Lesson DE1-DE3

DE1-DE3 Activity networks and critical paths Quiz: AQA Further Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson DE1-DE3, Activity networks and critical paths: 20 multiple choice questions for the AQA Further Maths (7367), Unit 5: Optional application 3: discrete mathematics, written with Revision Ninja.

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The 20 questions

  1. In an activity-on-node network, what do the nodes represent?

    • Activities
    • Float values
    • Events
    • Precedences

  2. In critical path analysis, which pass calculates the earliest start time of an activity?

    • Forward pass
    • Backward pass
    • Float pass
    • Critical pass

  3. What is the total float of a critical activity in a project network?

    • 1
    • 0
    • Equal to duration
    • Infinite

  4. Which path through a project network determines the minimum completion time?

    • Longest path
    • Most activities
    • Shortest path
    • Highest float

  5. What does an activity's total float measure?

    • Total duration
    • Earliest start
    • Spare time available
    • Minimum duration

  6. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the minimum duration of the project?

    • 9
    • 11
    • 14
    • 12

  7. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the earliest start time of activity E?

    • 8
    • 9
    • 5
    • 12

  8. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). Which activities form the critical path?

    • B, D and E
    • A, C and E
    • B, C and E
    • A, D and E

  9. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the total float of activity A?

    • 4
    • 0
    • 7
    • 3

  10. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the total float of activity C?

    • 4
    • 5
    • 0
    • 2

  11. An activity with a float of 4 is delayed by 3 units. What happens to project duration?

    • Unchanged
    • Increases by 1
    • Increases by 3
    • Decreases by 3

  12. A critical activity in a project with duration 12 is delayed by 1 unit. What is the new duration?

    • 12
    • 13
    • 11
    • 14

  13. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the latest start time of activity D?

    • 4
    • 5
    • 0
    • 9

  14. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the latest start time of activity B?

    • 0
    • 2
    • 1
    • 4

  15. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). What is the total float of activity E?

    • 9
    • 12
    • 3
    • 0

  16. In critical path analysis, what is calculated during the backward pass?

    • Latest times
    • Activity durations
    • Float values
    • Earliest times

  17. Why is the minimum project duration equal to the length of the longest path?

    • Precedence requirements
    • Shortest path rules
    • Zero float rules
    • Resource constraints

  18. Paths ACE (8) and BDE (12) exist. If A increases by 5, what is the new critical path duration?

    • 15
    • 17
    • 12
    • 13

  19. What is the total float of every activity lying on a critical path?

    • Always positive
    • Always negative
    • Always zero
    • Equal to duration

  20. Activities: A (3, no predecessors), B (4, none), C (2, after A), D (5, after B), E (3, after C and D). If the duration of D is increased from 5 to 6, what is the new minimum project duration?

    • 14
    • 13
    • 11
    • 12

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