IMC Key Stage 3 · 1. Algebraic manipulation, equations and word problems
Spot identities before expanding, build clean equations from a story and combine them, and use Vieta's formulas and polynomial roots instead of heavy computation.
IMC Key Stage 3 – Selected topics
Use difference of squares, squares of sums and the "add 1" factorisation to simplify calculations.
Translate a word problem into equations with clear unknowns and consistent units.
Combine whole equations to reach the asked quantity directly.
Apply Vieta's formulas, lowering of powers and the factor theorem to polynomial problems.