VCE General MathematicsPractice Examination 11

This paper covers

• Q1 Data analysis: normal-distribution z-scores and the 68-95-99.7 rule on practice-exam scores (mean 62, SD 9), IQR outlier test on a five-number summary, least-squares line built from summary statistics (slope 1.89, intercept 39.32), r² interpretation, prediction and residual, then a termly library-visits time series (missing seasonal index, deseasonalising, trend-line forecast with re-seasonalising).
• Q2 Recursion & financial modelling: flat-rate depreciation recurrence vs unit-cost vs reducing-balance on an $8000 photocopier, compound-interest recurrence and effective annual rate for a building fund, a $400,000 reducing-balance gym loan (first-row amortisation, balance after 60 repayments, 114 repayments with adjusted final repayment $3475.90) and a $150,000 scholarship perpetuity vs annuity drawdown.
• Q3 Matrices: canteen revenue by matrix product with order/definedness, 2x2 determinant and inverse to find production ticket prices, a 3-state weekly lunch-choice transition matrix on 850 students with integer steady state [310, 260, 280] and the S(n+1) = T.S(n) + B rule, plus a four-house debating dominance matrix ranked by one-step + two-step scores.
• Q4 Networks & decision maths: campus path graph (9 edges) - Euler trail condition with start/end vertices, unique minimum spanning tree of 220 m, shortest path 120 m; Open Day one-way corridor network with cut capacity and max flow = min cut = 480 people/min; school-musical project network - forward/backward pass, critical path A-C-E-G-H (16 weeks), float, and crashing E for the cheapest minimum completion time of 12 weeks ($1600).

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.