QCE General MathematicsPractice Examination 10

This paper covers

• Bivariate data analysis (Pearson's r, R squared, least-squares regression, prediction, correlation vs causation)
• Time series analysis (4-point centred moving averages, seasonal indices, deseasonalising, forecasting, seasonal vs cyclical vs structural change)
• Arithmetic and geometric sequences and recurrence relations (growth/decay modelling, simultaneous equations)
• Earth geometry and time zones (latitude-distance formula D = 111.2 cos(theta) x angular distance, longitude-to-time conversion, AEST/AWST, International Date Line)
• Loans, investments and annuities (compound interest with varied compounding, reducing-balance recurrence, annuity FV/PV from QCAA formula sheet, repayments, perpetuities)
• Graphs and networks (degree/handshake, adjacency matrices, Euler's formula, Eulerian and Hamiltonian graphs, Dijkstra's shortest path)
• Decision mathematics (Kruskal's/Prim's minimum spanning tree, maximum-flow minimum-cut, Hungarian algorithm bipartite assignment, critical path analysis with forward/backward pass and float)
• Stimulus context: Queensland State of Origin stadium ticketing, vendor-to-zone assignment via the Hungarian algorithm, and an Eulerian security-patrol circuit

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.