QCE Mathematical MethodsPractice Examination 13

This paper covers

• Unit 3 differentiation: chain, product, quotient rules on exponential, logarithmic and trigonometric functions
• Unit 3 applications of differentiation: stationary points, nature, optimisation and kinematics
• Unit 3 integration: antidifferentiation, constant of integration from initial conditions, definite integrals and area
• Unit 3 discrete random variables: Bernoulli sequences, binomial distribution, expected value and variance
• Unit 4 two- and three-dimensional trigonometry: sine rule, cosine rule and bearings in a civil-engineering pipeline-survey context
• Unit 4 continuous random variables and the normal distribution: z-scores, technology probabilities and inverse normal
• Unit 4 numerical integration with the trapezoidal rule and area between curves
• Unit 4 inferential statistics: sampling distribution of the sample proportion, confidence intervals, margin of error and sample size
• QCAA assessment objectives 1-6 with Simple Familiar, Complex Familiar and Complex Unfamiliar items requiring written contextual conclusions
• Correct QCAA notation, units, and evaluative justification for Band A responses

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.