QCE General MathematicsPractice Examination 13

This paper covers

• Bivariate data: Pearson's r, R-squared and least-squares regression with contextual interpretation (Q16, Q27)
• Time series: 3-point moving averages, seasonal indices, deseasonalising by division, and forecasting (Q17, Q18, Q26, Q27)
• Arithmetic and geometric sequences via recurrence relations for passenger/route growth (Q6, Q7, Q19)
• Earth geometry: latitude/longitude distances along a meridian and Australian time-zone problems (Q11, Q12, Q20)
• Financial mathematics: compound interest with varied compounding periods, reducing-balance loans/amortisation, and annuities (Q5, Q21, Q23, Q24, Q28)
• Graphs and networks: adjacency matrices, Euler's formula, Eulerian/Hamiltonian conditions, Dijkstra's shortest path (Q1, Q2, Q3, Q22)
• Travelling salesman problem and the nearest-neighbour heuristic on the Brisbane hub-and-spoke flight network (Q4, Q25, Q32)
• Decision mathematics: minimum spanning trees (Kruskal and Prim), maximum-flow minimum-cut, and critical path analysis with forward/backward passes (Q13, Q14, Q15, Q29, Q30, Q31)

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.