QCE Mathematical MethodsPractice Examination 2

This paper covers

• Unit 3 Further Calculus: differentiation of exponential, logarithmic and trigonometric functions via chain, product and quotient rules
• Applications of differentiation: rates of change, kinematics, stationary points, concavity, optimisation and curve interpretation
• Introduction to integration: standard antiderivatives, reverse chain rule, definite integrals, area under a curve and between curves
• Discrete random variables: Bernoulli sequences, the binomial distribution and expected value
• Unit 4: numerical integration (trapezoidal rule), signed area and area between curves
• Two- and three-dimensional trigonometry: sine rule, cosine rule 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
• Stimulus context: a satellite navigation cosine signal-strength model analysed for rate of change, stationary points and a manufacturer performance claim
• Band A written justification, correct QCAA notation and contextual concluding statements across Simple Familiar, Complex Familiar and 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.