HSC Mathematics Extension 1Practice Examination 5

This paper covers

• Applications of Calculus (Newton's law of cooling modelling, related rates, areas/volumes, SHM) — the paper's emphasis
• Proof by Mathematical Induction (divisibility)
• Vectors (dot product, angle, scalar/vector projection)
• Trigonometric Equations (quadratic-in-sin, auxiliary R cos(x-a) form)
• The Binomial Distribution (exact probabilities, mean/variance, normal approximation to a sample proportion)

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.