QCE Mathematical MethodsPractice Examination 1

This paper covers

• Unit 3 differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules)
• Applications of differentiation: instantaneous rate of change, kinematics, stationary points, second-derivative test, optimisation
• Introduction to integration: antidifferentiation, reverse chain rule, definite integrals and signed area
• Discrete random variables: Bernoulli sequences, binomial distribution and expected value
• Unit 4 further integration: area between curves and numerical integration (trapezoidal rule)
• Trigonometry: sine rule, cosine rule, bearings and 2D/3D problems
• Continuous random variables and the normal distribution: z-scores, technology-based probabilities and inverse normal
• Inferential statistics: sampling distribution of the sample proportion, confidence intervals, margin of error and sample size
• Real-world modelling of an exponential population for a Queensland coastal marine species, with written contextual conclusions in Complex Unfamiliar items

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.