QCE Mathematical MethodsPractice Examination 16

This paper covers

• Inferential statistics: sampling distribution of the sample proportion, margin of error, sample-size determination (n = z²p(1−p)/E²), and confidence intervals for a population proportion with precise written interpretation
• Further calculus: chain, product and quotient rules on exponential, logarithmic and trigonometric functions; stationary points, concavity, points of inflection and optimisation
• Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, signed area, area between curves and the trapezoidal rule
• Kinematics: displacement, velocity and acceleration via differentiation and integration, including distance travelled with sign changes
• Discrete random variables: Bernoulli sequences, the binomial distribution, expected value and variance
• Continuous random variables: the normal distribution, z-score standardisation, technology-based probabilities and inverse normal
• Two- and three-dimensional trigonometry: sine rule, cosine rule, area rule and bearings
• Complex Unfamiliar synthesis with written contextual conclusions linking numerical results to the Queensland study-habits survey context

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.