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Math Problems
Grade 6
Scale drawings: word problems
Polygon has an area of
square units
\text{square units}
square units
. Celia drew a scaled version of Polygon using a scale factor of and labeled it Polygon.
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Celine measured the high school and made a scale drawing. The scale she used was
1
1
1
millimeter :
10
10
10
meters. If the actual length of the parking lot is
120
120
120
meters, how long is the parking lot in the drawing?
\newline
\newline
_
_
_
_
\_\_\_\_
____
millimeters
\newline
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Jackie drew a scale drawing of a house and its lot. The scale of the drawing was
1
centimeter
:
8
meters
1\,\text{centimeter} : 8\,\text{meters}
1
centimeter
:
8
meters
. In the drawing, the front lawn is
4
centimeters
4\,\text{centimeters}
4
centimeters
wide. What is the width of the actual lawn?
\newline
\newline
____ meters
\newline
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Darell made a scale drawing of a hotel. The scale of the drawing was
1
1
1
inch :
7
7
7
feet. A room in the hotel is
14
14
14
feet wide in real life. How wide is the room in the drawing?
\newline
____ inches
\newline
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Finn measured an office building and made a scale drawing. The scale of the drawing was
1
1
1
inch
:
2
: 2
:
2
feet. If the actual length of a desk is
4
4
4
feet, how long is the desk in the drawing?
\newline
\newline
_
_
_
_
\_\_\_\_
____
inches
\newline
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Lillian drew a scale drawing of a summer camp. She used the scale
1
1
1
millimeter :
4
4
4
meters. If the actual length of the sand volleyball court is
16
16
16
meters, how long is the volleyball court in the drawing?
\newline
\newline
____ millimeters
\newline
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Carmen measured the middle school and made a scale drawing. The scale she used was
1
inch
:
8
feet
1\,\text{inch} : 8\,\text{feet}
1
inch
:
8
feet
. The gym is
80
feet
80\,\text{feet}
80
feet
long in real life. How long is the gym in the drawing?
\newline
\newline
____ inches
\newline
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Regan made a scale drawing of the elementary school. The scale she used was
1
1
1
millimeter :
9
9
9
meters. The actual width of the schoolyard is
63
63
63
meters. How wide is the schoolyard in the drawing?
\newline
\newline
____ millimeters
\newline
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Lester made a scale drawing of a picnic area near the river. In real life, the picnic area is
48
48
48
yards long. It is
6
6
6
inches long in the drawing. What scale did Lester use?
\newline
1
1
1
inch :
_
_
_
\_\_\_
___
yards
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Myra drew a scale drawing of a game room. The scale she used was
1
1
1
inch :
5
5
5
feet. The air hockey table is
10
10
10
feet long in real life. How long is the air hockey table in the drawing?
\newline
\newline
____ inches
\newline
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Duncan measured a house and made a scale drawing. The scale he used was
1
1
1
centimeter :
3
3
3
meters. The living room is
3
3
3
centimeters long in the drawing. How long is the actual living room?
\newline
\newline
_
_
_
_
\_\_\_\_
____
meters
\newline
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Carter measured a petting zoo and made a scale drawing. The scale he used was
1
1
1
centimeter :
10
10
10
meters. The actual length of the goat pen is
20
20
20
meters. How long is the pen in the drawing?
\newline
\newline
_
_
_
_
\_\_\_\_
____
centimeters
\newline
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Tracy measured a boarding school and made a scale drawing. The scale she used was
1
1
1
millimeter :
9
9
9
meters. In the drawing, a building at the school is
7
7
7
millimeters wide. What is the width of the actual building?
\newline
____ meters
\newline
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Carly measured a neighborhood park and made a scale drawing. The scale of the drawing was
1
1
1
inch :
7
7
7
yards. In the drawing, a soccer field in the park is
16
16
16
inches long. What is the length of the actual field?
\newline
\newline
_
_
_
_
\_\_\_\_
____
yards
\newline
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Haley drew a scale drawing of a game room. The scale she used was
1
1
1
inch :
3
3
3
feet. If the pool table is
2
2
2
inches long in the drawing, how long is the actual pool table?
\newline
\newline
_
_
\_\_
__
feet
\newline
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Olivia measured a farm and made a scale drawing. The scale of the drawing was
1
centimeter
:
4
meters
1\,\text{centimeter} : 4\,\text{meters}
1
centimeter
:
4
meters
. If the actual width of the goat pen is
8
meters
8\,\text{meters}
8
meters
, how wide is the pen in the drawing?
\newline
\newline
____ centimeters
\newline
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Grayson measured an apartment and made a scale drawing. He used the scale
1
1
1
inch :
2
2
2
feet. In the drawing, the broom closet is
2
2
2
inches wide. What is the width of the actual closet?
\newline
\newline
_
_
\_\_
__
feet
\newline
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Braden measured a swimming pool and made a scale drawing. He used the scale
1
1
1
millimeter :
2
2
2
meters. The pool is
18
18
18
millimeters long in the drawing. How long is the actual pool?
\newline
\newline
_
_
_
_
\_\_\_\_
____
meters
\newline
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Trisha made a scale drawing of a house. The scale of the drawing was
1
millimeter
:
3
meters
1\,\text{millimeter} : 3\,\text{meters}
1
millimeter
:
3
meters
. In the drawing, the garage is
2
millimeters
2\,\text{millimeters}
2
millimeters
wide. What is the width of the actual garage?
\newline
\newline
____ meters
\newline
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Wayne measured a neighborhood park and made a scale drawing. The scale he used was
1
centimeter
:
4
meters
1\,\text{centimeter} : 4\,\text{meters}
1
centimeter
:
4
meters
. The volleyball court is
2
centimeters
2\,\text{centimeters}
2
centimeters
wide in the drawing. How wide is the actual volleyball court?
\newline
\newline
____ meters
\newline
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Marco measured a game room and made a scale drawing. The air hockey table is
5
5
5
inches long in the drawing. The actual air hockey table is
10
10
10
feet long. What scale did Marco use for the drawing?
\newline
1
1
1
inch :
_
_
_
\_\_\_
___
feet
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Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is
7
7
7
inches wide in the drawing. The actual bakery is
42
42
42
feet wide. What is the scale of the drawing?
\newline
1
1
1
inch :
_
_
_
\_\_\_
___
feet
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Eric made a scale drawing of the auditorium. The stage, which is
35
35
35
feet wide in real life, is
5
5
5
inches wide in the drawing. What is the scale of the drawing?
1
1
1
inch
‾
\underline{\quad}
feet
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Polygon
C
C
C
has an area of
40
40
40
square units. Kennan drew a scaled version of Polygon
C
C
C
using a scale factor of
1
2
\frac{1}{2}
2
1
and labeled it Polygon
D
D
D
.
\newline
What is the area of Polygon
D
D
D
?
\newline
□
\square
□
square units
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Helen made a scale drawing of an office building. A desk, which is
6
6
6
feet long in real life, is
2
2
2
inches long in the drawing. What scale did Helen use for the drawing?
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On a scale drawing, a distance of
1
1
1
foot is represented by a segment
0.25
0.25
0.25
inch in length. How long must a segment on the scale drawing be to represent a
36
36
36
-inch distance?
\newline
A.
0.25
0.25
0.25
in.
\newline
B.
0.75
0.75
0.75
in.
\newline
C.
9
9
9
in.
\newline
D.
144
144
144
in.
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The rectangular floor of a classroom is
32
32
32
feet in length and
26
26
26
feet in width. A scale drawing of the floor has a length of
16
16
16
inches. What is the perimeter, in inches, of the floor in the scale drawing?
\newline
Answer:
□
\square
□
in.
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The rectangular floor of a classroom is
27
27
27
feet in length and
21
21
21
feet in width. A scale drawing of the floor has a length of
9
9
9
inches. What is the perimeter, in inches, of the floor in the scale drawing?
\newline
Answer:
□
\square
□
in.
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The rectangular floor of a classroom is
26
26
26
feet in length and
24
24
24
feet in width. A scale drawing of the floor has a length of
13
13
13
inches. What is the perimeter, in inches, of the floor in the scale drawing?
\newline
Answer:
□
\square
□
in.
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The rectangular floor of a classroom is
30
30
30
feet in length and
21
21
21
feet in width. A scale drawing of the floor has a length of
10
10
10
inches. What is the perimeter, in inches, of the floor in the scale drawing?
\newline
Answer:
□
\square
□
in.
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The rectangular floor of a classroom is
24
24
24
feet in length and
20
20
20
feet in width. A scale drawing of the floor has a length of
12
12
12
inches. What is the perimeter, in inches, of the floor in the scale drawing?
\newline
Answer:
□
\square
□
in.
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Polygon
C
C
C
has an area of
40
40
40
square units. Kennan drew a scaled version of Polygon
C
C
C
using a scale factor of
1
2
\frac{1}{2}
2
1
and labeled it Polygon
D
D
D
.
\newline
What is the area of Polygon
D
D
D
?
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It takes
b
b
b
minutes for Sylvia's bathtub to fill with water.
\newline
How many minutes will it take to fill
3
3
3
same-size bathtubs?
\newline
Write your answer as an expression.
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A right pentagonal prism is pictured below. Select the type of cross section formed when the figure is cut parallel to its base.
\newline
square
\newline
circle
\newline
hexagon
\newline
pentagon
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A triangle with a perimeter of
14
14
14
units is dilated by a scale factor of
3
3
3
. Find the perimeter of the triangle after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
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A square with an area of
6
6
6
units
2
^{2}
2
is dilated by a scale factor of
2
3
\frac{2}{3}
3
2
. Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
2
^{2}
2
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A lake near the Arctic Circle is covered by sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.
\newline
S
S
S
models the ice sheet's thickness (in meters) after
t
t
t
weeks.
\newline
S
=
−
0.25
t
+
4
S=-0.25t+4
S
=
−
0.25
t
+
4
\newline
What is the ice sheet's thickness at the beginning of spring?
\newline
m
e
t
e
r
s
meters
m
e
t
ers
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