Competition studio
A parallel strand for problem solvers
Competition work runs alongside the main courses and is never required before Calculus. Selected Loney trigonometry and geometry supports it, but does not replace these four strands.
Planned
Stages
- Stage 1
Junior reasoning
Careful reading, small cases and explaining why an answer must be right.
- Stage 2
Intermediate problem solving
Contest-style problems that reward strategy over memorised technique.
- Stage 3
Advanced short answer
Harder problems with exact answers and multiple solution routes.
- Stage 4
Proof and Olympiad seminar
Written proofs, counterexamples and partial-credit feedback.
Strands
- Number theory
- Divisibility, congruences, Diophantine arguments
- Combinatorics
- Counting, the pigeonhole principle, invariants
- Algebra
- Inequalities, polynomials, functional reasoning
- Geometry
- Synthetic and coordinate proof