QCE Mathematical MethodsPractice Examination 18

This paper covers

• Unit 3 differentiation: chain, product and quotient rules for exponential, logarithmic and trigonometric functions
• Applications of differentiation: kinematics, stationary points, concavity, optimisation and curve analysis
• Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, area under curves and area between curves
• Discrete random variables: Bernoulli sequences, binomial distribution, expected value and variance
• Unit 4 trigonometry: sine rule, cosine rule, area of a triangle and bearings
• 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
• Train kinematics context: piecewise velocity models, integration for displacement, acceleration analysis and evaluation of a timetable claim
• Numerical integration via the trapezoidal rule
• Written contextual conclusions, QCAA notation and evaluation of reasonableness across Complex Familiar and Complex Unfamiliar tasks

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.