA9
Spanish AQA9
Theo

Theo

Oxford Mathematics
Entrance test supportInterview and/or personal statement prep included£65/hr
Interview and/or personal statement only£90/hr

Ongoing A-Level tuition with this tutor: £55/hr

Highlights
Distinction in the British Mathematical Olympiad
Tutors Maths & Further Maths to A-Level and beyond
Four A*s at A-Level · ten grade 9s at GCSE
A-Levels
Chemistry AQAA*
Physics AQAA*
Mathematics EdexcelA*
Further Mathematics EdexcelA*
Read bio

I am a recent graduate of Mathematics from Lincoln College, Oxford. I achieved four A*s at A-Level and ten grade 9s at GCSE, as well as a distinction in the British Mathematical Olympiad — the kind of unfamiliar, proof-based problem-solving that STEP is built around. I have two years of tutoring experience, and I deliver a personal style of tutoring which is more collaborative and involved than at school, closer to an Oxford tutorial.

Admissions tutoring experience

I've helped students with admissions preparation as a university student ambassador, running personal statement workshops, mock interviews and entrance exam preparation, and I tutored one student through the Oxford Mathematics admissions process, taking their practice score from 40 to 60. My Olympiad background means I'm comfortable with the kind of problems STEP sets — ones that don't have an obvious route in — and I focus on building the rigour and creativity needed to construct a full, written proof under time pressure.

View all qualifications
Degrees
BA MathematicsLincoln College, Oxford2:1
A-Levels
Chemistry AQAA*
Physics AQAA*
Mathematics EdexcelA*
Further Mathematics EdexcelA*
GCSEs
Mathematics AQA9
Further Mathematics AQA9
Physics AQA9
Chemistry AQA9
Biology AQA9
Geography AQA9
Spanish AQA9
Music Edexcel9
English Language AQA9
English Literature AQA9
Design & Technology AQA8
Astronomy Edexcel7
Frederick

Frederick

Imperial Chemistry master's · Maths PhD researcher
Entrance test supportInterview and/or personal statement prep included£75/hr
Interview and/or personal statement only£100/hr

Ongoing A-Level tuition with this tutor: £70/hr

Highlights
12 years' tutoring maths and sciences, GCSE to university
Two master's degrees from Imperial College London
Qualified Teacher Status (QTS)
Read bio

I hold a master's degree in Chemistry with Molecular Physics from Imperial College London, as well as a postgraduate master's in Theory and Simulation of Materials from the same university. I have 12 years' tutoring experience in Physics, Maths, Further Maths, Chemistry, and Biology across all academic levels, from GCSE/IGCSE to IB. I also have significant mentoring experience and hold QTS (Qualified Teacher Status). I am currently pursuing a PhD in Pure Mathematics.

My experience includes working with students of varying abilities, helping them master challenging concepts and excel in their coursework. I have successfully prepared students for key exams, including GCSEs, A-Levels, and university entrance assessments, often helping them achieve top grades. I have tutored students from prestigious schools, including St. Paul's School, St. Paul's Girls' School, Tiffin School, Westminster, Eton, and Rugby. This experience has given me a deep understanding of the academic challenges students face and the strategies to overcome them.

I have extensive experience in tutoring A level and GCSE/IGCSE Chemistry, Physics, Maths and Biology, and A level Further Maths, across all the main exam boards; IB Maths, Physics and Chemistry (Higher and Standard); undergraduate Geophysics, Physics, Chemistry, Engineering and Mathematics; postgraduate Mathematics; and the TMUA, ESAT (Biology, Chemistry, Physics, Mathematics 1, Mathematics 2) and STEP (II and III).

My approach is tailored to each student's needs, ensuring they grasp complex concepts and excel in their studies. In addition to tutoring, I have extensive mentoring experience, guiding students not only in their academic pursuits but also in developing effective study strategies, time-management skills, and confidence. My mentoring background has enabled me to support students holistically and help them realise their full potential.

Admissions tutoring experience

I have extensive experience in tutoring the TMUA, ESAT (Biology, Chemistry, Physics, Mathematics 1, Mathematics 2) and STEP (II and III).

View all qualifications
Degrees
PhD Pure Mathematicsstudying now
Master's in Theory and Simulation of MaterialsImperial College London
Master's in Chemistry with Molecular PhysicsImperial College London
Ziji

Ziji

Oxford Mathematics (MMath)
Entrance test supportInterview and/or personal statement prep included£75/hr
Interview and/or personal statement only£100/hr

Ongoing A-Level tuition with this tutor: £70/hr

Highlights
TMUA score: 7.2 (2022)
MAT score: 82 (2022)
Taster interviews at an Oxford college maths open day
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
Read bio

Hello! My name is Ziji and I am studying for a master’s degree in Mathematics at St John's College, Oxford. I achieved First Class Honours in my undergraduate degree and placed in the top 20% of my cohort. I also achieved 3A*s in my A-Levels in Maths, Further Maths and Computer Science, and scored 9s across the board in GCSEs.

I have over 150 hours of tutoring experience, from teaching A-Levels and GCSE to Oxbridge admissions preparation tests such as the TMUA and STEP. I am committed to helping students achieve the very best they can. I create a tailored learning plan for each student, working closely with them to strengthen their weaker areas whilst challenging them in topics they feel more confident in.

Above all, my focus is on encouraging my students to develop deeper problem solving and critical thinking skills. Not only do I aim to help them develop the skills to succeed in their exams, but also to be well prepared for further studies and beyond.

Admissions tutoring experience

I have been helping people with the Oxbridge admissions system for over 6 months. My focus so far has been on support for admissions tests - I have helped over 3 students with preparing for the TMUA and ESAT, with all of them due to take their assessments soon in October/November. I have also been involved with giving taster interviews to over ten yr 12 students as part of a yearly maths open day at St John's College Oxford. As part of this I also led some group collab MAT sessions between students.

View all qualifications
Degrees
MMath MathematicsSt John's College, Oxford · studying now
A-Levels
Mathematics EdexcelA*
Further Mathematics EdexcelA*
FSMQ
Additional Mathematics OCRA
GCSEs
Mathematics AQA9
Ana

Ana

Oxford Mathematics
Entrance test supportInterview and/or personal statement prep included£75/hr
Interview and/or personal statement only£100/hr

Ongoing A-Level tuition with this tutor: £75/hr

Highlights
EGMO bronze medallist
MAT score: 84
Oxford Mathematics
Read bio

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.

Admissions tutoring experience

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.

View all qualifications
Degrees
MathematicsUniversity of Oxford · studying now
Other qualifications
Serbian Language and Literature5
Analysis with Algebra5
Nonhomogeneous difference equations5
Serbian Language and Literature5
English Language5
Philosophy5
Physics5
Astronomy5
Biology5
Physical and Health Education5
Analysis with Algebra5
Probability and Mathematical Statistics5
Numerical Mathematics5
Computer Science and Informatics5
Programming and Programming Languages5
Religious Education5
German Language5
Jade

Jade

Oxford Mathematics Graduate
Entrance test supportInterview and/or personal statement prep included£75/hr
Interview and/or personal statement only£100/hr

Ongoing A-Level tuition with this tutor: £65/hr

Highlights
All A*s at A-Level, all 9s at GCSE
Sat the TMUA — scored around 7.0
Four years' tutoring experience
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry AQAA*
Economics EdexcelA*
Read bio

My name is Jadesola — Jade for short — and I'm a Mathematics graduate from 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.

Admissions tutoring experience

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.

View all qualifications
Degrees
MathematicsUniversity of Oxford
A-Levels
Mathematics EdexcelA*
Further Maths EdexcelA*
Chemistry AQAA*
Economics EdexcelA*
GCSEs
Mathematics Edexcel9
English Language AQA9
English Literature Edexcel9
Chemistry AQA9
Biology AQA9
Physics AQA9
Food and Nutrition WJEC9
Business Studies Edexcel9
Information Technology OCRDistinction*
Religious Studies AQA9

Each tutor shows up to three prices. Entrance test support is for students who want tuition for their course's entrance test, with interview and/or personal statement preparation included at the same rate. Interview and/or personal statement only is for students who want help with either or both without entrance test tuition, including students whose course has no entrance test. If you then book entrance test support, those lessons are charged at the entrance test price. Ongoing A-Level tuition is the price if you carry on with A-Level tuition with this tutor.

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.

How it works

Simple, flexible, by the hour

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Our charging promise: You only ever pay for the hours you need to use, no packages or contracts. Rates vary by tutor and are shown on each tutor's profile.

Applying for Maths? See our Maths page for how Oxford and Cambridge assess it. Not your course? See every Oxford and Cambridge course and its admissions test, A–Z.

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