QCE Mathematical MethodsPractice Examination 5

This paper covers

• Unit 3 Further Calculus: chain/product/quotient differentiation of exp, log and trig functions
• Applications of differentiation: kinematics, stationary points, concavity, points of inflection, optimisation
• Antidifferentiation: standard forms, reverse chain rule, definite integrals and the constant of integration
• Discrete random variables: Bernoulli sequences, the binomial distribution, expected value and variance
• Unit 4 integration: signed area, area between two curves, numerical integration by the trapezoidal rule
• 2D/3D 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
• Sustained Complex Unfamiliar modelling of a marathon runner's trigonometric velocity profile with written contextual conclusions
• Correct QCAA notation, units, signed-area interpretation and evaluate/justify written conclusions

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.