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House Floor Plan Measurement

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House Floor Plan Measurement Project

📐 Part 1: Scale Reading and Measurements (25 marks)

Question 1 (5 marks): The floor plan has a scale of 1:100. If a room measures 4.5 cm on the plan, what is the actual length in metres?
Question 2 (8 marks): Using the scale 1:50, complete the table below:
Plan Measurement Actual Length
6 cm ___________ m
8.5 cm ___________ m
___________ cm 7.5 m
___________ cm 12 m
Question 3 (6 marks): Match the floor plan symbols to their meanings:
A. Double parallel lines
B. Rectangle with diagonal lines
C. Curved line with gap
1. Window
2. Wall
3. Door swing
Question 4 (6 marks): Convert the following measurements to appropriate units:

a) 450 cm = _______ m

b) 2.8 m = _______ mm

c) 0.75 km = _______ m

d) 3500 mm = _______ m

e) 1.25 m = _______ cm

f) 8 m = _______ mm

📏 Part 2: Area and Perimeter Calculations (30 marks)

Question 5 (10 marks): A rectangular living room measures 6.5 m by 4.2 m on the actual floor plan.

a) Calculate the area of the living room. (5 marks)

b) Calculate the perimeter of the living room. (5 marks)

Question 6 (12 marks): A bedroom has the following dimensions: Length = 4.8 m, Width = 3.6 m

a) What is the area in square metres? (3 marks)

b) Carpet costs $45 per square metre. How much will it cost to carpet this room? (4 marks)

c) Skirting boards are needed around the perimeter. If the door opening is 1.2 m wide, what length of skirting board is required? (5 marks)

Question 7 (8 marks): An L-shaped kitchen can be divided into two rectangles:

Rectangle 1: 3.5 m × 2.8 m

Rectangle 2: 2.1 m × 1.9 m

Calculate the total area of the kitchen.

🏠 Part 3: Floor Plan Design Project (15 marks)

Question 8 (15 marks): Design a floor plan for a small house with the following requirements:
  • Total floor area must be between 80-100 square metres
  • Must include: 2 bedrooms, 1 bathroom, kitchen, living room
  • Use a scale of 1:100
  • Show all measurements on your plan
  • Include proper symbols for doors and windows

Calculations and justifications:

📋 Assessment Rubric

Criteria Excellent (A) Good (B) Satisfactory (C) Needs Improvement (D/E) Marks
Scale & Measurement All calculations correct with clear working Most calculations correct with some working shown Some calculations correct Few or no correct calculations /25
Area & Perimeter All formulas applied correctly with accurate results Most formulas correct with minor errors Some understanding of formulas shown Limited understanding of concepts /30
Floor Plan Design Creative, accurate plan meeting all requirements Good plan meeting most requirements Basic plan meeting some requirements Incomplete or inaccurate plan /15

Total: _____ / 70 marks

Grade: _______

✅ Answer Key

Question 1: 4.5 cm × 100 = 450 cm = 4.5 m

Question 2:

  • 6 cm = 3 m
  • 8.5 cm = 4.25 m
  • 15 cm = 7.5 m
  • 24 cm = 12 m

Question 3: A-2, B-1, C-3

Question 4:

  • a) 4.5 m
  • b) 2800 mm
  • c) 750 m
  • d) 3.5 m
  • e) 125 cm
  • f) 8000 mm

Question 5:

  • a) Area = 6.5 × 4.2 = 27.3 m²
  • b) Perimeter = 2(6.5 + 4.2) = 21.4 m

Question 6:

  • a) Area = 4.8 × 3.6 = 17.28 m²
  • b) Cost = 17.28 × $45 = $777.60
  • c) Perimeter = 2(4.8 + 3.6) - 1.2 = 15.6 m

Question 7: Total area = (3.5 × 2.8) + (2.1 × 1.9) = 9.8 + 3.99 = 13.79 m²

Question 8: Assessment based on rubric criteria

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