QCE Mathematical MethodsPractice Examination 19

This paper covers

• Differentiation of exponential, logarithmic and trigonometric functions (chain, product, quotient rules)
• Applications of differentiation: rates of change, kinematics, stationary points, concavity, optimisation
• Integration: antidifferentiation, reverse chain rule, definite integrals, signed area and area between curves
• Trapezoidal rule for numerical integration
• Binomial distribution: Bernoulli sequences, probabilities, expected value and variance
• Normal distribution: z-score standardisation, technology probabilities and inverse normal
• Sampling distribution of the sample proportion
• Confidence intervals and margin of error for a population proportion
• Minimum sample size to achieve a target margin of error
• 2D/3D trigonometry: sine rule, cosine rule and bearings
• Evaluating reasonableness and writing contextual conclusions for compliance decisions

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.