Answer these ten multiple-choice questions on scale drawings. Each question has exactly one correct answer, and several show a map or a figure. Work each one out on scratch paper first, then read the explanation to find your mistakes.
Grade 7Common Core: 7.G.A.1
🎯 Scale Drawings – Grade 7 math quiz
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Question 1
Two towns are \(2.8\text{ in}\) apart on a map with the scale \(1\text{ in}=25\text{ mi}\). What is the actual distance?The map distance is \(2.8\text{ in}\).
A\(27.8\text{ mi}\)
B\(8.9\text{ mi}\)
C\(700\text{ mi}\)
D\(70\text{ mi}\)
Question 2
A scale drawing uses \(1\text{ in}=6\text{ ft}\). A hallway is \(21\text{ ft}\) long. How long is it in the drawing?
A\(3.5\text{ in}\)
B\(126\text{ in}\)
C\(15\text{ in}\)
D\(27\text{ in}\)
Question 3
Which scale matches this drawing?The wall is drawn \(5\text{ in}\) long. It is \(20\text{ ft}\) long in real life.
A\(1\text{ in}=5\text{ ft}\)
B\(1\text{ in}=15\text{ ft}\)
C\(1\text{ in}=4\text{ ft}\)
D\(1\text{ in}=25\text{ ft}\)
Question 4
Write the scale \(1\text{ in}=2\text{ ft}\) as a ratio with the same unit for both lengths.
A\(1:2\)
B\(1:24\)
C\(1:12\)
D\(1:20\)
Question 5
A room is drawn as the rectangle below with the scale \(1\text{ in}=2\text{ ft}\). What is the actual area of the room?Drawn at half size. Scale: \(1\text{ in}=2\text{ ft}\).
A\(24\text{ ft}^{2}\)
B\(12\text{ ft}^{2}\)
C\(96\text{ ft}^{2}\)
D\(48\text{ ft}^{2}\)
Question 6
A drawing is enlarged with a scale factor of 3. By what factor does the area change?A scale factor of 3 enlarges each side by 3.
A9
B3
C6
D27
Question 7
A room is \(15\text{ ft}\) by \(10\text{ ft}\). Which drawing size uses the scale \(1\text{ in}=5\text{ ft}\)?Actual room: \(15\text{ ft}\) by \(10\text{ ft}\) (shape only).
A\(75\text{ in}\) by \(50\text{ in}\)
B\(10\text{ in}\) by \(5\text{ in}\)
C\(3\text{ in}\) by \(2\text{ in}\)
D\(20\text{ in}\) by \(15\text{ in}\)
Question 8
A map uses the scale \(\frac{1}{2}\text{ in}=4\text{ mi}\). How many miles are represented by \(5\text{ in}\)?
A\(20\text{ mi}\)
B\(10\text{ mi}\)
C\(80\text{ mi}\)
D\(40\text{ mi}\)
Question 9
A rectangle is drawn \(6\text{ in}\) by \(4\text{ in}\) at \(1\text{ in}=5\text{ ft}\). What are its dimensions at \(1\text{ in}=10\text{ ft}\)?Original drawing at \(1\text{ in}=5\text{ ft}\) (shown at half size).
A\(12\text{ in}\) by \(8\text{ in}\)
B\(3\text{ in}\) by \(2\text{ in}\)
C\(6\text{ in}\) by \(4\text{ in}\)
D\(30\text{ in}\) by \(20\text{ in}\)
Question 10
Mei wants a drawing of a \(60\text{ ft}\) tall building to be exactly \(6\text{ in}\) tall. Which scale should she use?
A\(1\text{ in}=6\text{ ft}\)
B\(1\text{ in}=10\text{ ft}\)
C\(1\text{ in}=360\text{ ft}\)
D\(1\text{ in}=54\text{ ft}\)
🎉 Quiz complete!
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Remember:
Standard 7.G.A.1: solve problems about actual lengths and areas from a scale drawing.
A scale such as \(1\text{ in}=5\text{ ft}\) is a unit rate: multiply drawing lengths by 5 to get actual feet.
To change a scale into a scale factor, write both lengths in the same unit.
Areas change by the square of the scale factor, not by the scale factor itself.
To redraw at a new scale, find the actual lengths first, then divide by the new scale.
