• Mathematics Standard
  • Year 12

Critical path analysis

approx. 12 hrs

4 topics

13 concepts

Master critical path analysis in the optimisation of real-life problems.

Available in


In this learning program, students develop awareness that critical path analysis is a useful tool in project planning, management and logistics. Students will gain proficiency in constructing and interpreting network diagrams to solve related practical problems including small-scale network flow problems.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 13 concepts.

  • Activity network 4 concepts

    1. Scheduling on a network diagram

    2. Decide when to use dummy activities in an activity network

    3. Create an activity network from a precedence table or activity chart

    4. Write down a precedence table or activity chart from an activity network

  • Forward and backward scanning 2 concepts

    1. Use backward scanning to determine the latest starting time of activities in an activity network

    2. Use forward scanning to determine the earliest starting time of activities in an activity network

  • Float times and the critical path 3 concepts

    1. Determine the critical path for an activity network

    2. Determine the overall minimum completion time for a project using critical path analysis

    3. Determine the float time for activities in an activity network

  • Network flow problems 4 concepts

    1. Determine the maximum flow as equal to the minimum cut capacity

    2. Determine cut capacities

    3. Determine the maximum flow for any section of sequential edges of a directed graph

    4. Describe the flow of material through a directed graph

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Critical path analysis


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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