Linear models and optimisation — Topic Review | Year 12

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.

Complete each paper and show your working.

Linear models and optimisation — Practice test 1
10 questions · 48 marks · 70 minutes · Scientific calculator
A balanced paper building from equations and comparisons to constrained decisions.
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Linear models and optimisation — Practice test 2
10 questions · 47 marks · 70 minutes · Scientific calculator
Graphs, minimum requirements and the meaning of linear comparisons.
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Linear models and optimisation — Practice test 3
10 questions · 49 marks · 70 minutes · Scientific calculator
Whole-number planning, competing limits and justified decisions.
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Linear models and optimisation — Practice test 4
10 questions · 44 marks · 70 minutes · Scientific calculator
Interpretation and error analysis, including empty, unbounded and non-unique solutions.
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Linear models and optimisation — Practice test 5
10 questions · 49 marks · 70 minutes · Scientific calculator
Applied decisions with profit, minimum requirements and sensitivity.
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Linear models and optimisation — Challenge and applications
10 questions · 49 marks · 75 minutes · Scientific calculator
A final paper requiring careful model criticism, integer reasoning and parameter comparisons.
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