VCE Specialist MathematicsPractice Examination 13

This paper covers

• Logic, proof & complex numbers (contradiction on irrationality, proof by cases, De Moivre identity, factorisation over C) — ~14 marks
• By-hand calculus (implicit differentiation, partial-fraction integration, arc length, separable DE) — ~16 marks
• Vectors & rational graphs (scalar-resolute proof, vector geometry, quotient-function asymptotes) — ~10 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.