Subject
Geometry
Geometry is at the heart of our teaching philosophy. Spatial reasoning develops the visual intuition that makes every branch of mathematics more accessible. We teach geometry deeply — not as a collection of formulas, but as a system of logical relationships.
The Geometry pathway
Ages 16–18 · Years 12–13
Advanced Euclidean and projective geometry
Senior geometry training covers the advanced results seen in national and international Olympiads: power of a point, radical axes, projective transformations and inversions. A deep grounding here is invaluable for BMO and beyond.
What we cover
- Power of a point and radical axes
- Projective geometry fundamentals
- Inversions and Möbius transformations
- Advanced trigonometric identities
- Synthetic vs analytic proof strategies
Competitions & exams we prepare for in United Kingdom
- British Mathematical Olympiad (BMO1 & BMO2)
- Mathematical Olympiad for Girls (MOG)
- Senior Mathematical Challenge
- International Mathematical Olympiad (IMO) preparation
Topics we explore
Exact Opponent AttacksTwo-colour chess placement problems where each piece must attack exactly a fixed number of opponent pieces.View 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 ProblemsSeven Bridges of KönigsbergView on ProblemsMorley's TriangleView on Problems
Courses in Geometry
Articles
All geometry posts →
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