TMUA and STEP Preparation (Oxford MAT Now TMUA)
School maths, used with real depth: reasoning about arguments for the TMUA, and long, careful written solutions for STEP.
Syllabus updated October 2026
Questions? WhatsApp +91 91233 66161 or email connect@modernagecoders.com
Recordings are free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course.
Fees and enrolment
How to join TMUA and STEP Preparation (Oxford MAT Now TMUA)
Choose how you want to pay, pick a plan and press Enrol. We then fix your class timing with you.
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Pay once for 6 months and save 20%. Same live classes, same mentor, a lower price for every session.
Group Classes
6 months · 48 sessions
One payment for all 6 months
- Paying monthly
₹1,499 × 6 months = ₹8,994- You save
- ₹1,795 (20%)
- Per session
- ₹150
₹187
2 sessions a week · 15 to 20 students
Stop early? Every session you have not taken is refunded at ₹150. Refund policy
Enrol for 6 monthsMini Batch
6 months · 48 sessions
One payment for all 6 months
- Paying monthly
₹2,999 × 6 months = ₹17,994- You save
- ₹3,595 (20%)
- Per session
- ₹300
₹375
2 sessions a week · Up to 6 students
Stop early? Every session you have not taken is refunded at ₹300. Refund policy
Enrol for 6 monthsHow your 6-month price works
- Sessions
- 24 one-to-one sessions over 6 months, fully flexible timing
- Price per session
- ₹1,000 instead of
₹1,250 - Your 6-month fee
- ₹1,000 × 24 sessions = ₹24,000
- Paying monthly instead
₹4,999 × 6 months = ₹29,994- You save
- ₹5,994 (20%)
Everything in the monthly 1-on-1 plan is included: your own mentor, flexible timing, personal dashboard, class recordings, progress reports and parent-teacher meetings.
Stop early? Every session you have not taken is refunded at ₹1,000. Refund policy
Pay once for 6 months and save 25%. Same live classes, same mentor, a lower price for every session.
Group Classes
6 months · 48 sessions
One payment for all 6 months
- Paying monthly
$100 × 6 months = $600- You save
- $151 (25%)
- Per session
- $9.35
$12.50
2 sessions a week · 15 to 20 students
Stop early? Every session you have not taken is refunded at $9.35. Refund policy
Enrol for 6 monthsHow your 6-month price works
- Sessions
- 48 one-to-one sessions over 6 months, 2 sessions a week
- Price per session
- $14 instead of
$18.75 - Your 6-month fee
- $14 × 48 sessions = $672
- Paying monthly instead
$150 × 6 months = $900- You save
- $228 (25%)
Everything in the monthly 1-on-1 plan is included: your own mentor, flexible timing, personal dashboard, class recordings, progress reports and parent-teacher meetings.
Stop early? Every session you have not taken is refunded at $14. Refund policy
Pay once for 6 months and save 25%. Same live classes, same mentor, a lower price for every session.
Group Classes
6 months · 48 sessions
One payment for all 6 months
- Paying monthly
$140 × 6 months = $840- You save
- $211 (25%)
- Per session
- $13.10
$17.50
2 sessions a week · 15 to 20 students
Stop early? Every session you have not taken is refunded at $13.10. Refund policy
Enrol for 6 monthsHow your 6-month price works
- Sessions
- 48 one-to-one sessions over 6 months, 2 sessions a week
- Price per session
- $19.60 instead of
$26.25 - Your 6-month fee
- $941
- Paying monthly instead
$210 × 6 months = $1,260- You save
- $319 (25%)
Everything in the monthly 1-on-1 plan is included: your own mentor, flexible timing, personal dashboard, class recordings, progress reports and parent-teacher meetings.
Stop early? Every session you have not taken is refunded at $19.60. Refund policy
How enrolment works
Pick a plan
Group (15 to 20 students), Mini Batch (up to 6, India only) or 1-on-1 with your own mentor. Pay monthly, or for 6 months at once and save.
Press Enrol and pay
Fill in the student's name, email and phone, then pay securely: UPI, cards or net banking in India, or a debit or credit card from any other country.
Fix your class timing
After paying, WhatsApp or call +91 91233 66161 with the student's name and your preferred time. We confirm the batch or 1-on-1 slot and send the class link.
Start learning
Join your first live class at the time you chose. Your mentor takes it from there.
Want to see a class first? Book a Priority Demo: a live class of about 45 to 60 minutes with a mentor reserved for you. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off.
Pay monthly and cancel any time, or pay for 6 months at once and save. Stop a 6-month plan early and every session left is refunded.
International Students (Outside India)
Billed monthly in US dollars, the same price in every country. Contact us with any questions.
Questions before you enrol? Talk to our team.
Ask about class timings, the right level for your child, what they need to know already, or payment. Parents and adult learners can reach us on WhatsApp, by email or by phone.
Our promise
The world's best learning experience, open to everyone.
- World-class instructorsEvery class is taught by an instructor who specialises in that exact field.
- No compromise on qualityEvery lesson, project and piece of feedback is held to the highest standard.
- Education for everyoneLearners aged 6 to 67, from first-time beginners to working professionals, in 25+ countries.
If you want the highest quality, Modern Age Coders is the right choice.
Book a Priority DemoHow long this course takes
This course runs 6 months (24 weeks) per stage: a TMUA stage for Year 12 and early Year 13, and a STEP stage for Year 13 offer-holders; joinable any month at 2 live classes/week + weekly problem sets, written proofs and a monthly timed paper. The range allows for background and pace: a complete beginner uses the full span, and a student with prior knowledge finishes sooner. The syllabus below is planned to the shorter end, with margin kept for revision.
For personalised duration planning, call +91 91233 66161 and we'll map a schedule to your goals.
At a glance
- Who it is for
- Year 12 and Year 13 students (roughly ages 16 to 18) taking A Level Maths, ideally with Further Maths, who enjoy hard problems. Age: Roughly 16 to 18, in Year 12 or Year 13, or the equivalent in another system.
- Prerequisites
- Taking A Level Maths (Further Maths strongly advised for the STEP stage) and confident with GCSE Higher content
- Format
- Live, interactive classes with a real teacher, never pre-recorded videos. Live classes run about one hour.
- Language
- English or Hindi, depending on the batch.
- Duration
- 6 months (24 weeks) per stage: a TMUA stage for Year 12 and early Year 13, and a STEP stage for Year 13 offer-holders; joinable any month
- Weekly commitment
- 2 live classes/week + weekly problem sets, written proofs and a monthly timed paper
- Class size
- Group batches of 15 to 20 students, mini batches of up to 6, or 1-on-1.
- Certificate
- Certificate from Modern Age Coders, awarded on passing the final assessment (this is not a UAT-UK, OCR or university document or result)
- Watch first
- Free recordings of real classes for ages 13 and up, free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course.
- Live demo
- Optional. Enrol directly on this page, or book a Priority Demo: a full live class of about 45 to 60 minutes with a mentor reserved for you.
- Questions
- WhatsApp +91 91233 66161 or email connect@modernagecoders.com.
How we teach
Deep understanding. Real projects. Expert guidance.
Learn coding, AI and maths through careful explanations, practical demonstrations, and hands-on problem-solving. Our instructors guide you from the foundations to advanced ideas, helping you understand what happens, why it happens, and how to build it yourself.
You will explore concepts step by step, write and improve code, investigate mistakes, ask questions, and apply your knowledge to meaningful projects. Lessons are designed around active participation, thoughtful feedback, and growing independence.
Expert-led live teaching, with practical participation built into every lesson.
- Students explain their thinking.
- Instructors demonstrate, then guide practice.
- Learners code, solve, or build during lessons.
- Questions and misconceptions get attention.
- Assignments receive useful feedback.
- Progress is checked before advancing.
Program Overview
Two tests now sit at the centre of UK university admissions maths. The first is the Test of Mathematics for University Admission (TMUA), run by UAT-UK. Its content specification says "The test will consist of two 75 minute papers, taken one after the other. Each paper will consist of 20 multiple-choice questions." Paper 1 is Applications of Mathematical Knowledge and Paper 2 is Mathematical Reasoning; there is "no formulae booklet", "Candidates may not use calculators", and there is "no penalty for incorrect answers". UAT-UK says the TMUA "is based on content typically covered within Higher Level GCSE mathematics courses or AS level mathematics", and that results are reported "on a scale from 1 (low) to 9 (high) to one decimal place". UAT-UK's 2027 entry course list names seven universities using the TMUA for some courses: Durham, Imperial College London, the LSE, Cambridge, Oxford, Warwick and UCL.
The Oxford Mathematics Admissions Test (MAT) has ended. Oxford's Mathematical Institute says: "The MAT will not take place, and all applicants for Mathematics or Computer Science (including joint honours courses) will take the TMUA instead." It describes the MAT as "a test used from 2007 to 2025". Oxford still publishes MAT past papers and solutions, and they remain fine problem-solving practice.
The second test is STEP, the Sixth Term Examination Paper, administered by OCR. OCR says STEP "is used by the University of Cambridge, the University of Warwick and Imperial College London", and Cambridge says STEP is used "as part of almost all conditional offers from Cambridge for" Mathematics. OCR's specification says STEP 2 and STEP 3 "will each be a 3-hour paper" of 12 questions: eight pure, two mechanics and two probability and statistics, each worth 20 marks, with candidates "assessed on the six questions best answered". OCR lists STEP 2 on 14 June 2027 and STEP 3 on 21 June 2027.
Cambridge itself says the TMUA "uses mathematics you will have already learned in your school studies, so there is no need to take a preparation course or to do much preparation beyond familiarising yourself with the test format". We take that seriously. This course is not a shortcut or a set of tricks: it is a place to do hard mathematics regularly with a teacher, to learn the logic and proof that TMUA Paper 2 tests, and to write the long, justified solutions STEP marks. Practice uses our own original problems, plus the free official materials (UAT-UK practice papers and Notes on Logic and Proof, Oxford's MAT archive, and STEP past papers and the Cambridge STEP Support Programme), which students use where they are published. We never copy official questions into our materials. We are independent of UAT-UK, OCR and every university, and we make no promise of scores, offers or places.
What Makes This Program Different
- Built around the 2027 entry reality: TMUA for Oxford and Cambridge maths and computer science, with the Oxford MAT archive kept as practice
- Logic and proof taught directly for TMUA Paper 2: necessary and sufficient conditions, converses, counterexamples and finding the error in a proof
- No-calculator, no-formula-booklet fluency, so the mathematics is fast enough to leave time for thinking
- A STEP stage with full written solutions marked in detail, because OCR says marks may be lost if examiners cannot follow your working
- Original problems for every topic, plus the free official papers used where UAT-UK, Oxford, OCR and Cambridge publish them
- Honest about what preparation can do, quoting the universities' own advice, and never promising scores or offers
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Topics Covered
- The TMUA and STEP in 2026 to 2027, which universities use them and what each paper tests
- Why the Oxford MAT ended after 2025, and how its archive is still useful practice
- A diagnostic of our own across GCSE and AS pure content
- Indices, surds and rationalising denominators at speed
- Quadratics: completing the square, the discriminant and what it says about roots
- Starting an error log and a list of favourite techniques
Projects You Build
- A personal starting profile: target tests, target universities and ten solved warm-ups
Practice & Assignments
Short original problems where the obvious method is slow and a better idea exists
Topics Covered
- The factor and remainder theorems, and algebraic division
- Linear and quadratic inequalities, and inequalities with a parameter
- Sequences from a formula and from a recurrence relation
- Arithmetic and geometric series, and the sum to infinity
- Binomial expansion for positive integer powers
- Spotting structure: symmetry, substitution and a clever factorisation
Projects You Build
- Write and solve five original problems that each hide a factorisation
Practice & Assignments
Timed sets at under four minutes a question (our arithmetic: 75 minutes for 20 questions)
Assessment
Month 1 check: a timed set of original multiple-choice problems
Topics Covered
- Straight lines, parallel and perpendicular conditions
- Circles in both forms the specification lists, and the circle theorems
- Sine and cosine rules and the area of a triangle
- Trigonometric graphs, identities and equations in a given interval
- Exponentials and logarithms, and solving equations with them
- Sketching graphs quickly and reading information from a sketch
Projects You Build
- An original geometry pack where every answer starts from a careful sketch
Practice & Assignments
Graph-sketching drills: ten curves in ten minutes, checked in class
Topics Covered
- Differentiating polynomials and powers, tangents, normals and stationary points
- Increasing and decreasing functions and second derivatives
- Integration as the reverse of differentiation and as area
- Definite integrals and areas between a curve and an axis
- Using calculus to reason about a graph without drawing it precisely
- Mixed problems where algebra, geometry and calculus meet
Projects You Build
- A calculus problem set of our own with one written explanation per answer
Practice & Assignments
Mixed Paper 1 style sets of original problems, timed
Assessment
Phase 1 assessment: a timed 75-minute set of 20 original multiple-choice problems
Topics Covered
- True and false statements, and the words and, or (inclusive) and not
- If A then B, A if B, A only if B, and A if and only if B
- Necessary and sufficient conditions, and how to tell them apart
- The converse and the contrapositive, and which one is equivalent
- For all and there exists, and negating a statement with quantifiers
- Working through UAT-UK's free Notes on Logic and Proof alongside our own examples
Projects You Build
- A logic glossary written in the student's own words with one original example each
Practice & Assignments
Original statements to classify as true or false, each with a reason or a counterexample
Topics Covered
- Direct proof and proof by cases
- Proof by contradiction, including the irrationality of root 2 and the infinitude of primes
- Disproof by counterexample, and choosing a good counterexample
- Proof by induction, beyond the TMUA but needed later for STEP
- What makes an argument valid even when its conclusion is false
- Writing a proof so each line follows from the last
Projects You Build
- Five short proofs of original statements, each written up twice: once rough, once clean
Practice & Assignments
Paper 2 style multiple-choice reasoning problems of our own, timed
Assessment
Month 3 check: a timed reasoning set plus one written proof marked in detail
Topics Covered
- Dividing by something that might be zero
- Squaring both sides and gaining false solutions
- Assuming what was to be proved
- Arguments that check a few cases and claim them all
- Reversing an implication that only works one way
- Locating the first incorrect line in a flawed argument
Projects You Build
- Write three deliberately flawed proofs of our own design and swap them with a classmate to find the errors
Practice & Assignments
Error-finding problems of our own, each with the faulty line named and corrected
Topics Covered
- Pacing two 75-minute papers taken back to back
- When to move on, and why a guess is worth making when there is no penalty
- Elimination, checking options and testing special cases in multiple choice
- Using UAT-UK's free practice papers under timed conditions on UAT-UK's site
- Using Oxford's MAT archive for longer problem-solving practice
- Reviewing a paper: knowledge gap, method choice or slip
Projects You Build
- Two full timed TMUA-style papers of our own, each followed by a written review
Practice & Assignments
One official free practice paper worked under timed conditions, reviewed in class
Assessment
Phase 2 assessment: a full TMUA-style practice of two 75-minute papers of original problems
Topics Covered
- OCR's STEP format: 3 hours, 12 questions, each worth 20 marks, with the six highest-scoring answers counted
- STEP 2 built on A Level Maths and AS Further Maths pure content; STEP 3 on A Level Further Maths pure content, with OCR's additions
- Choosing questions in the first ten minutes
- Algebra and functions problems with several connected parts
- Inequalities proved, not just solved
- Using the earlier parts of a question to unlock the later parts
Projects You Build
- Two long original problems written up in full, then rewritten after detailed feedback
Practice & Assignments
One STEP-length problem per class, about 30 minutes each
Topics Covered
- Integration techniques: substitution, by parts and reduction formulae
- Differential equations in context
- Series, limits and careful approximation
- Complex numbers and their geometry for STEP 3
- Matrices and vectors as STEP uses them
- Formulae OCR says candidates are expected to know, which go beyond the A levels
Projects You Build
- A personal technique file: twelve methods, each with an original example
Practice & Assignments
STEP past papers worked from OCR's site and the Cambridge STEP Support Programme modules, reviewed in class
Assessment
Month 5 assessment: a timed 90-minute half paper of original STEP-style problems
Topics Covered
- Kinematics, forces and moments at STEP depth
- Energy, momentum and collisions
- Probability problems that need careful counting and conditional reasoning
- Distributions and expectation in multi-part questions
- Deciding whether an applied question suits you better than a pure one
- Writing an applied solution: diagram, assumptions, equations and a conclusion
Projects You Build
- Two applied problems of our own written up in full with diagrams
Practice & Assignments
Mixed long problems, one pure and one applied each week
Topics Covered
- Full 3-hour practice papers under exam conditions
- Clear, logical and legible working, as OCR's specification asks
- Final review of each student's error log
- OCR's 2027 dates: STEP 2 on 14 June 2027 and STEP 3 on 21 June 2027, with results on 12 August 2027
- Registering through your school or college between 1 March and 4 May 2027
- Moving on to university mathematics with good habits
Projects You Build
- A final full paper reviewed one to one with the teacher
Practice & Assignments
Light, steady problem practice in the last week before each paper
Assessment
Final assessment: a full timed STEP-style paper of original problems plus a short conversation about method choices
Projects You'll Build
Build a professional portfolio with A course of solved original problems, written proofs and full STEP-style solutions, reviewed official practice papers, an error log and a timed-paper history real-world projects.
Weekly Learning Structure
Certification & Recognition
Technologies & Skills You'll Master
Comprehensive coverage of the entire modern web development stack.
Support & Resources
Career Outcomes & Opportunities
Transform your career with industry-ready skills and job placement support.
Prerequisites
Who Is This Course For?
Career Paths After Completion
Course Guarantees
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What families say
Straight from the parents and students who learn with us. Rated 4.9 across 547 Google reviews.
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Hear it from our students
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Straight answers about TMUA and STEP Preparation (Oxford MAT Now TMUA)
- Who should take this course?
- Year 12 and Year 13 students (roughly ages 16 to 18) taking A Level Maths, ideally with Further Maths, who enjoy hard problems. Age: Roughly 16 to 18, in Year 12 or Year 13, or the equivalent in another system. It suits year 12 students planning to apply for mathematics, computer science or economics and expecting to sit the tmua in year 13; oxford and cambridge maths and computer science applicants, now sitting the tmua; year 13 students holding or expecting an offer that names step 2 or step 3.
- What will they learn and build?
- Two tests now sit at the centre of UK university admissions maths. The first is the Test of Mathematics for University Admission (TMUA), run by UAT-UK. Its content specification says "The test will consist of two 75 minute papers, taken one after the other.
- How deeply are topics covered?
- The course runs 6 months (24 weeks) per stage: a TMUA stage for Year 12 and early Year 13, and a STEP stage for Year 13 offer-holders; joinable any month at 2 live classes/week + weekly problem sets, written proofs and a monthly timed paper, across 3 phases listed week by week in the syllabus below.
- Who teaches it?
- Modern Age Coders mentors, who teach the live classes themselves. You can watch them at work in the free class recordings before you decide.
- How do practice, feedback and assessment work?
- Classwork in every session and homework after every class.
- What does it cost?
- Three monthly plans: a group batch, a mini batch and 1-on-1. Prices are shown in your currency in the plans section. Monthly billing, cancel any time.
- When can classes take place?
- Live classes are scheduled around your week. Group batches meet at a fixed weekly slot; 1-on-1 students choose their own. International students are scheduled in their own timezone. Ask on WhatsApp for the current slots.
- Can I watch the teaching before deciding?
- Yes. Full recordings of real 13 and up classes are free to watch, free with a Google sign-in. These recordings show how we teach, not the exact syllabus of this course. Some classes are in English and some in Hindi; everyone follows at their own pace. Watch a class end to end, like you are in it. Sessions are interactive and each moment builds on the last.
- Can I enroll without a live demo?
- Yes. Choose a plan on this page and enrol directly; a demo is not required. If you would like to see a full class with a mentor first, book a Priority Demo.
- How do I reach you with a question?
- WhatsApp +91 91233 66161, email connect@modernagecoders.com, or call +91 91233 66161. Tell us the student's age and what they have learned so far, and we will point you to the right plan and batch.
Common Questions About TMUA and STEP Preparation (Oxford MAT Now TMUA)
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