QCE General MathematicsPractice Examination 14

This paper covers

• Earth geometry: latitude/longitude positions, great-circle meridian arc distance (d = angle/360 x 2 pi R, R = 6400 km), three-figure bearings and reverse bearings
• Time zones and the International Date Line: AEST (UTC+10) to Vanuatu (UTC+11) conversions, longitude-to-time, eastbound IDL day adjustment
• Bivariate data: scatterplots, Pearson r, coefficient of determination R-squared, least-squares regression line, interpolation/extrapolation and contextual interpretation
• Time series: trend/seasonal/cyclical/irregular components, 4-quarter centred moving averages, seasonal indices, deseasonalising (divide by index), trend forecasting and reseasonalising
• Arithmetic and geometric sequences and recurrence relations modelling charter fees, fuel use and equipment decay
• Financial mathematics: compound interest with varied compounding periods, reducing-balance loans and amortisation, future-value annuities, perpetuities
• Networks: terminology, adjacency matrices, vertex degree, Euler's formula, Eulerian/semi-Eulerian conditions, Dijkstra's shortest path
• Decision mathematics: Kruskal/Prim minimum spanning trees, maximum-flow minimum-cut, Hungarian bipartite assignment, 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.