QCE General MathematicsPractice Examination 4

This paper covers

• Unit 4 Networks: weighted directed graphs, adjacency matrices, Dijkstra's shortest path, Euler/Hamilton, TSP
• Unit 4 Decision maths: minimum spanning trees (Kruskal/Prim), max-flow min-cut, Hungarian assignment, critical path analysis (forward/backward pass, float)
• Unit 4 Finance: compound interest with varied compounding, reducing-balance loans and amortisation, annuities (FV) and perpetuities
• Unit 3 Bivariate data: scatterplots, Pearson's r, R squared, least-squares regression and prediction
• Unit 3 Time series: centred moving averages, seasonal indices, deseasonalising, trend lines and forecasting
• Unit 3 Sequences: arithmetic and geometric sequences, recurrence relations, growth/decay modelling
• Unit 3 Earth geometry: latitude/longitude distances (great-circle and parallels), time zones and the International Date Line
• Integrated complex-unfamiliar problem solving combining Dijkstra routing with critical-path depot scheduling, with contextual justification and evaluation of reasonableness

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.