QCE Mathematical MethodsPractice Examination 10

This paper covers

• Unit 3 differentiation: chain, product and quotient rules on exponential, logarithmic and trigonometric functions
• Applications of differentiation: rates of change, kinematics, stationary points, concavity, points of inflection and optimisation
• Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, area under curves and between curves
• Discrete random variables: Bernoulli sequences, the binomial distribution, expected value and variance
• Continuous random variables and the normal distribution: z-score standardisation, technology probabilities and inverse normal (90th percentile delivery-time stimulus)
• Numerical integration via the trapezoidal rule and 2D/3D trigonometry (sine rule, cosine rule, bearings)
• Inferential statistics: sampling distribution of the sample proportion, confidence intervals, margin of error and sample size
• QCAA cognitions across Simple Familiar, Complex Familiar and Complex Unfamiliar bands with written contextual conclusions for evaluate/justify marks

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.