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
- 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
- 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
- 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
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).