QCE Mathematical MethodsPractice Examination 12

This paper covers

• Differentiation: chain, product and quotient rules on exponential, logarithmic and trigonometric functions (Unit 3)
• Applications of differentiation: stationary points, inflections, concavity, kinematics and optimisation
• Integration: standard antiderivatives, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Discrete random variables: Bernoulli sequences, 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
• 2D/3D trigonometry: sine rule, cosine rule and bearings
• Complex Unfamiliar synthesis with written contextual conclusions, applied to a rural-intersection road-safety reaction-time study

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.