QCE Mathematical MethodsPractice Examination 11

This paper covers

• Differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules)
• Applications of differentiation: rates of change, kinematics, stationary points, optimisation
• Integration: antidifferentiation, reverse chain rule, definite integrals, area under and between curves, trapezoidal rule
• Discrete random variables: Bernoulli sequences, binomial distribution, expected value
• Continuous random variables and the normal distribution: z-scores, technology probabilities, inverse normal
• Sampling distribution of the sample proportion and confidence intervals for a population proportion (margin of error, sample size)
• 2D/3D trigonometry: sine rule, cosine rule, bearings
• Tennis-ball lifespan context: defect probabilities, warranty determination and evaluation of a marketing reliability claim with written contextual conclusions

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.