Math Grade 7 Quiz Scale Drawings of Geometric Figures – 7.G.A.1
Scale drawings are representations of actual objects or places, but they are reduced or enlarged in size while retaining proportionality. This topic focuses on understanding the relationships between actual sizes and their representations on a scale drawing. Using scale factors, students can compute actual lengths and areas from these drawings or reproduce the drawings at a different scale. This skill is particularly crucial in fields such as architecture, engineering, and geography.
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Question 1 of 10
1. Question
A room is represented on a blueprint by a rectangle that is 4 inches long and 3 inches wide. If the scale of the blueprint is 1 inch = 5 feet, what are the actual dimensions of the room?
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Question 2 of 10
2. Question
A garden is drawn on a map with dimensions 2cm by 3cm. If the scale of the map is 1cm = 10 meters, what is the actual area of the garden?
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Question 3 of 10
3. Question
A model car has a length of 5 inches. If the model scale is 1 inch = 4 feet, how long is the actual car?
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Question 4 of 10
4. Question
A pond on a map is represented by a circle with a radius of 2cm. If the actual pond has a radius of 100 meters, what is the scale of the map?
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Question 5 of 10
5. Question
To make a larger drawing, an artist decides to double the scale factor of an existing drawing. If a building in the existing drawing is 3 inches tall, how tall will it be in the new drawing?
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Question 6 of 10
6. Question
On a scale drawing, the side of a square park is 4 cm. If the actual side of the park is 400 meters, what is the scale of the drawing?
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Question 7 of 10
7. Question
A scale drawing of a rectangular field measures 7 cm by 9 cm. If the actual field is 63 meters long, what is the width of the field?
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Question 8 of 10
8. Question
An architect wants to reproduce a drawing at half the scale of the original. If a window in the original drawing measures 4 inches wide, how wide will the window be in the new drawing?
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Question 9 of 10
9. Question
A blueprint shows a swimming pool that is 6 inches long. If the actual length of the pool is 48 feet, what is the scale of the blueprint?
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Question 10 of 10
10. Question
If a building’s height on a scaled drawing is 10 inches and the actual building’s height is 100 feet, what is the scale of the drawing?
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