VCE General MathematicsPractice Examination 10

This paper covers

• Data analysis: rainfall five-number summary and the 1.5xIQR outlier rule, normally distributed January temperatures (68-95-99.7 rule and z-scores), least-squares regression of reservoir evaporation on maximum temperature (slope, r², prediction, residual), and seasonal indices with deseasonalisation of quarterly rainfall
• Recursion and financial modelling: flat-rate vs unit-cost depreciation of a survey drone, a monthly-compounding investment recurrence, a reducing-balance loan for a Doppler radar (Finance Solver repayment, amortisation split, mid-loan balance, total interest), and a perpetuity research fund
• Matrices: order and element interpretation, a cost matrix product, determinant and inverse of a 2x2 to solve simultaneous equations, a fine/wet weather transition matrix (two-step probability and steady state), and the rule S(n+1) = T.S(n) + B for volunteer numbers
• Networks and decision mathematics: vertex degrees and Euler trail conditions on a station network, minimum spanning tree for cabling, shortest path, max-flow min-cut on a stormwater system, and project scheduling for a flood-siren installation (critical path, float, 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.