QCE Mathematical MethodsPractice Examination 14

This paper covers

• Unit 3 Further Calculus: chain/product/quotient differentiation of exponential, logarithmic and trigonometric functions
• Applications of differentiation: rates of change, kinematics, stationary points, optimisation
• Introduction to integration: antidifferentiation, reverse chain rule, definite integrals and area
• Discrete random variables: Bernoulli sequences, binomial distribution, expected value
• Unit 4 integration extended: signed area, area between curves, trapezoidal rule
• 2D and 3D trigonometry: sine rule, cosine rule, bearings
• Continuous random variables and the normal distribution: z-scores, technology probabilities, inverse normal
• Inferential statistics: sampling distribution of sample proportion, confidence intervals, margin of error, sample size
• Stimulus context: exponential growth model of cumulative animal sightings, maximum/minimum rates via differentiation
• Complex Unfamiliar synthesis with written contextual conclusions and correct QCAA notation

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.