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Critical paths and floatEdexcel International A Level Maths: Mind map

Forward pass
Backward pass
Activity times

Critical paths and float

forward and backward passes

e(i)l(j)float
Total float
Critical path
Exam tips

Exam questions on Critical paths and float

  1. A project is modelled by an activity network with start event 1 and finish event 6. The activities are: A from event 1 to 2 (3 days); B from 1 to 3 (5 days); C from 2 to 4 (6 days); D from 3 to 4 (2 days); E from 3 to 5 (4 days); F from 4 to 6 (3 days); G from 5 to 6 (5 days).
    Calculate the total float on activity D.2 marks
  2. A project is modelled by an activity network with start event 1 and finish event 5. The activities are: A from event 1 to 2 (6 days); B from 1 to 3 (4 days); C from 2 to 4 (3 days); a dummy from 2 to 3; D from 3 to 4 (7 days); E from 4 to 5 (5 days); F from 3 to 5 (9 days).
    Find the earliest finish time and the latest finish time of activity B, and hence its total float.2 marks
  3. A project is modelled by an activity network with start event 1 and finish event 5. The activities are: A from event 1 to 2 (5 days); B from 1 to 3 (7 days); C from 2 to 4 (6 days); D from 3 to 4 (5 days); E from 3 to 5 (8 days); F from 4 to 5 (3 days).
    Carry out a forward pass and state the minimum project duration.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).