01 / QUICK RECAP
Connect the ideas.
- Define decision variables, units and practical domains.
- Translate each resource or minimum requirement into its own condition.
- Separate the feasible region from the objective.
- Check boundary intersections before comparing objective values.
- Use justified integer reasoning, not blind coordinate rounding.
- State what the model assumes and evaluate its limitations.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Linear models and optimisation — Practice test 1
A balanced paper building from equations and comparisons to constrained decisions.
10 questions · 48 marks · 70 minutes · Scientific calculatorLinear models and optimisation — Practice test 2
Graphs, minimum requirements and the meaning of linear comparisons.
10 questions · 47 marks · 70 minutes · Scientific calculatorLinear models and optimisation — Practice test 3
Whole-number planning, competing limits and justified decisions.
10 questions · 49 marks · 70 minutes · Scientific calculatorLinear models and optimisation — Practice test 4
Interpretation and error analysis, including empty, unbounded and non-unique solutions.
10 questions · 44 marks · 70 minutes · Scientific calculatorLinear models and optimisation — Practice test 5
Applied decisions with profit, minimum requirements and sensitivity.
10 questions · 49 marks · 70 minutes · Scientific calculatorLinear models and optimisation — Challenge and applications
A final paper requiring careful model criticism, integer reasoning and parameter comparisons.
10 questions · 49 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 2 General Mathematics: Modelling with Linear Relationships, a compulsory school-assessed topic. The external examination scope differs from the full course.
Official curriculum source ↗