HSC Mathematics Extension 2Practice Examination 9

This paper covers

• Complex numbers — square roots, De Moivre & multiple-angle identities, roots of unity, Apollonius loci, roots of z³ = −8i — ~27 marks
• Further integration — partial fractions, completing the square, by-parts & xⁿeˣ reduction — ~20 marks
• Proof, vectors & mechanics — induction (divisibility/sigma), 3D lines & spheres, SHM, resisted vertical & linear motion, AM–GM and symmetric inequalities — ~53 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.