QCE Mathematical MethodsPractice Examination 17

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, inflection, curve sketching and optimisation
• Integration: antidifferentiation of standard forms, reverse chain rule, definite integrals, signed area and area between curves
• Numerical integration with the trapezoidal rule
• Discrete random variables: Bernoulli sequences, binomial distribution and expected value
• Unit 4 trigonometry: sine rule, cosine rule, area of a triangle and bearings (navigational triangle context)
• 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
• QCAA notation, written contextual conclusions and evaluation of reasonableness 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.