QCE General MathematicsPractice Examination 5

This paper covers

• Project network critical path analysis: precedence table to activity network, dummy activities, forward/backward pass, EST/EFT/LST/LFT, float, critical activities, crashing
• Graph and network theory: adjacency matrices, Euler's formula, Eulerian/Hamiltonian graphs, Dijkstra shortest path, travelling salesman
• Decision mathematics: minimum spanning trees (Kruskal/Prim), maximum-flow minimum-cut, bipartite assignment
• Financial mathematics: compound interest via recurrence, reducing-balance loans and amortisation, annuities, perpetuities, sinking funds
• Sequences: arithmetic and geometric recurrence relations modelling crew growth and equipment depreciation
• Bivariate data: scatterplots, Pearson's r, R-squared, least-squares regression and prediction
• Time series: trend vs seasonal vs cyclical components, moving averages, seasonal indices, deseasonalising, forecasting
• Earth geometry: latitude/longitude, great-circle distance, time zones and the International Date Line

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.