CPM Calculations for Project+ Certification

1. Which of the following activities can typically have slack without affecting project completion?

Activities on the critical path

Activities not on the critical path

The first activity in the project

Activities with zero duration

Submit

3. Which statement about the critical path is true?

There can be multiple critical paths in a project

Only one critical path can exist

The critical path has no activities

The critical path is always the cheapest route

4. Activity J has a duration of 7 days, ES = 3, and EF = 10. Is this activity scheduled correctly?

Yes, EF = ES + Duration

No, EF should be 12

No, EF should be 4

Yes, duration matches ES

5. Free float represents the amount of time an activity can be delayed without affecting which activity?

The project completion date

Its immediate successor

The critical path

Its immediate predecessor

6. If the project has a critical path of 45 days and Activity I has a total slack of 8 days, can Activity I be delayed by 10 days without affecting the project deadline?

Yes, because slack allows delays

No, because 10 days exceeds its slack

Yes, because it is not on the critical path

No, because all activities are critical

7. Activity H depends on both Activity F and Activity G finishing. What type of dependency is this?

Finish-to-Start (FS)

Start-to-Start (SS)

Finish-to-Finish (FF)

Start-to-Finish (SF)

Submit

10. If Activity G has ES = 6, duration = 8, and LS = 9, what is the total slack?

0 days

2 days

3 days

5 days

11. In a network diagram, Activity A takes 5 days, Activity B takes 8 days and depends on A, and Activity C takes 3 days and depends on A. What is the critical path duration?

5 days

13 days

16 days

8 days

12. Activity F has LS = 12 and duration = 5. Calculate its LF.

7 days

12 days

17 days

19 days

Submit

15. Activity E has a duration of 4 days and free float of 2 days. What is its total float if the project slack is 5 days?

2 days

3 days

5 days

6 days

16. An activity on the critical path has zero slack. Why is this significant?

It costs more than other activities

Any delay will delay the entire project

It requires the most workers

It must be done first

17. The critical path is the longest path through the network diagram. What does this mean for project duration?

It has the most activities

It determines the minimum project completion time

It has the lowest cost

It requires the most resources

18. An activity has ES = 5, EF = 12, LS = 8, LF = 15. What is the total slack?

0 days

3 days

7 days

10 days

19. Which formula correctly calculates Late Finish (LF) from Late Start (LS) and duration?

LF = LS + Duration

LF = LS - Duration

LF = Duration - LS

LF = LS × Duration

20. Activity D has an Early Start (ES) of 10 days and a duration of 6 days. What is its Early Finish (EF)?

4 days

10 days

16 days

6 days

Project+ Critical Path Method Calculation Quiz

1. Which of the following activities can typically have slack without affecting project completion?

2.

What first name or nickname would you like us to use?

2. Total slack (or total float) is calculated as ______ minus Early Finish.

3. Which statement about the critical path is true?

4. Activity J has a duration of 7 days, ES = 3, and EF = 10. Is this activity scheduled correctly?

5. Free float represents the amount of time an activity can be delayed without affecting which activity?

6. If the project has a critical path of 45 days and Activity I has a total slack of 8 days, can Activity I be delayed by 10 days without affecting the project deadline?

7. Activity H depends on both Activity F and Activity G finishing. What type of dependency is this?

8. The backward pass in CPM calculations determines all ______ values.

9. The forward pass in CPM calculations determines all ______ values.

10. If Activity G has ES = 6, duration = 8, and LS = 9, what is the total slack?

11. In a network diagram, Activity A takes 5 days, Activity B takes 8 days and depends on A, and Activity C takes 3 days and depends on A. What is the critical path duration?

12. Activity F has LS = 12 and duration = 5. Calculate its LF.

13. In backward pass calculations, Late Finish of a predecessor activity equals the ______ of its successor.

14. In forward pass calculations, Early Start of a successor activity equals the ______ of its predecessor.

15. Activity E has a duration of 4 days and free float of 2 days. What is its total float if the project slack is 5 days?

16. An activity on the critical path has zero slack. Why is this significant?

17. The critical path is the longest path through the network diagram. What does this mean for project duration?

18. An activity has ES = 5, EF = 12, LS = 8, LF = 15. What is the total slack?

19. Which formula correctly calculates Late Finish (LF) from Late Start (LS) and duration?

20. Activity D has an Early Start (ES) of 10 days and a duration of 6 days. What is its Early Finish (EF)?