QCE General MathematicsPractice Examination 12

This paper covers

• Networks and decision mathematics (graph terminology, adjacency matrices, Euler's formula, Eulerian and Hamiltonian paths/circuits, Dijkstra's shortest path, travelling salesman, minimum spanning trees via Kruskal's and Prim's, maximum-flow minimum-cut, critical path analysis) applied to a South-East Queensland multimodal public transport network
• Bivariate data and least-squares regression, Pearson's r and R-squared
• Time series analysis: trend, seasonal indices, centred moving averages, deseasonalising and forecasting
• Arithmetic and geometric sequences modelling patronage growth and fleet depreciation
• Earth geometry: latitude/longitude distances and time-zone calculations
• Financial mathematics: compound interest by recurrence, reducing-balance loans and amortisation, annuities and perpetuities using the QCAA formula sheet

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.