Lesson 3D.4.5-3D.4.6

3D.4.5-3D.4.6 Resource histograms and scheduling with workers Quiz: Pearson Edexcel Further Maths, Unit 38

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson 3D.4.5-3D.4.6, Resource histograms and scheduling with workers: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 38: Critical path analysis, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. What does the vertical axis of a resource histogram represent?

    • Number of workers
    • Financial cost
    • Activity duration
    • Total project time

  2. What is the primary objective of resource levelling in project management?

    • Smooth worker demand
    • Maximise total float
    • Shorten project duration
    • Eliminate dummy activities

  3. What mathematical operation is applied to total worker-time divided by project duration to find minimum workers?

    • Truncate
    • Round up
    • Square root
    • Round down

  4. In standard critical path scheduling, how many workers can a single activity require?

    • Exactly one
    • At most two
    • One or more
    • Always zero

  5. What does the height of a bar in a resource histogram represent?

    • Float of activities
    • Total project duration
    • Total workers required
    • Number of activities

  6. What is the main benefit of delaying non-critical activities within their float?

    • Increases project float
    • Shortens project duration
    • Eliminates critical path
    • Reduces peak demand

  7. What determines the minimum project completion time when worker resources are unlimited?

    • Number of workers
    • Total float length
    • Critical path length
    • Total activity duration

  8. Activity X runs from time 0 to 4 with 2 workers. Activity Y runs from time 1 to 3 with 1 worker. How many workers are needed at time 2?

    • 2
    • 4
    • 1
    • 3

  9. Activities A (3 days, 2 workers), B (4 days, 1 worker) and C (2 days, 3 workers) are in a project. What is the total worker-days?

    • 16
    • 24
    • 12
    • 9

  10. A project needs 30 worker-days and must finish in 6 days. What is the lower bound on the number of workers?

    • 5
    • 3
    • 6
    • 30

  11. An activity uses 3 workers for 2 days and has 3 days of float. What is its worker-time?

    • 6
    • 5
    • 9
    • 3

  12. A project has 4 workers. Two overlapping activities need 3 and 2 workers. What must happen?

    • Cancel one activity
    • Shorten both activities
    • Delay one activity
    • Hire extra workers

  13. Days 1 and 2 use 3 workers each day, and days 3 to 5 use 1 worker each day. What is the total worker-days?

    • 9
    • 11
    • 12
    • 6

  14. A project has total worker-time 20 and must finish in 7 days. What is the minimum number of workers?

    • 7
    • 2
    • 3
    • 20

  15. Daily worker numbers over five days are 2, 4, 3, 5 and 1. What is the peak number of workers?

    • 15
    • 4
    • 3
    • 5

  16. A project has total worker-time 26 and must finish in 5 days. What is the minimum number of workers?

    • 6
    • 26
    • 5.2
    • 5

  17. Two activities each need 2 workers for 3 days. One may start up to 3 days later without delaying the project. What is the lowest achievable peak?

    • 6
    • 3
    • 2
    • 4

  18. Why might the minimum required workers exceed the calculated worker-time lower bound?

    • Float is zero
    • Activities can overlap
    • Precedence constraints exist
    • Unlimited worker supply

  19. Why might restricting a project to a small worker limit increase project duration?

    • Float is increased
    • Critical activities delayed
    • Activities finish early
    • Worker demand decreases

  20. Daily peaks of workers over five days are 3, 5, 2, 6 and 1. What is the maximum number of workers needed?

    • 17
    • 5
    • 3
    • 6

All Pearson Edexcel Further Maths quizzes