HSC Mathematics Extension 2Practice Examination 14

This paper covers

• Complex numbers — quadratics with complex coefficients, real polynomials with conjugate roots, roots of unity sum identity, ray/half-plane regions — ~30 marks
• Further integration & proof — trig substitution x = a sinθ, partial fractions with irreducible quadratic, induction (sigma & divisibility), AM–GM and triangle inequality — ~36 marks
• Vectors & mechanics — spheres & tangency, vector proof of a geometric theorem, horizontal resisted motion, projectile range on an incline — ~34 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.