QCE General MathematicsPractice Examination 8

This paper covers

• Earth geometry: latitude/longitude positions, great-circle and same-meridian/same-parallel distances using the QCAA formula (R = 6400 km)
• Longitude-based time differences (15 degrees = 1 hour) and International Date Line day changes across the Pacific
• Bivariate data: scatterplots, Pearson's r, the coefficient of determination R squared, and least-squares regression with contextual interpretation
• Time series: seasonal indices, deseasonalising (dividing by the index), centred moving averages, trend lines and forecasting
• Arithmetic and geometric sequences and recurrence relations for growth/decay
• Financial mathematics: compound interest with non-annual compounding, reducing-balance loans and amortisation, annuities and perpetuities (QCAA formula sheet)
• Graphs and networks: adjacency matrices, Euler's formula, Eulerian/Hamiltonian graphs, Dijkstra's shortest path, and the travelling salesman problem
• Decision mathematics: minimum spanning trees (Kruskal/Prim), maximum-flow minimum-cut, the Hungarian assignment method, and critical path analysis (forward/backward pass, 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.