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Mathematics

We develop mathematical thinkers through deep, structured training — building logic, creativity, and confidence from Primary all the way to Senior level. Our Olympiad approach goes far beyond the classroom syllabus.

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The Mathematics pathway

PrimaryJuniorIntermediateSenior
Ages 16–18 · Years 12–13

University preparation and elite competition

Senior students push into the most challenging territory: A-Level excellence, BMO preparation, and the university entrance exams that define academic futures. We build the independent problem-solving mindset needed for STEP, MAT and beyond.

What we cover

  • A-Level Maths and Further Maths
  • Real analysis foundations
  • Advanced combinatorics
  • Coordinate geometry and complex numbers
  • STEP and MAT problem-solving strategies

Competitions & exams we prepare for in United Kingdom

  • Senior Mathematical Challenge — SMC (UK)
  • British Mathematical Olympiad — BMO (UK)
  • STEP · MAT · TMUA (UK university admissions)
  • Mathematical Olympiad for Girls — MOG (UK)

Topics we explore

Morley's TriangleView on ProblemsExact Opponent AttacksTwo-colour chess placement problems where each piece must attack exactly a fixed number of opponent pieces.View on ProblemsExtreme PrincipleView on ProblemsFlying Rook CyclesA flying rook moves like a rook but each move has length at least 2. Build a Hamiltonian cycle on 4x4 up to 8x8 boards.View on ProblemsInduction PrincipleThe Induction Principle is of great importance in discrete mathematics: Number Theory, Graph Theory, Enumerative Combinatorics, Combinatorial Geometry, and other subjects. Usually one proves the validity of a relationship f(n) = g(n) if one has a guess from small values of n.View on ProblemsInvariant PrincipleView on ProblemsMaximum and MinimumView on ProblemsMethod of ColouringA colouring proof is a sort of invariant proof which can mainly be used to prove that something isn’t possible. The essence of invariant proofs is to strip the problem of any unnecessary details and only keep the information that best describes why something isn’t possible, making it very easy to follow invariant proofs.View on ProblemsSeven Bridges of KönigsbergView on Problems

Courses in Mathematics

Olympiad Mathematics
MathematicsAge 8+

Olympiad Mathematics

Join our Olympiad Maths training for ambitious students. Build skills in key topics like algebra, geometry, and combinatorics while practising with real past papers and simulated challenges.

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Curriculum Mathematics
MathematicsAge 8+

Curriculum Mathematics

A complete maths course for exam success. Strengthen core skills, tackle advanced topics, and prepare for school, GCSE, or A-Level maths exams with confidence.

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Introduction to Financial Mathematics
MathematicsAge 16+

Introduction to Financial Mathematics

Financial Mathematics is a course that teaches students the mathematical principles and techniques needed to understand and analyze financial data. It is an essential subject for anyone interested in pursuing a career in finance or economics, as it helps students develop skills in problem-solving, critical thinking, and data analysis.

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Articles

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