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Critical Path Analysis (Year 12)

Free printable Year 12 General Mathematics worksheet on critical path analysis of a project network: earliest start and finish times, float, the critical path and minimum project time (ACMGM104-108).

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Year 12 · Math worksheet
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Date
Math

Networks: Critical Path Analysis

Use the project (activity) network. Forward scan for earliest start and finish times, backward scan for float, and identify the critical path and the minimum project time. The answer key highlights the critical activities.

  1. 1.
    In the project (activity) network shown, find the minimum time to complete the whole project.
    A: 6B: 3C: 3D: 9E: 81234
    Activity network: each arrow is an activity labelled with its name and duration.
  2. 2.
    In the activity network shown, find the earliest start time (EST) of activity E.
    A: 6B: 4C: 3D: 8E: 4F: 612345
    Activity network: each arrow is an activity labelled with its name and duration.
  3. 3.
    In the activity network shown, activity E takes 2 units. Find its earliest finish time (EFT).
    A: 8B: 6C: 6D: 6E: 21234
    Activity network: each arrow is an activity labelled with its name and duration.
  4. 4.
    In the activity network shown, find the float (slack) time of activity B.
    A: 3B: 9C: 8D: 4E: 2F: 512345
    Activity network: each arrow is an activity labelled with its name and duration.
  5. 5.
    In the activity network shown, list the activities that lie on the critical path (the activities with zero float).
    A: 4B: 7C: 6D: 2E: 41234
    Activity network: each arrow is an activity labelled with its name and duration.
  6. 6.
    In the activity network shown, find the earliest event time of node 1 (the earliest time every activity leading into it can be finished).
    A: 2B: 2C: 3D: 7E: 9F: 512345
    Activity network: each arrow is an activity labelled with its name and duration.
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