HSC Mathematics Extension 2Practice Examination 7

This paper covers

• Complex numbers — De Moivre powers, square roots of a + ib, conjugate-root polynomials, loci & regions, geometry of iz — ~32 marks
• Further integration — t-substitution, trig substitution, parts (x arctan x), partial fractions with a repeated factor, reduction by parts — ~28 marks
• Proof, vectors & mechanics — contradiction with a sum, induction (inequality & calculus), 3D lines & spheres, resisted horizontal motion, SHM from a graph, projectile through two points — ~40 marks

Students are permitted to bring into the examination the materials normally allowed for this subject. Answer all questions in the spaces provided.

This is an ATARMAxxing practice paper. It is not an official examination and is not affiliated with, endorsed by, or produced by the VCAA, NESA or the QCAA.