We cannot draw to full scale maps, plans for houses, etc. The plan for a house is drawn on a blue print according to scale. These scale drawings use small units of measurement to represent larger units. Therefore 1 cm on a blueprint could represent 500 m. This is usually referred to as 1 : 500. On a map it could be 1 : 100,000
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Question 1 of 6
1. Question
Barry wants to draw a scale drawing of a pyramid with a base of 750 feet. He will use the scale 1 inch : 150 ft. What will be the base length of the drawing of the pyramid?
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The actual base length of the pyramid = 750 ft
The pyramid is scaled down to the ratio 1 in : 150 ft
Therefore the scaled base length of the pyramid =
1 b
=
150 Cross multiply: 1 x = 150 x b
= b
= b
Answer = Base length drawing of the pyramid is inches.
Correct 5 / 5 PointsIncorrect / 5 Points -
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Question 2 of 6
2. Question
An architect is doing a scale drawing of a house on a piece of land. The base length of the house is 1500 feet. The architect will use the scale 1 cm : 100 feet. What is the scale base length of the house?
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The actual base length of the house = ft
The house is scaled down to the ratio 1 cm : 100 ft
Therefore the scaled base length of the house =
=
Cross multiply: x = x b
= b
= b
Answer = Base length drawing of the house is cm.
Correct 11 / 11 PointsIncorrect / 11 Points -
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Question 3 of 6
3. Question
The distance from the Police Station to the Barber Shop is according to the scale 2.14 inches. If the map is drawn to a scale of 1 inch to 100 metres, what is the actual distance of the Barber Shop from the Police Station?
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Let the actual distance from the barber shop to the Police Station be B
Scale distance = inches
The distance is scaled down to the ratio inch : metres
Therefore the scaled distance =
=
Cross multiply: 1 x = x
B =
Answer = The actual distance from the Barber Shop to the Police Station is metres.
Correct 12 / 12 PointsIncorrect / 12 Points -
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Question 4 of 6
4. Question
Below is a floor plan for a house. The scale on the blueprint is 1 cm to 2 m.
Calculate the actual dimensions of the rooms.
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a) Kitchen 9′ x 21′
Actual size is
b)Living room 13′ x 16′
Actual size is
c) Bedroom 11′ x 12′
Actual size is
d) Master Bedroom 15′ x 10′
Actual size is
Correct 4 / 4 PointsIncorrect / 4 Points -
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Question 5 of 6
5. Question
The plan for a window shows sides of 5 cm. Calculate the actual side of the window.
Scale: 1 cm : 12 m
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The side of the window is 5 cm
Actual side of the window = = m ⇐ Answer
CorrectIncorrect -
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Question 6 of 6
6. Question
A model aircraft was made using a scale of 1 cm to 5 m. If the model had a wingspan of 12.5 cm, what is the actual length of the wingspan of the aircraft?
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Wingspan scale = 1 cm : 5 m
actual wingspan = = m ⇐ Answer
Correct 2 / 2 PointsIncorrect / 2 Points -
