QCE Mathematical MethodsPractice Examination 20

This paper covers

• Differentiation (power, product, chain, quotient rules; logarithmic and exponential derivatives)
• Anti-differentiation and definite integrals (area under curves, area between curves, average value)
• Optimisation using calculus (open-top box, minimum-surface-area cylindrical can/container, maximum profit)
• Stationary points and their classification (first/second derivative tests)
• Exponential and logarithmic equations (technology-free index laws and technology-active log solving)
• Trigonometric functions, equations and periodic modelling
• The normal distribution (probabilities, inverse-normal percentiles, finding an unknown standard deviation) in a quality-control context
• Binomial distribution (mean, exact probabilities, cumulative probabilities)
• Sample proportions and approximate confidence-interval margin of error
• Kinematics and rates of change (displacement vs distance, draining-tank rate)

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.