Excel at ESAT
Taught by a Cambridge scholar. For students at every stage of preparation.
Your tutor
Dr Leonardo Pierobon
Senior Scholar of Trinity College, University of Cambridge · Natural Sciences graduate · PhD in Nanomagnetism
I help students gain admission to top 10 UK universities, including Oxbridge, with 100% success rate. My approach goes beyond traditional tutoring, supporting students throughout the admissions process while developing their critical thinking and communication skills. I designed this course to build the problem-solving skills and confidence needed to excel under the intense time pressure of the ESAT.
Who is this course for?
For ambitious students at any stage of preparation
- Starting now? You do not need to have completed any prior ESAT preparation.
- Already revising? The course will push you towards faster, more strategic problem solving.
Small groups matter. Each course is adjusted to your needs based on your questions and feedback.
Everything you need to maximize your performance:
- Learn content and exam strategy shaped by years of admissions experience
- Improve time management
- Avoid common traps and careless mistakes
- Get targeted homework with personal feedback
Your 3-day course includes
9 hours of interactive online teaching in a small group of only 6-8 students with plenty of opportunity to ask questions and receive support.
Preparation materials, including focused worksheets and challenging problems designed to strengthen your ESAT problem-solving skills.
6 hours of personal feedback by your tutor, with detailed marking of your homework to identify weaknesses and advice to help you improve.
Course structure
Daily schedule
Course content
What you’ll cover
Choose Mathematics, Physics or a combined course covering both subjects.
ESAT Mathematics
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Lesson 1 · Algebra & efficient manipulation
Exponents, logarithms, surds, equations and inequalities. Faster algebraic manipulation, simplification and recognising efficient routes through calculations. -
Lesson 2 · Functions, graphs & transformations
Functions, transformations, inverse and composite functions and graphical interpretation. Recognising familiar structures and moving efficiently between algebra and graphs. -
Lesson 3 · Geometry & trigonometric reasoning
Geometry, trigonometry, the unit circle, trigonometric equations and identities. Breaking complex diagrams into simpler parts and identifying the right relationships to use. -
Lesson 4 · Calculus, vectors & applications
Differentiation, integration, rates of change, vectors and applications to mechanics. Translating geometric and physical situations into mathematics and solving them efficiently. -
Lesson 5 · Probability & unfamiliar problems
Probability, statistics and mixed problems. Organising information, working backwards, testing cases and breaking unfamiliar questions into manageable steps. -
Lesson 6 · Bringing it together
Mixed ESAT problems, time management, question selection, estimation and elimination, avoiding careless mistakes and overall exam strategy.
ESAT Physics
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Lesson 1 · Mechanics & modelling
Motion, forces, momentum and energy. Turning complex physical situations into simple models, choosing the right equations and combining them efficiently. -
Lesson 2 · Electricity & circuit reasoning
Electrical quantities, power and circuits. Simplifying unfamiliar circuits, spotting cancellations and useful ratios, and avoiding unnecessary calculations. -
Lesson 3 · Waves & proportional thinking
Wave properties and phenomena. Using proportionality, graphs and algebraic relationships to predict how systems behave without calculating everything from scratch. -
Lesson 4 · Matter, thermal physics & estimation
Matter, pressure, temperature and thermal processes. Estimation, orders of magnitude, units, scientific notation and checking whether answers are physically sensible. -
Lesson 5 · Electromagnetism & unfamiliar problems
Electromagnetism, atomic physics and radioactivity. Breaking unfamiliar problems into simpler steps, combining equations efficiently, working backwards and spotting shortcuts. -
Lesson 6 · Bringing it together
Mixed ESAT problems, fast calculation and algebraic manipulation, time management, question selection, estimation and elimination, avoiding careless mistakes and overall exam strategy.
Mathematics + Physics
Please note: The combined course is designed for students who want preparation across both Mathematics and Physics. As the six live lessons are divided between both subjects, it is necessarily more selective than either dedicated course, focusing on the highest-value topics and problem-solving techniques. Targeted homework is used to extend coverage.
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Lesson 1 · Mathematics: Algebra, functions & graphs
Exponents, logarithms, surds, equations, functions and transformations. Faster algebraic manipulation, simplification and recognising useful structures. -
Lesson 2 · Physics: Mechanics & thermal physics
Motion, forces, momentum, energy, pressure and thermal processes. Building simple physical models, combining equations and using estimation to check answers. -
Lesson 3 · Mathematics: Geometry, trigonometry & calculus
Geometry, trigonometric reasoning, differentiation and integration. Breaking complex problems into simpler parts and applying mathematical tools efficiently. -
Lesson 4 · Physics: Electricity, waves & electromagnetism
Circuits, wave phenomena and electromagnetism. Using ratios, proportionality, cancellations and algebraic shortcuts to avoid unnecessary calculation. -
Lesson 5 · Mathematics + Physics: Broader problem solving
Probability, statistics and vectors alongside atomic and nuclear physics. Working backwards, combining information and applying familiar principles in unfamiliar situations. -
Lesson 6 · Bringing it together
Mixed Mathematics and Physics problems, time management, question selection, fast calculation, estimation and elimination, avoiding careless mistakes and overall exam strategy.
Ready to prepare for the ESAT?
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