01 / QUICK RECAP
Connect the ideas.
- Linear change has a constant difference; exponential change has a constant ratio over equal input steps.
- An intersection satisfies both rules; break-even means zero profit.
- Piecewise intervals must assign exactly one output and retain accumulated charges.
- Fit a model with appropriate variables and units, then inspect residuals and domain limits.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Practice test 1 — Models and methods
A balanced first paper: solve, construct, compare and interpret linear, piecewise and exponential rules.
10 questions · 58 marks · 60 minutes · Scientific calculatorPractice test 2 — Reading representations
Interpret equations, intervals, tables and financial comparisons, then justify predictions.
10 questions · 53 marks · 60 minutes · Scientific calculatorPractice test 3 — Decisions from data
Use calibration, charges, production and investment models to make defensible decisions.
10 questions · 59 marks · 75 minutes · Scientific calculatorPractice test 4 — Explain and correct
Find errors in algebra and modelling, support corrections and evaluate claims.
10 questions · 56 marks · 75 minutes · Scientific calculatorPractice test 5 — Applications and judgement
Combine algebra, changing tariffs, exponential fitting and model limitations in a more demanding paper.
10 questions · 62 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 General Mathematics: algebraic and graphical modelling of linear/exponential change, with interpretation and evaluation.
Official curriculum source ↗