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Ascent Arcade / Practice / General Mathematics / Year 12 / Discrete models
Year 12 · General Mathematics

Discrete models

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore discrete models for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Critical path analysis

Precedence tables and directed activity networks; Dummy links when using activity-on-arrow representation; Forward/backward scans; Minimum completion, critical path, earliest/latest starts and slack; Delay/reduction effects and contextual limitations

Examples, answers and practice
02

Assignment problems

One-to-one task allocation and minimum cost; Hungarian row/column reduction, zero cover and uncovered-value adjustment; Maximum-profit conversion; Non-square arrays/dummy rows or columns; Multiple optima and model assumptions

Examples, answers and practice

Make, test and investigate.

Create a project schedule

Create tasks, durations and precedence relationships. Perform forward and backward passes, identify float and critical tasks, then test a changed duration.

Guided activity · No grade

Solve an assignment with Hungarian steps

Create a cost table, perform row and column reductions, cover zeros and adjust uncovered entries. Select a one-to-one assignment and verify its original-table cost.

Guided activity · No grade
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Discrete models | Year 12 General Mathematics | Ascent Arcade