QCE Mathematical MethodsPractice Examination 3

This paper covers

• Unit 3 differentiation: chain, product and quotient rules on exponential, logarithmic and polynomial functions
• Unit 3 applications of differentiation: stationary points, concavity, points of inflection, kinematics and optimisation
• Unit 3 introduction to integration: antidifferentiation, reverse chain rule, definite integrals and area under a curve
• Unit 3 discrete random variables: Bernoulli sequences, the binomial distribution and expected value
• Unit 4 integration extended: signed area, area between two curves and the trapezoidal rule
• Unit 4 trigonometry: sine rule, cosine rule, area of a triangle and 3D applications
• Unit 4 continuous random variables: the normal distribution, z-scores, technology probabilities and inverse normal
• Unit 4 inferential statistics: sampling distribution of the sample proportion, confidence intervals, margin of error and sample size
• Real-world modelling of a rainwater storage tank with a polynomial curved cross-section, optimising dimensions and computing capacity by integration
• Written justification, evaluation of reasonableness and correct QCAA notation 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.