QCE Specialist MathematicsPractice Examination 17

This paper covers

• Paper 1 (technology-free): De Moivre's theorem, conjugate root theorem, 3D vectors (dot/cross products, planes, distance), inverse-trig and partial-fraction integration, integration by parts, separable DEs, implicit differentiation, mathematical induction, and Gaussian elimination — all hand-computable.
• Paper 2 (technology-active): Gaussian elimination for the intersection of two planar ore seams and a drill line (geology/mining stimulus), volumes of revolution, related rates, Newton's law of cooling, simple harmonic motion, circular motion, area between curves, and statistical inference (sampling distribution, 95% CI for μ, sample size).
• QCAA EA marks-based standard across five assessment objectives (Select; Recall & use; Apply; Analyse & reason; Communicate) at simple familiar (~60%), complex familiar (~20%) and complex unfamiliar (~20%) levels, 120 marks total (Paper 1 = 60, Paper 2 = 60).

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.