Maths Extension 1 study guides
Deep Maths Extension 1 guides for Higher School Certificate students, each with a paired practice quiz. Aligned to NESA.
A complete deep dive into the binomial theorem and combinatorics for HSC Mathematics Extension 1. Counting principles, permutations, combinations, the binomial theorem in full, Pascal's triangle, standard exam techniques (general term, independent term, sum identities), and an embedded practice question set with full solutions.
A complete deep dive into mathematical induction for HSC Mathematics Extension 1. The principle, the four-part structure, fully worked walkthroughs of all three flavours (series, divisibility, inequalities), the standard exam traps, and an embedded practice question set with full solutions.
A complete deep dive into vectors for HSC Mathematics Extension 1. Vector arithmetic, magnitude and unit vectors, the scalar product, projections, parametric vector equations of lines, geometric proofs, and an embedded practice question set with full solutions.
What changes in HSC Mathematics Extension 1 from the 2027 HSC: the new focus areas, 3D vectors and the central limit theorem coming in, the t-formulae, products to sums, the pigeonhole principle and sample proportions going out, content moved into Year 12, the new assessment rules and the exam.