QCE General MathematicsPractice Examination 3

This paper covers

• Bivariate data: Pearson r, R-squared, least-squares regression, residuals (cane yield vs rainfall)
• Time series: trend/seasonal/cyclical/irregular, centred moving averages, seasonal indices, deseasonalising, forecasting (quarterly cane crush)
• Arithmetic and geometric sequences and recurrence relations (annual sugar cane harvest growth; machinery depreciation)
• Earth geometry: latitude/longitude, great-circle distance, nautical miles, time zones and the International Date Line
• Compound interest with varied compounding periods via recurrence relations (agribusiness loan)
• Reducing-balance loans and amortisation; annuities and perpetuities using the QCAA formula sheet
• Graphs and networks: terminology, adjacency matrices, Euler's formula, Eulerian/Hamiltonian graphs, Dijkstra's shortest path, travelling salesman problem
• Decision mathematics: minimum spanning trees (Kruskal/Prim) for irrigation pipelines, maximum-flow minimum-cut, Hungarian assignment, critical path analysis with forward/backward passes and float

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.