HSC Mathematics Extension 1Practice Examination 18

This paper covers

• The Binomial Distribution (emphasis - 21/60 marks): Bernoulli trials, P(X=k)=C(n,k)p^k q^(n-k), mean np and sd √(npq), most likely value, normal approximation and sample proportions
• Proof by Mathematical Induction: divisibility and series-sum proofs with rigorous inductive step
• Vectors: scalar (dot) product, projection, perpendicularity, geometry proofs and projectile motion
• Trigonometric Equations: auxiliary-angle method and double-angle factorisation over a given domain
• Further Calculus Skills & Applications of Calculus: integration by substitution, inverse-trig integrals, related rates, volumes of revolution, exponential growth

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.