QCE Mathematical MethodsPractice Examination 9

This paper covers

• Differentiation of trigonometric, exponential and logarithmic functions via chain, product and quotient rules
• Applications of differentiation: rates of change, kinematics, stationary points, concavity, inflection and optimisation
• Antidifferentiation, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Sinusoidal modelling of Brisbane daily maximum temperature (amplitude, period, phase, interpretation)
• Discrete random variables: Bernoulli sequences, the binomial distribution, expected value and variance
• Continuous random variables and the normal distribution: z-scores, technology probabilities and inverse normal
• Inferential statistics: sampling distribution of the sample proportion, confidence intervals, margin of error and sample size
• Two- and three-dimensional trigonometry: sine rule, cosine rule and bearings
• Written contextual conclusions, correct QCAA notation and evaluation of reasonableness

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.