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Math Problems
Grade 7
Scale drawings: word problems
Whitratate
\newline
2023
2023
2023
−
2024
-2024
−
2024
Post Test Grade
07
07
07
AASA Math Mimic
\newline
Question
26
26
26
\newline
Zoom
\newline
Question
\newline
Normal
\newline
Tylet has a box with a surface area of
62
62
62
square feet.
\newline
What is the volume of the box, in cubic feet? Enter your answer in the box below.
\newline
Volume of the box:
□
\square
□
cubic feet
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FITIO THE MISSTNG NUMIBERS
\newline
The Poughkeepsie Pilots played a three-game series against the Bowie Badgers, and this is a table of their hits, at-bats and batting averages. But the Badgers must have taken a bite of this scorecard, because some of the numbers are missing! Fill in the missing numbers.
\newline
\begin{tabular}{|l|c|c|l|}
\newline
\hline PLAYER & HITS & AT-BATS & \begin{tabular}{c}
\newline
BATTING \\
\newline
AVERAGE
\newline
\end{tabular} \\
\newline
\hline Desmond & &
9
9
9
& .
333
333
333
\\
\newline
\hline Chris &
6
6
6
& & .
500
500
500
\\
\newline
\hline Omar &
2
2
2
&
8
8
8
& \\
\newline
\hline Quan & &
15
15
15
& .
400
400
400
\\
\newline
\hline Matthew & &
12
12
12
& .
167
167
167
\\
\newline
\hline Leonard &
3
3
3
& & .
300
300
300
\\
\newline
\hline Oliver &
3
3
3
&
12
12
12
&
250
250
250
\\
\newline
\hline William &
2
2
2
&
10
10
10
& .
200
200
200
\\
\newline
\hline Darrell &
4
4
4
& & .
308
308
308
\\
\newline
\hline TOTALS & & & \\
\newline
\hline
\newline
\end{tabular}
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What is the topic of the graph? ?. What does the
x
x
x
axis represent? What does the
y
y
y
axis represent? Which form of abuse and harassment are women most likely to experience in the past month? What about men? Which form of abuse and harassment do you think is most likely to occur in school? How Often Do U.S. Workers Experience Abuse & Harassment Share of U.S. workers who have been subjected to the following (
2015
2015
2015
) (c) Theta estatistacharts
n
=
2
,
005
n=2,005
n
=
2
,
005
U.S. workers aged
25
−
71
25-71
25
−
71
Source: RAND Corporation statista
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Johnny measured a city park and made a scale drawing. The soccer field is
6
6
6
millimeters wide in the drawing. The actual field is
60
60
60
meters wide. What scale did Johnny use for the drawing?
\newline
1
1
1
millimeter :
_
_
_
\_\_\_
___
meters
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Anithmetic and Algebra Review
\newline
Converting between metric and U.S. Customary unit systems
\newline
A boy weighs
77
77
77
pounds. How much does he weigh in kilograms? Use the following conversion:
1
1
1
kilogram is
2.2
2.2
2.2
pounds.
\newline
kg
\text{kg}
kg
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An accountant for a certain state models the sales tax revenue that the state has earned over several years. The model shows that sales tax revenue grew by
15
%
15\%
15%
per year until
2
2
2
years ago, when it started to grow by
$
179.5
\$179.5
$179.5
million per year. If the sales tax revenue
2
2
2
years ago was
$
2.1
\$2.1
$2.1
billion, approximately how much lower is the sales tax revenue this year than it would be if it had continued growing by
15
%
15\%
15%
per year? (Note:
1
1
1
billion
=
1
,
000
= 1,000
=
1
,
000
million)
\newline
Choose
1
1
1
answer:
\newline
(A)
$
136
\$136
$136
million
\newline
(B)
$
318
\$318
$318
million
\newline
(C)
$
2.05
\$2.05
$2.05
billion
\newline
(D)
$
5.24
\$5.24
$5.24
billion
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Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.
\newline
S
S
S
represents the size of the files on the drive (in megabytes) after
t
t
t
seconds.
\newline
S
=
5
t
+
45
S=5t+45
S
=
5
t
+
45
\newline
What was the file size on the drive before the transfer?
\newline
□
\square
□
megabytes
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A baker uses a coffee mug with a diameter of
8
c
m
8 \mathrm{~cm}
8
cm
to cut out circular cookies from a big sheet of cookie dough.
\newline
What is the area
A
A
A
of each cookie? Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
c
m
2
\mathrm{~cm}^{2}
cm
2
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A park has a large circle painted in the middle of the playground area. The circle is divided into
4
4
4
equal sections, and each section is painted a different color. The radius of the circle is
10
10
10
meters.
\newline
What is the area
A
A
A
of each section of the circle?
\newline
Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
m
2
\mathrm{m}^{2}
m
2
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An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is
24
π
24 \pi
24
π
inches. The artist plans to fill the inside of each dot with blue colored glass.
\newline
What is the area of the blue glass will be needed to fill each butterfly dot?
\newline
Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
inches
2
\text {inches }^{2}
inches
2
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1
1
1
. Fungsi Tujuan : Meminimumkan
C
=
3
×
1
+
4
×
2
\mathrm{C}=3 \times 1+4 \times 2
C
=
3
×
1
+
4
×
2
\newline
Fungsi Batasan :
1
1
1
).
2
×
1
+
X
2
≥
6.000
2 \times 1+X 2 \geq 6.000
2
×
1
+
X
2
≥
6.000
\newline
2
2
2
).
x
1
+
3
x
2
≥
9.000
x 1+3 x 2 \geq 9.000
x
1
+
3
x
2
≥
9.000
\newline
x
1
≥
0
,
x
2
≥
0
x 1 \geq 0, x 2 \geq 0
x
1
≥
0
,
x
2
≥
0
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1
1
1
. Fungsi Tujuan: Meminimumkan
C
=
3
×
1
+
4
×
2
\mathrm{C}=3 \times 1+4 \times 2
C
=
3
×
1
+
4
×
2
\newline
Fungsi Batasan :
1
1
1
).
2
X
1
+
X
2
≥
6.000
2 X 1+X 2 \geq 6.000
2
X
1
+
X
2
≥
6.000
\newline
2
2
2
).
X
1
+
3
x
2
≥
9.000
X 1+3 x 2 \geq 9.000
X
1
+
3
x
2
≥
9.000
\newline
x
1
≥
0
,
x
2
≥
0
x 1 \geq 0, x 2 \geq 0
x
1
≥
0
,
x
2
≥
0
Get tutor help
6
6
6
. Each cuboid in Figure
1
1
1
is made up of
4
4
4
identical wooden blocks. Each wooden block is a cuboid with square faces at its opposite ends. The
3
3
3
cuboids in Figure
1
1
1
are stacked together to form the cuboid in Figure
2
2
2
. The length of the cuboid in figure
2
2
2
is
60
c
m
60 \mathrm{~cm}
60
cm
. Find the volume of the cuboid in Figure
2
2
2
.
\newline
Figure
1
1
1
\newline
B
B
B
\newline
Figure
2
2
2
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P Connected
\newline
New Tab
\newline
Biznet hotspot - P...
\newline
Beranda - Canva
\newline
Numerical Reasoning Question
2
2
2
of
2
2
2
\newline
Use the information from the tables or araphs to derive the solution.
\newline
Based on the device type breakdown, how many cl website were done via Mobile iOS (round up to the number)?
\newline
415
415
415
\newline
566
566
566
\newline
813
813
813
\newline
2
2
2
,
961
961
961
\newline
4
4
4
,
256
256
256
\newline
Back
Get tutor help
3
3
3
A solid with surface area
8
8
8
square units is dilated by a scale factor of
k
k
k
to obtain a solid with surface area
A
A
A
square units. Find the value of
k
k
k
which leads to an image with each given surface area.
\newline
PART A
\newline
512
512
512
square units
\newline
PART B
\newline
1
2
\frac{1}{2}
2
1
square unit
\newline
PART C
\newline
8
8
8
square units
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(
1
1
1
) A solid with volume
8
8
8
cubic units is dilated by a scale factor of
k
k
k
to obtain a solid with volume
V
V
V
cubic units. Find the value of
k
k
k
which results in an image with each given volume.
\newline
PART A
\newline
216
216
216
cubic units
\newline
PART B
\newline
1
1
1
cubic unit
\newline
PART C
\newline
1
1
1
,
000
000
000
cubic units
Get tutor help
2
2
2
.
1
1
1
Circle Graphs
\newline
m
\newline
Sianni Cruz
\newline
04
/
11
/
2
04 / 11 / 2
04/11/2
\newline
hs
\newline
Question
9
9
9
, *
8
8
8
.
1
1
1
.
19
19
19
\newline
HW Score:
46.15
%
,
6
46.15 \%, 6
46.15%
,
6
of
13
13
13
poir
\newline
Points:
0
0
0
of
1
1
1
\newline
The circle graph shows music recordings sold by a music
\newline
RECORDS SOLD store. A music store sells
2500
2500
2500
recordings a month. How nany are classical?
\newline
Pop/Rock
60
%
60 \%
60%
\newline
Country
9
%
9 \%
9%
\newline
R
&
B
8
%
R \& B 8 \%
R
&
B
8%
\newline
Classical
7
7
7
\%
\newline
□
\square
□
Gospel
16
%
16 \%
16%
\newline
are classical.
\newline
Ask my instructor
\newline
Clear all
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2
2
2
. The exchange route for sterling against the US dollar for
15
15
15
days in January
2003
2003
2003
is given in the following table. Calculate the mean, median and mode of this data.
\newline
\begin{tabular}{llllllll}
\newline
1
1
1
.
5977
5977
5977
&
1
1
1
.
6028
6028
6028
&
1
1
1
.
6108
6108
6108
&
1
1
1
.
6067
6067
6067
&
1
1
1
.
5995
5995
5995
&
1
1
1
.
6064
6064
6064
&
1
1
1
.
6080
6080
6080
&
1
1
1
.
6054
6054
6054
\\
\newline
1
1
1
.
6098
6098
6098
&
1
1
1
.
6049
6049
6049
&
1
1
1
.
6064
6064
6064
&
1
1
1
.
6179
6179
6179
&
1
1
1
.
6082
6082
6082
&
1
1
1
.
6095
6095
6095
&
1
1
1
.
6134
6134
6134
&
\newline
\end{tabular}
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A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was
533
533
533
with a margin of error of
27
27
27
. Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?
\newline
565
565
565
.
7
7
7
\newline
516
516
516
\newline
493
493
493
.
9
9
9
\newline
564
564
564
.
6
6
6
Get tutor help
A scale on a map shows that
2
2
2
.
5
5
5
centimeters represents
15
15
15
kilometers.
\newline
What number of actual kilometers are represented by
17
17
17
.
5
5
5
centimeters on the map?
\newline
□
\square
□
kilometers
Get tutor help
A cone has a volume of
365
m
m
3
365 \mathrm{~mm}^{3}
365
mm
3
. If a scale factor of
0
0
0
.
5
5
5
were applied to the cone, what would its new volume be?
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Alana drew a scale drawing of an apartment. The broom closet, which is
6
6
6
feet wide in real life, is
3
3
3
inches wide in the drawing. What is the scale of the drawing?
\newline
1
1
1
inch :
_
_
_
\_\_\_
___
feet
Get tutor help
Jenna measured a swimming pool and made a scale drawing. The pool is
20
centimeters
20\,\text{centimeters}
20
centimeters
long in the drawing. The actual pool is
40
meters
40\,\text{meters}
40
meters
long. What scale did Jenna use for the drawing?
\newline
1
centimeter
:
_
_
_
_
meters
1\,\text{centimeter} : \_\_\_\_\,\text{meters}
1
centimeter
:
____
meters
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Scarlett drew a scale drawing of a campsite. The tent, which is
8
8
8
feet wide in real life, is
2
2
2
inches wide in the drawing. What is the scale of the drawing?
\newline
1
1
1
inch :
_
_
\_\_
__
feet
Get tutor help
Eric drew a scale drawing of the high school. The parking lot, which is
54
54
54
meters wide in real life, is
6
6
6
centimeters wide in the drawing. What is the scale of the drawing?
\newline
1
1
1
centimeter :
_
_
_
_
\_\_\_\_
____
meters
\newline
Get tutor help
Quincy measured a house and made a scale drawing. The living room, which is
4
4
4
meters long in real life, is
2
2
2
millimeters long in the drawing. What is the scale of the drawing?
\newline
1
1
1
millimeter :
_
_
_
\_\_\_
___
meters
\newline
Get tutor help
Estimated Population Of The American Colonies
\newline
From
1720
1720
1720
To
1750
1750
1750
\newline
Source: U.S. Bureau of the Census (thousands)
\newline
\begin{tabular}{|l|c|c|c|c|}
\newline
\hline Colony &
1720
1720
1720
&
1730
1730
1730
&
1740
1740
1740
&
1750
1750
1750
\\
\newline
\hline Maine & - & - & - &
10
10
10
\\
\newline
\hline New Hampshire &
23
23
23
&
24
24
24
&
25
25
25
&
28
28
28
\\
\newline
\hline Rhode Island &
12
12
12
&
25
25
25
&
28
28
28
&
31
31
31
\\
\newline
\hline Connecticut &
59
59
59
&
67
67
67
&
90
90
90
&
111
111
111
\\
\newline
\hline
\newline
\end{tabular}
\newline
What was the estimated population of Rhode Island in
1750
?
1750 ?
1750
?
\newline
A
45
45
45
,
000
000
000
\newline
B
111
111
111
,
000
000
000
\newline
C
31
31
31
,
000
000
000
\newline
D
310
310
310
,
000
000
000
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3
3
3
apple es each) Randy
\newline
Rabia walks dogs after school to make extra money. Once a week, she walks
5
5
5
dogs for
$
3
\$ 3
$3
each. She also receives
$
10
\$ 10
$10
in tips each week.
\newline
How much money does Rabia make walking dogs in one week?
\newline
- sices
(
_
×
$
…
)
+
$
…
=
$
\text { - sices }\left(\_\times \$ \ldots\right)+\$ \ldots=\$
- sices
(
_
×
$
…
)
+
$
…
=
$
Get tutor help
Visualizing Subtraction - Item
30264
30264
30264
\newline
Question
6
6
6
of
7
7
7
\newline
Tavon has
2
2
2
dollars. Julia has
4
4
4
dollars. Which picture shows how many dollars each person will have if Tavon gives one of his dollars to Julia?
\newline
CLEAR
\newline
CHECK
\newline
Tavon's Dollars
\newline
Tavon's Dollars
\newline
Julia's Dollars
\newline
Tavon's Dollars Julia's Dollars
\newline
Tavon's Dollars Julia's Dollars
Get tutor help
The value of
x
x
x
is decreased by
14
%
14 \%
14%
. Which expression represents this situation?
\newline
0.986
x
0.986 x
0.986
x
\newline
0.86
x
0.86 x
0.86
x
\newline
0.14
x
0.14 x
0.14
x
\newline
14
x
14 x
14
x
Get tutor help
The table shows the number of bags of different flavors of potato chips on an store shelf. A customer will randomly select a bag from the shelf. Which information on the table?
\newline
a. The flavor is most likely to be plain.
\newline
b. The flavor is twice as likely to be jalapeno than ranch.
\newline
c. The flavor is equally likely to be any of the flavors.
\newline
d. The flavor is more like to be Ranch than plain or jalapeno.
\newline
\newline
Flavor
\newline
Number of bags
\newline
\newline
Plain
\newline
7
7
7
\newline
\newline
Jalapeno
\newline
13
13
13
\newline
\newline
Ranch
\newline
21
21
21
\newline
\newline
Nacho Cheese
\newline
19
19
19
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Infinity Learn
\newline
Embibe
\newline
ScoreKhel
\newline
Topics: Circle
\newline
A man has bent a circular wire of radius
49
cm
49\text{cm}
49
cm
to form a square. Find the sides of a square.
\newline
100
cm
100\text{cm}
100
cm
\newline
50
cm
50\text{cm}
50
cm
\newline
98
cm
98\text{cm}
98
cm
Get tutor help
high temperatures for City
1
1
1
\newline
6
6
6
. The double box-and-whisker plot represents the points scored per game by two basketball teams during a
20
20
20
-game season. Is the number of points scored per game significantly greater for one team than the other? Explain.
\newline
282
282
282
Big Ideas Math: Modeling Real Life Grade
7
7
7
\newline
Copyright extcopyright{} Big
\newline
Resources by Chapter
Get tutor help
A certain town has an area of
4
4
4
.
36
36
36
square miles. What is the area, in square yards, of this town? (
1
1
1
mile
=
1
,
760
=1,760
=
1
,
760
yards)
\newline
A)
404
404
404
1
,
760
×
4.36
=
7
,
673
1,760 \times 4.36=7,673
1
,
760
×
4.36
=
7
,
673
\newline
B)
7
7
7
,
674
674
674
\newline
C)
710
710
710
,
459
459
459
\newline
\newline
D)
13
,
505
,
536
13,505,536
13
,
505
,
536
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A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?
\newline
right hexagonal prism
\newline
sphere
\newline
right triangular prism
\newline
right cone
Get tutor help
A scale on a blue print drawing of a house shows that
10
10
10
centimeters represents
2
2
2
meters.
\newline
What number of actual meters are represented by
18
18
18
centimeters on the blue print?
\newline
meters
Get tutor help
Polygon
C
C
C
has an area of
7
7
7
square units. Jennie drew a scaled version of Polygon
C
C
C
and labeled it Polygon
D
D
D
. Polygon
D
D
D
has an area of
28
28
28
square units.
\newline
What scale factor did Jennie use to go from Polygon
C
C
C
to Polygon
D
D
D
?
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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 units
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Polygon
Y
Y
Y
has an area of
11
11
11
square units. Celia drew a scaled version of Polygon
Y
Y
Y
using a scale factor of
3
3
3
and labeled it Polygon
Z
Z
Z
.
\newline
What is the area of Polygon
Z
Z
Z
?
\newline
square units
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We want to solve the following equation.
\newline
x
+
1
3
=
2
x
+
2
\sqrt[3]{x+1}=2 x+2
3
x
+
1
=
2
x
+
2
\newline
Two of the solutions are
x
≈
−
0.6
x \approx-0.6
x
≈
−
0.6
and
x
=
−
1
x=-1
x
=
−
1
.
\newline
Find the other solution.
\newline
Hint: Use a graphing calculator.
\newline
Round your answer to the nearest tenth.
\newline
x
≈
x \approx
x
≈
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We want to solve the following equation.
\newline
2
x
+
8
=
5
log
3
(
x
)
\sqrt{2 x+8}=5 \log _{3}(x)
2
x
+
8
=
5
lo
g
3
(
x
)
\newline
One of the solutions is
x
≈
352
x \approx 352
x
≈
352
.
\newline
Find the other solution.
\newline
Hint: Use a graphing calculator.
\newline
Round your answer to the nearest tenth.
\newline
x
≈
x \approx
x
≈
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We want to solve the following equation.
\newline
x
2
−
4
=
2
x
3
x^{2}-4=\sqrt[3]{2 x}
x
2
−
4
=
3
2
x
\newline
One of the solutions is
x
≈
2.4
x \approx 2.4
x
≈
2.4
.
\newline
Find the other solution.
\newline
Hint: Use a graphing calculator.
\newline
Round your answer to the nearest tenth.
\newline
x
≈
x \approx
x
≈
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We want to solve the following equation.
\newline
4
x
2
−
16
x
+
13
=
3
log
2
(
x
)
4 x^{2}-16 x+13=3 \log _{2}(x)
4
x
2
−
16
x
+
13
=
3
lo
g
2
(
x
)
\newline
One of the solutions is
x
≈
1.1
x \approx 1.1
x
≈
1.1
.
\newline
Find the other solution.
\newline
Hint: Use a graphing calculator.
\newline
Round your answer to the nearest tenth.
\newline
x
≈
x \approx
x
≈
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Morgan is designing a rectangular quilt. The quilt will be
1
3
5
m
1 \frac{3}{5} \mathrm{~m}
1
5
3
m
wide and will have an area of
6
m
2
6 \mathrm{~m}^{2}
6
m
2
.
\newline
How long is the quilt?
\newline
m
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Drake and
C
l
e
o
\mathrm{Cleo}
Cleo
are looking for a location to open their new yoga studio. A fellow studio owner suggests a location that will fit
28
28
28
students in a
756
756
756
square foot area. Assuming that each student has a spot
x
x
x
feet wide and
3
3
3
times as long, what is the length, in feet, of the space they are allotting to each student?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
feet
\newline
(B)
3
3
3
feet
\newline
(C)
9
9
9
feet
\newline
(D)
27
27
27
feet
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Mindy is a sculptor. She has a cylinder of stone with a radius of
3
3
3
meters
(
m
)
(\mathrm{m})
(
m
)
and a height of
2
m
2 \mathrm{~m}
2
m
. She needs to carve out a sphere of radius
1
m
1 \mathrm{~m}
1
m
from the cylinder. Mindy must cut away
v
3
π
\frac{v}{3} \pi
3
v
π
cubic meters
(
m
3
)
\left(\mathrm{m}^{3}\right)
(
m
3
)
of stone from the cylinder in order to be left with the sphere. What is the value of
v
v
v
?
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A cylindrical soda can has a volume of
108
π
108 \pi
108
π
cubic centimeters
(
c
m
3
)
\left(\mathrm{cm}^{3}\right)
(
cm
3
)
and a height of
12
c
m
12 \mathrm{~cm}
12
cm
. What is the surface area of the soda can in square centimeters?
\newline
Choose
1
1
1
answer:
\newline
(A)
18
π
c
m
2
18 \pi \mathrm{cm}^{2}
18
π
cm
2
\newline
(B)
36
π
c
m
2
36 \pi \mathrm{cm}^{2}
36
π
cm
2
\newline
(C)
72
π
c
m
2
72 \pi \mathrm{cm}^{2}
72
π
cm
2
\newline
(D)
90
π
c
m
2
90 \pi \mathrm{cm}^{2}
90
π
cm
2
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A soap company changes the design of its soap from a cone to a sphere. The cone had a height of
3
3
3
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
and a radius of
2
c
m
2 \mathrm{~cm}
2
cm
. The sphere has a diameter of
3
c
m
3 \mathrm{~cm}
3
cm
. The new design contains
π
f
\frac{\pi}{f}
f
π
cubic centimeters more soap than the old design. What is the value of
f
f
f
?
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s
=
−
11.8
(
t
−
1.2
)
2
+
17
s=-11.8(t-1.2)^{2}+17
s
=
−
11.8
(
t
−
1.2
)
2
+
17
\newline
The equation models the horizontal distance,
s
s
s
, in centimeters, of a particular image on a computer screen from the left-hand edge of the screen,
t
t
t
seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
.
2
2
2
centimeters
\newline
(B)
5
5
5
.
2
2
2
centimeters
\newline
(C)
17
17
17
centimeters
\newline
(D)
34
34
34
centimeters
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A
(
x
)
=
(
8
+
2
x
)
2
A(x)=(8+2 x)^{2}
A
(
x
)
=
(
8
+
2
x
)
2
\newline
Carmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border
x
x
x
inches wide. What are the dimensions of the picture without the border?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
by
2
2
2
inches
\newline
(B)
6
6
6
by
6
6
6
inches
\newline
(C)
8
8
8
by
8
8
8
inches
\newline
(D)
10
10
10
by
10
10
10
inches
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2
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