QCE General MathematicsPractice Examination 19

This paper covers

• Bivariate data analysis: scatterplots, Pearson's r, coefficient of determination R-squared, least-squares regression, interpolation vs extrapolation, residuals (athlete age vs finish time)
• Time series analysis: trend/seasonal/cyclical/irregular components, 4-point centred moving averages, seasonal indices, deseasonalising, forecasting (annual triathlon entries)
• Arithmetic and geometric sequences: nth-term and recurrence relations, series sums (entry growth, prize pools)
• Earth geometry: latitude/longitude, great-circle/arc distance, time zones and the International Date Line
• Financial mathematics: compound interest with varied compounding, effective rates, reducing-balance loans and amortisation, annuities (future value) and perpetuities
• Graphs and networks: terminology, adjacency matrices and walks, Euler's formula, Dijkstra's shortest path, minimum spanning trees (Kruskal/Prim), bipartite assignment
• Project network critical path analysis: forward/backward passes (EST, EFT, LST, LFT), float, critical activities, and crashing (event set-up)

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.