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Math Problems
Grade 7
Scale drawings: scale factor word problems
Rectangle
\text{ }
has an area of
\text{ }
square units. Thea drew a scaled version of Rectangle
\text{ }
and labeled it Rectangle
\text{ }
. What scale factor did Thea use to go from Rectangle
\text{ }
to Rectangle
\text{ }
?
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Jennifer made a scale drawing of a house. The scale of the drawing was
1
1
1
inch
=
1
= 1
=
1
foot. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Wesley made a scale drawing of a neighborhood park. He used the scale
5
5
5
inches
=
1
= 1
=
1
yard. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
_
_
\_\_\_\_
____
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Franklin drew a scale drawing of a house and its lot. The scale he used was
9
9
9
millimeters
=
1
= 1
=
1
meter. What is the drawing's scale factor?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Liam drew a scale drawing of a county park. The scale of the drawing was
7
7
7
inches
=
1
= 1
=
1
yard. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Bella drew a scale drawing of the auditorium. She used the scale
1
1
1
inch
=
1
= 1
=
1
foot. What is the drawing's scale factor?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Mike drew a scale drawing of an Italian restaurant. He used the scale
3
3
3
millimeters
=
1
= 1
=
1
meter. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Erik made a scale drawing of a community college. He used the scale
7
millimeters
=
1
meter
7\,\text{millimeters} = 1\,\text{meter}
7
millimeters
=
1
meter
. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_____
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Jasper measured a house and its lot and made a scale drawing. The scale of the drawing was
1
1
1
inch
=
1
= 1
=
1
foot. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Nolan measured an apartment and made a scale drawing. He used the scale
9
9
9
centimeters
=
1
= 1
=
1
meter. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
_
_
\_\_\_\_
____
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Belle drew a scale drawing of a city park. The scale of the drawing was
9
millimeters
=
1
meter
9\,\text{millimeters} = 1\,\text{meter}
9
millimeters
=
1
meter
. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
\_\_\_\_\_
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Camilla measured a county park and made a scale drawing. She used the scale
5
5
5
inches
=
1
= 1
=
1
yard. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Kimi measured a restaurant and made a scale drawing. The scale she used was
1
1
1
inch
=
1
= 1
=
1
foot. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Nancy made a scale drawing of an apartment. The scale she used was
1
1
1
inch
=
=
=
1
1
1
foot. What is the drawing's scale factor?
\newline
Simplify your answer and write it as a fraction.
\newline
\_\_\_\_
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Ariel drew a scale drawing of a swimming pool. She used the scale
7
7
7
centimeters
=
1
= 1
=
1
meter. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Jane drew a scale drawing of a house. The scale she used was
3
3
3
millimeters
=
1
= 1
=
1
meter. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Isabelle measured a swimming pool and made a scale drawing. The scale she used was
7
millimeters
=
1
meter
7\,\text{millimeters} = 1\,\text{meter}
7
millimeters
=
1
meter
. What is the drawing's scale factor?
\newline
Simplify your answer and write it as a fraction.
\newline
\_\_\_\_\_
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Stacy made a scale drawing of a city. She used the scale
7
7
7
inches
=
1
= 1
=
1
yard. What is the scale factor of the drawing?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Daniel drew a scale drawing of the middle school. The scale he used was
1
1
1
inch
=
1
= 1
=
1
foot. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
\_\_
__
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Shane drew a scale drawing of a house and its lot. He used the scale
3
3
3
centimeters
=
1
= 1
=
1
meter. What scale factor does the drawing use?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
_
_
\_\_\_\_
____
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Edna drew a scale drawing of a city. The scale of the drawing was
1
1
1
inch
=
1
= 1
=
1
yard. What is the drawing's scale factor?
\newline
Simplify your answer and write it as a fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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The figure below shows a rope that circles the Earth. The radius of the Earth is
6371
6371
6371
kilometers.
\newline
Assuming the rope makes a perfect circle, what is the length of this rope?
\newline
Give your answer in terms of pi.
\newline
□
\square
□
kilometers
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Select the correct answer.
\newline
Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base?
\newline
A. a cube
\newline
B. a rectangular prism
\newline
C. a square pyramid
\newline
D. a right rectangular prism
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We want to find the intersection points of the graphs given by the following system of equations:
\newline
{
y
=
2
x
−
1
x
2
+
y
2
=
1
\left\{\begin{array}{l} y=2 x-1 \\ x^{2}+y^{2}=1 \end{array}\right.
{
y
=
2
x
−
1
x
2
+
y
2
=
1
\newline
One of the intersection points is
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
.
\newline
Find the other intersection point. Your answer must be exact.
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