VCE General MathematicsPractice Examination 19

This paper covers

• Data analysis: median, IQR and the 1.5 x IQR outlier rule, normal distribution (68-95-99.7 rule and z-scores), least squares regression with slope/intercept interpretation, prediction, residuals and coefficient of determination, plus seasonal indices, deseasonalising and trend-line forecasting for quarterly construction data.
• Recursion and financial modelling: flat-rate, unit-cost and reducing-balance depreciation of construction plant, recurrence relations, reducing-balance loan amortisation with Finance Solver (number of repayments, final adjusted repayment, total interest), and an annuity drawdown including the perpetuity condition.
• Matrices: matrix order and multiplication for site materials costing, determinant and inverse of a 2 x 2 matrix to solve equipment-hire equations, transition matrices with state matrices, steady state, the rule S(n+1) = T x S(n) + R for a workforce with recruitment, and one- and two-step dominance ranking of tendering firms.
• Networks and decision mathematics: vertex degree and Euler trail conditions for a site inspection, minimum spanning tree for power cabling, shortest path, maximum flow and minimum cut for concrete deliveries, and project scheduling with earliest start times, critical path, float and crashing.

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.