Year 12 Maths Standard Module 6 Quiz ~40 min

Module 6 Quiz: Critical Path Analysis

Full module assessment covering all twelve lessons: project networks, precedence tables, AOA diagrams, forward and backward scans, critical paths, float, Gantt charts, multiple critical paths, constraints, crashing, and cost-time trade-offs.

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Know

Key Facts

  • All definitions
  • Algorithm steps
  • Formulas and theorems
Understand

Concepts

  • Relationships between concepts
  • When to apply each technique
  • Real-world implications
Can Do

Skills

  • Solve complete project problems
  • Show full working
  • Analyse and optimise schedules

Multiple Choice

MC

Multiple Choice

15 questions drawn from the full module bank — feedback shown immediately

Short Answer

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Extended Response

ApplyBand 4

1. A construction project has: Site prep(4,-), Foundation(6,Site prep), Framing(8,Foundation), Roofing(5,Framing), Plumbing(4,Framing), Electrical(3,Framing), Drywall(6,Plumbing+Electrical), Painting(4,Drywall+Roofing). (a) Build the precedence table. (b) Draw the AOA network. (c) Perform forward and backward scans. (d) Find the critical path and project duration. (e) Calculate float for all non-critical activities. (f) Draw a Gantt chart. 8 MARKS

Answer in your workbook
AnalyseBand 5

2. Using the project from Q1: (a) Framing can be crashed from 8 to 6 days at $500/day. Drywall from 6 to 4 at $400/day. Reduce duration by 2 days at minimum cost. Show working. (2 marks) (b) A resource constraint means only 2 trades can work simultaneously during Framing, Plumbing, and Electrical. All three need to start after Framing. How does this affect the schedule? (2 marks) (c) Explain why reducing Framing by 2 days might not reduce the project by 2 days if Plumbing and Drywall are also shortened. (2 marks) 6 MARKS

Answer in your workbook
EvaluateBand 6

3. (a) Prove that the critical path is the longest path through the network. (3 marks) (b) A project has normal cost $20,000 and duration 25 days. Indirect costs are $600/day. Two critical activities can be crashed: X (normal 10, crash 7, +$1500) and Y (normal 8, crash 6, +$1200). Find the optimal duration and minimum total cost. Show all working. (4 marks) (c) Evaluate the statement: "Crashing is always worth it if the indirect cost per day exceeds the crash cost per day." (3 marks) 10 MARKS

Answer in your workbook

Comprehensive Answers

Question 1 (8 marks)

(a) Table correct [1].

(b) Network with dummies if needed [1.5].

(c) Forward and backward scans [2].

(d) Critical path and duration = 32 [1].

(e) Floats: Roofing=5, Electrical=1 [1.5].

(f) Gantt chart [1].

Question 2 (6 marks)

(a) Crash plan and cost [2].

(b) Schedule analysis [2].

(c) Explanation [2].

Question 3 (10 marks)

(a) Proof [3].

(b) Optimal duration and cost [4].

(c) Evaluation [3].

Mark quiz as complete

Tick when you have finished all questions and checked your answers.