Enlargement: Real-world Applications in Architecture & Design
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of enlargement through real-world architecture and design scenarios, focusing on scale factors and drawing accuracy.
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Full preview • 12 questions
Enlargement: Real-world Applications in Architecture & Design
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A blueprint of a house shows a room that is 5 cm wide. If the actual width of the room is 4 meters, what is the scale factor of the drawing to the real house?
[2 marks]2.
A scaled drawing enlarges a garden plan by a factor of 3. If the garden's actual length is 24 meters, what is the length of the garden in the drawing?
[2 marks]3.
Calculate the scale factor if a model building is 15 cm tall and the actual building is 45 meters tall.
[3 marks]4.
A scaled architectural drawing shows a corridor that is 12 cm long. If the actual corridor length is 36 meters, what is the scale factor used?
[2 marks]5.
A model of a bridge is built at a scale of 1:100. The actual length of the bridge is 250 meters. How long is the model bridge in centimeters?
[2 marks]6.
In a design project, a scaled plan shows a building with a width of 4 cm. If the actual width of the building is 20 meters, what is the scale factor of the plan?
[2 marks]7.
Construct a triangle on the grid with sides measuring 3 cm, 4 cm, and 5 cm. Use a scale factor of 2 to enlarge it. What will be the lengths of the sides after enlargement?
[3 marks]8.
A building model is enlarged by a scale factor of 5. If the model's height is 8 cm, what is the real height of the building in meters?
[2 marks]9.
A large wall mural is scaled from a drawing. The drawing shows the mural at 8 cm high, and in reality, it is 16 meters high. What is the scale factor of the drawing to the real mural?
[2 marks]10.
An architect plans a model that is 1/50th the size of the actual building. If the model’s width is 6 cm, what is the actual width of the building in meters?
[2 marks]11.
A design involves enlarging a window from a small scale drawing. The drawing shows the window as 2 cm wide, and the actual window is 1.5 meters wide. What is the scale factor used in this enlargement?
[2 marks]12.
Identify and correct the mistake: A student says that if the model of a monument is 4 cm tall and the actual monument is 20 meters tall, then the scale factor is 5.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet