1. Trigonometry: Sine Rule, ambiguous SSA case, angle derivation in non-right triangles 2. Arithmetic series: nth term and sum formula, solving inequalities involving series terms 3. Vectors: magnitude, direction, unit vector, parallel condition, scalar multiplication 4. Polynomial roots: substitution, factor theorem, solving cubics, estimating decimal root 5. Coordinate geometry: midpoint, gradient, perpendicular lines, axis intersection, linear equations