QCE General MathematicsPractice Examination 18

This paper covers

• Bivariate data: scatterplots, Pearson's r, R-squared, least-squares regression, residuals (Mackay cable cost vs length)
• Time series: seasonal indices, deseasonalising, centred moving averages, trend and forecasting (desalination water demand)
• Arithmetic and geometric sequences and recurrence relations (cable-laying schedule, maintenance cost escalation)
• Earth geometry: latitude/longitude, great-circle distance, time zones (marina sensor network)
• Compound interest with non-annual compounding via recurrence (infrastructure bond)
• Reducing-balance loans, amortisation, annuities and perpetuities (marina financing)
• Graph and network theory: adjacency matrices, Euler's formula, Eulerian/Hamiltonian graphs, Dijkstra's algorithm, TSP
• Minimum spanning trees (Kruskal's and Prim's) for underwater cable installation
• Network flow: maximum-flow minimum-cut theorem (desalination plant pipe network)
• Critical path analysis: forward/backward passes, EST/EFT/LST/LFT, float, critical activities

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.