VCE General MathematicsPractice Examination 8

This paper covers

• Q1 Data analysis — five-number summary and outlier fences for suburb house prices, normally distributed apartment prices (68-95-99.7 rule, z-scores), least-squares regression of price vs distance from CBD (slope interpretation, prediction, residual, coefficient of determination), and a quarterly house-sales time series (seasonal indices, deseasonalising, trend-line forecasting).
• Q2 Recursion and financial modelling — flat-rate depreciation of rental-property appliances, compound-interest deposit savings, a $480,000 reducing-balance home loan (recurrence relation, step-by-step amortisation, interest vs principal split, Finance Solver repayment count and adjusted final repayment), and a perpetuity funded by a property sale.
• Q3 Matrices — order and matrix product for office sales x commissions, determinant/inverse of a 2x2 to solve marketing-cost simultaneous equations, a three-region rental transition matrix (interpretation, state matrices, steady state, and the S(n+1) = T.S(n) + B extension), and a dominance-matrix ranking using D + D².
• Q4 Networks and decision mathematics — display-village graph (vertex degree, Euler trail conditions), minimum spanning tree for NBN cabling, shortest path between display homes, and a ten-activity house-construction project: minimum completion time, critical path, float, latest start time and minimum-cost crashing.

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.