Year 12 · SACE / General Mathematics
Revision notes.
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Try this with General Mathematics
- Close your notes and write the main idea in two sentences from memory.
- Reopen the source and correct the first mistake or omission you find.
- Add one example and one question to test whether you can apply the idea.
Topics in the resource inventory
- Scatter plots, explanatory and response variables and the statistical investigation process
- Pearson's r and r²: direction, strength, outliers and causality
- Least squares linear regression: interpreting slope and intercept in context
- Residual plots and choosing between linear and exponential models
- Exponential regression, interpolation, extrapolation and reliability of predictions
- The normal distribution: parameters, bell shape and the 68:95:99.7% rule
- Non-standard proportions and inverse normal calculations with technology
- Compound interest: finding FV, PV, n and I with the financial solver
- Future value annuities: regular savings, total interest and 'what if' questions
- Tax, inflation, fees and effective annual rates when comparing investments
- Present value annuities: a regular income from a lump sum and superannuation
- Reducing-balance loans: repayments, total interest and the outstanding balance
- Reducing the interest paid: payment frequency, extra payments, lump sums, offset accounts and rate changes
- Interest-only loans, sinking funds and comparison rates with fees
- Precedence tables, directed networks and dummy links
- Forward and backward scans: EST, LST, minimum completion time and the critical path
- Slack time, crashing tasks and the assumptions and limitations of the model
- Assignment problems and the Hungarian algorithm for minimum cost
- Maximum profit assignments, non-square arrays and multiple optimal solutions
- Interpreting assignment solutions: one-to-one assumptions and reasonableness in context
Resource inventory inspected 4 November 2026. The main ATARMAXXING study platform is separate from tutoring. Topic labels show what was found, not a guarantee of complete curriculum coverage or tutor availability.
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