ATARMAxxing
VCE General MathematicsPractice Examination 16
| Reading time | 15 minutes |
| Writing time | 2 hours |
| Total marks | 60 |
| Questions | 4 |
| Structure | Questions — 4 Q, 60 marks |
This paper covers
- Data analysis: normal distribution and z-scores (68-95-99.7), boxplot outlier test, least-squares regression with CAS (slope/intercept interpretation, prediction, residual, r and coefficient of determination), seasonal indices, deseasonalising and trend forecasting
- Recursion and financial modelling: flat-rate, unit-cost and reducing-balance depreciation as recurrence relations, reducing-balance loan amortisation (interest/principal split), Finance Solver for repayments and total interest, annuity duration and perpetuity condition
- Matrices: order and matrix product with interpretation, determinant and inverse of a 2x2 to solve simultaneous equations, transition matrices (interpretation, state matrices, steady state, two-step transitions), the rule S(n+1) = T.S(n) + B, dominance matrices and ranking
- Networks and decision mathematics: vertex degree and Euler trail/Hamiltonian cycle conditions, minimum spanning tree, shortest path, maximum flow with cut capacities and min-cut justification, project scheduling (EST/LST, critical path, float, 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.
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