QCE Mathematical MethodsPractice Examination 6

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, curve sketching and optimisation
• Introduction to integration: antidifferentiation, constant of integration from initial conditions, definite integrals and area
• Area between two curves and the trapezoidal rule for numerical integration
• Discrete random variables: Bernoulli sequences, the binomial distribution and expected value
• 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
• 2D and 3D trigonometry: sine rule, cosine rule and bearings
• Complex Unfamiliar modelling: exponential decay of soil pesticide concentration with written contextual 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.