Maths Summer Course in Cambridge

Welcome to Bucksmore's Pre-University Preparation Maths summer course in the UK.

This programme prepares students to excel in their chosen subjects within the highly competitive higher education environment. Students will be taught Mathematics at a first-year undergraduate level within a prestigious Cambridge University setting.

Students will develop key skills for success by learning from expert tutors and immersing themselves within a UK university environment.

Course start datesJuly 7, 2026
Duration2 weeks
Minimum English level B2 (Upper Intermediate)
Ages 15 to 17 years old
Class size 12
Hours per week 23
Certificates
- 8 UCAS Tariff Points
- Personalised report card
- Bucksmore Letter of Recommendation
- Bucksmore certification
LocationSt Catharine's Cambridge
Fully inclusive price £3,195 per week

The Bucksmore Maths course experience

This course offers the ultimate University experience through expert tuition and super curricular workshops.

You will get to experience life as an Cambridge University student throughout your stay with us, whether you are attending guest lectures from inspiring speakers, in aspirational lecture halls and auditoriums, graduating in a formal hall, or waking up in your University accommodation.

Safe and secure University campus location close to Cambridge city centre.

An international home-from-home in a nurturing and safe environment.

Students are eligible to be awarded 8 UCAS tariff points on this programme

Small international groups and world-class teaching.

Separate male and female accommodation on site.

Simple and all inclusive pricing including complimentary airport transfers. No hidden extras.

2 full-day and 1 half-day excursion per week to fun and varied attractions.

What is a Maths course?

The Pre-University Mathematics course (or 'math summer course' if you're used to US English!) at Bucksmore is designed to introduce students to advanced mathematical concepts and prepare them for university-level study at a British University.

Through workshops, problem-solving sessions, and collaborative projects, students will sharpen their logical reasoning, proof-writing, and analytical skills while applying mathematics to real-world and theoretical contexts.

Students live on campus and take part in excursions around Cambridge and top UK destinations, ensuring a well-rounded learning experience that blends academic study with real-world applications.

This course is for you if:

You have an advanced or native level of English
You want to study at a UK university and learn about undergraduate life
You are motivated with a keen interest in mathematics
You want to support your application into the top UK universities

Download our Course Overview for more details.

The Course in Detail

Mathematics underpins a vast range of academic and professional fields, from physics and engineering to computer science and economics. This course provides a balance of pure and applied mathematics, offering students the chance to develop both technical fluency and creative problem-solving skills.

Over two weeks, students will explore algebra, calculus, vectors, probability, and number theory, while also working with differential equations, modelling, and statistics. The emphasis is on mathematical discovery—developing curiosity, resilience, and a toolkit of strategies to tackle complex challenges.

Key Subject Areas

Mathematical Foundations: Logic, algebra, vectors, and proof-writing, including techniques such as induction, contradiction, and invariants.
Calculus & Modelling: Differentiation from first principles, integration as accumulation, and the use of calculus to model change in physics, biology, and economics.
Number Theory & Algorithms: Prime numbers, modular arithmetic, divisibility, the Euclidean Algorithm, and the Chinese Remainder Theorem.
Probability & Statistics: Conditional probability, Bayes’ Theorem, distributions, expected value, variance, and statistical modelling.
Differential Equations: Using first-order equations and integration techniques to model systems like cooling, motion, and exponential decay.
Combinatorics & Logic: Strategic reasoning, permutations, combinations, factorials, and the application of logic to problem-solving.

Example Lessons

Proof and Paradox: How Do We Know Something is True?
From Particles to Planets: Modelling Motion with Differential Equations
Probability in Action: Bayes’ Theorem and Real-World Uncertainty
Prime Mysteries: From Euclid to Cryptography
Mathematics and Machines: Algorithms in the Age of AI

Final Outcome

By the end of the course, students will:

Master core strategies for tackling complex mathematical problems.
Construct and evaluate rigorous proofs across different topics.
Apply calculus, vectors, and matrices to real-world scenarios.
Use probability, statistics, and differential equations to model uncertainty and change.
Build confidence, curiosity, and resilience as independent mathematical thinkers.

Two students seated in the classroom smile and look at an unseen speaker.

Guest lectures and other academic events

Guest Lectures and Workshops

Each week, you will attend a Guest Lecture by a renowned scholar or professional who shares their expertise and insight. Lectures topics often include sharing cutting-edge research, a discussion of current events, or exploring the future of one area of academic study.

Formal Hall and Graduation

You will receive your graduation certificates and experience a traditional formal dinner at the University. This event celebrates the end of your summer academic journey, recognizing all the hard work and dedication you’ve put in.

It’s a moment to reflect on the challenges you’ve overcome, the friendships you’ve made, and to look forward to the future.

University Preparation Masterclasses

These sessions help build essential skills for successful entrance to universities. You will participate in masterclasses designed to connect your skills, strengths and interests to potential careers.

You will gain insights into the various types of universities and acquire a comprehensive understanding of the full application cycle for UK universities, including detailed guidance on structuring a personal statement

Small Group Tutorials

Teaching on the Pre-University Programme mirrors Oxbridge university learning in many ways, including your participation in small group tutorials.

The tutorials are a key educational strategy that reflects the active, student-centered learning model of Bucksmore Education. This method encourages active exploration and autonomous learning whilst facilitating peer collaboration and team building.

Debate Society

Debate Societies are an integral part of university life. Debate sessions give you a chance to explore and discuss a range of topics you are passionate about, outside of the subjects you are studying.

Debating encourages you to develop strong critical thinking and analytical skills, plus building teamwork, leadership and communication skills.

Our Students

My favorite part of the programme was getting to know everyone and making new friendships. I also loved getting to see the UK and experimenting life here helping me in my devotion to possibly come and study here for university.

Valeria, Colombia

Learning and being here is very nice because it is a totally different way of learning things. The staff are very supportive and make you feel very welcome here.

Max, Sweden

Your home from home

You'll be staying in St Catharine's College, a welcoming campus which is part of the University of Cambridge, located in the heart of the historic city centre. The college's traditional courts and tranquil gardens provide a picturesque backdrop for studying, with modern facilities and easy access to Cambridge’s shops, cafés, and iconic sights.

Keeping you safe in Cambridge

A summer residential camp in Cambridge is an exciting prospect, but you also need to know that you’ll be looked after from the moment you arrive in the UK. Here are just some of the ways that we ensure your time with us is a safe and enjoyable experience.

Private airport lounge at Heathrow Airport and a personal welcome when you arrive.

All centre staff have completed compulsory safeguarding training and background checks.

24-hour security on campus.

At least 2 first-aid trained members of staff on site.

On-site management team available 24 hours a day.

MyConcern phone app for staff to report if they have any worries at any time.

Do you need any help?

If you have any questions, you can send us a message, book a call with us or, if you’re ready to proceed, you can apply now.

Send Us a Message

Book a Call

Apply

Our Teachers

Our teachers are selected to replicate the premium educational experiences of top UK universities and boarding schools. They also know how to take learning and teaching outside the classroom and see every input and experience as an opportunity to learn and grow.

Here are some examples of the teachers you might meet on this programme:

A head and shoulders picture of Pre-university preparation tutor and lecturer Justin Raey.

Justin Reay

CertFAET DipHistA (Oxon), FSA FRHistS

Justin Reay studied History of Art and Architecture at the University of Oxford and researched his doctoral thesis on medieval naval history with the University of Exeter. Justin was invited by University of Oxford to tutor the University’s international programmes and became a senior academic manager for the Bodleian Library. A qualified teacher, Justin tutors in art history, classical studies, critical thinking and academic writing, and has taught with Bucksmore for the last 10 years.

A head and shoulders picture of Roald, one of the course tutors.

Roald Morgan

BA HONS AND MA (OXON.)

Roald has been a teacher in the UK and Spain for over 30 years. He currently teaches A-level Economics, Business Studies and History at an independent school in Oxford.

He has also lectured for postgraduate courses in International Marketing at Murcia University, Spain and worked for Oxford University by providing consultancy services in the field of economics.

Excursions

The Bucksmore Pre-University Preparation course in Cambridge includes 2 full-day and 1 half-day excursion per week. You can see a selection of excursions options below and an example two-week programme.

London: Natural History Museum & Kensington Palace

The world-famous Natural History Museum is a centre for research and exploration into a vast range of specimens from various segments of natural history.

You will also visit Kensington Palace, a royal residence since the 17th century. Explore the state rooms open to the public in this historic building.

Windsor

Visit the oldest and largest occupied castle in the world, home to 1,000 years of royal history.

Then explore the rich history of Windsor including visits to the Theatre Royal, Eton College, and time for shopping.

Oxford: Museum of Oxford

On this half-day excursion you will visit the only museum all about Oxford. The Museum tells the story of Oxford and its people through a range of social history objects and interactive displays.

Thames River Boat Cruise & Royal Museums Greenwich

Step aboard a cruise to Greenwich via the River Thames, taking in some of London’s world-famous sights along the way.

After lunch, you will explore the Cutty Sark, a historic sailing ship which was the fastest of its time!

Thorpe Park

Thorpe Park is a theme park located in Surrey, England with over 30 rides, attractions and live events.

You will be able to experience record-breaking roller coasters, water rides, and seasonal events alongside your new friends!

Cambridge

Visit Cambridge and experience its historic waterways via a punting trip on the River Cam.

You will also have time to explore one of the 31 Colleges that make up the University of Cambridge – King’s College – founded by King Henry VI in 1441.

The Pre-University Preparation Mathematics course timetable

The Bucksmore Pre-University Preparation courses are designed as two week programmes to ensure you see improvement in your chosen specialist subject. Whether you decide to select a two or four week option we will have different and varied excursions each week.

Example Timetable

Week 1

Times	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday	Monday
07:45-08:30	Breakfast
08:45-13:00	Arrivals	Subject Tutorials	Excursion: London Royal & Politics Walking Tour	Subject Tutorials	Subject Tutorials	Excursion: Thorpe Park	Subject Tutorials
13:00-14:00	Lunch
14:00-17:15	Arrivals Activity	Excursion: Fitzwilliam Museum	Excursion: London Buckingham Palace State Rooms	University Masterclass	University Masterclass	Excursion: Thorpe Park	Debate Society
18:00-19:00	Dinner
19:00-21:00	Welcome games	Guest Lecture Series	Activity: Sports or Arts and Crafts	Activity: Mini Olympics	Project Presentations	Activity: Movie Night	End of Week Party

Week 2

Times	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday	Monday
07:45-08:30	Breakfast
08:45-13:00	Arrivals Lazy Tuesday	Subject Tutorials	Excursion: Oxford Ashmolean Museum	Subject Tutorials	Subject Tutorials	Excursion: Thames River Boat Cruise & Royal Museums Greenwich	Subject Tutorials
13:00-14:00	Lunch
14:00-17:15	Arrivals Activity / Private Study Time	Excursion: Cambridge Walking Tour	Excursion: Oxford Punting	University Masterclass	Essay Preparation	Excursion: Thames River Boat Cruise & Royal Museums Greenwich	University Masterclass
18:00-19:00	Dinner
19:00-21:00	Activity: Arts and Crafts	Oxford Lecture Series	Activity: Pamper Club	Activity: Talent Show	Activity: Sports	Project Presentations	Formal Hall Graduation and Party

Do you need more information? Take a look at our Mathematics – Full Programme Details.

Travel and transfers

The moment you touch down in the UK, you’ll be looked after by Bucksmore staff. At the arrivals gate you’ll be met by one of our representatives and be escorted to your complimentary transfer or exclusive airport lounge (Heathrow only) to wait for your transfer.

If you’re using an airline unaccompanied minor service, you’ll be accompanied by airport staff to the Bucksmore representative on arrival, and we’ll also assist you on departure and wait with you until handed over to airport staff for your flight home.

See more details about arrivals and departures.

Got questions? We have answers.

We have selected some of our most commonly asked questions. See if they address what's on your mind.

And if not… Send Us a Message or Book a Call

Yes! You will explore different fields including linear, abstract, and communicative. Lessons may include topics such as:

Polynomials, exponentials and logarithms, including sketching and transforming their curves and using them to solve problems.
Vectors: their use in two and three dimensions, their various products and their usage in physics.
Matrices: manipulating them and using them to describe transformations and solve linear equations.
Differentiation: its meaning and role in explaining rates of change of functions, and its definition and calculation.
Integration: its role as the inverse operation to differentiation and its interpretation in calculating areas and volumes.
Differential equations: introduction to several types and the way these are solved, including the role of boundary conditions.

We can look at probability and statistics through a variety of topics, which may include:

Statistical modelling, including its limitations. Explore how to describe data in terms of ‘centre’ and ‘spread.’
Correlation and regression: why straight lines are so important and how to get the best fit line to our data.
Probability: Venn diagrams, tree diagrams and theoretical probability; combinatorics and calculation of chance.
Discrete and continuous random variables: basic statistical measures.
The normal distribution: working with the normal curve; the central limit theorem.
Sampling: how to choose a representative sample from a population and how to deal with bias.
Hypothesis testing: how to find out if the data support a hypothesis or not. The importance of confidence intervals.

Yes, you can attend as a day student. We would recommend our residential options as a great way to meet other students and get involved in all the activities, but we understand that sometimes a day camp may be the best option. It would be the responsibility of the parent or guardian to bring students to the camp each day before the first lesson of the day. The price for day students will be quoted at a discounted rate, please contact us for more information.

Everything is included in the price, from the moment you arrive to the moment you leave. When you book onto a Bucksmore course, your accommodation, food (three meals a day and packed lunch on excursion days), tuition and academic materials, activity fees, entrance costs to excursions, insurance and UK airport transfers (conditions apply) are included as part of your course fees. Flights and visa costs are not included.

Yes, you can keep your phone with you however you can't use it during lessons and activities where you are engaging with other students. Sometimes you'll use you phones to research information for projects during class time, in which case it would be supervised and you will need to follow the teacher's instructions. Of course, for a lot of the time, we'll expect your phones to be away so we can concentrate on speaking, discussing, laughing and having device-free fun in English!

Yes! The skills and experiences you gain will strengthen your university applications, particularly for subjects related to your course. You'll also receive guidance on how to present your Bucksmore experience in personal statements or interviews. This programme also makes students eligible to be awarded 8 UCAS tariff points to assist with university applications. So if you needed one more reason to apply, you now have 8!

Apply to reserve your place

Our online application process takes around 5 minutes to complete. You will need to enter the details of the student, including their passport number and current school. It's also important that we gather parents and guardians information as well.

To reserve a space on this course, a £500 reservation fee is required, payable by credit card or online bank transfer. See our cancellation and refund policy. Upon completion of your application, we can provide pre-enrolment documents including a visa support letter.

Apply Now