3D.4.4 Total float and Gantt charts Quiz: Pearson Edexcel Further Maths, Unit 38

The 20 questions

1. Total float F(i,j) of an activity (i,j) is defined as

   • e_j - l_i + duration(i,j)
   • e_i - l_j - duration(i,j)
   • l_j - e_i - duration(i,j)
   • l_j - e_j - duration(i,j)

2. What does the total float of an activity represent?

   • Minimum start time
   • Total activity duration
   • Required worker count
   • Maximum permissible delay

3. What quantity is displayed along the horizontal axis of a Gantt chart?

   • Cost
   • Time
   • Total float
   • Worker capacity

4. On a cascade Gantt chart, how is total float shown for an activity?

   • Dotted line
   • Shaded box
   • Vertical arrow
   • Solid bar

5. A cascade chart is another name for a

   • Venn diagram
   • histogram
   • precedence table
   • Gantt chart

6. Which event time determines the earliest start time of an activity?

   • Head event latest
   • Tail event earliest
   • Tail event latest
   • Head event earliest

7. Which event time determines the latest finish time of an activity?

   • Tail event latest
   • Head event latest
   • Tail event earliest
   • Head event earliest

8. An activity has earliest start e_i = 4, latest finish l_j = 12 and duration 5. What is its total float?

   • 5
   • 12
   • 3
   • 8

9. An activity has earliest start e_i = 0, latest finish l_j = 6 and duration 6. What is its total float?

   • 12
   • 0
   • 6
   • -6

10. An activity has e_i = 2, l_j = 7 and duration 3. What is its total float?

    • 7
    • 2
    • 4
    • -2

11. An activity starts at its earliest time 3, lasts 4 and has total float 2. What is its latest finish?

    • 11
    • 7
    • 5
    • 9

12. An activity has total float 5 and lasts 3 days. It is delayed by 4 days. What happens to the project completion?

    • No change
    • Project delayed by 4
    • Project delayed by 9
    • Project delayed by 1

13. An activity has earliest start 5, duration 3 and total float 4. What is its latest start?

    • 8
    • 12
    • 7
    • 9

14. An activity has e_i = 8, l_i = 10, duration 3, e_j = 11 and l_j = 12. What is its total float?

    • 0
    • 3
    • 1
    • 4

15. An activity Y starts at its earliest time 4, lasts 10 and has total float 6. What is its latest finish?

    • 16
    • 20
    • 24
    • 14

16. If one activity on a path uses its total float, what happens to float on that path?

    • Shared float increases
    • Shared float decreases
    • Shared float unchanged
    • Shared float doubles

17. An activity has duration 6, earliest start 2, and its head event has latest time 9. What is its latest start?

    • 9
    • 2
    • 3
    • 1

18. Activities A (time 0 to 3), B (time 1 to 5) and C (time 3 to 6) are drawn on a Gantt chart. How many are active at time 2?

    • 3
    • 1
    • 0
    • 2

19. What is the total float of any critical activity?

    • Negative
    • One
    • Zero
    • Infinite

20. An activity has earliest start 3, duration 4 and latest head event time 10. What is its total float, and is it critical?

    • 3 units, not critical
    • 3 units, critical
    • 0 units, critical
    • 7 units, not critical

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