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Math Problems
Grade 7
Solve proportions
A scale on a blue print drawing of a house shows that
6
6
6
centimeters represents
3
3
3
meters.
\newline
What number of centimeters on the blue print represents an actual distance of
27
27
27
meters?
\newline
centimeters
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Polygon
V
V
V
has an area of
1
1
1
square unit. Jun-seo drew a scaled version of Polygon
V
V
V
using a scale factor of
7
7
7
and labeled it Polygon
W
W
W
.
\newline
What is the area of Polygon
W
W
W
?
\newline
square units
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Aliyyah is playing a game using dice. Each player takes turns rolling and adding their roll to their score.
\newline
Aliyyah started with
−
19
-19
−
19
points and ended with
7
7
7
points.
\newline
How many points did Aliyyah score during the game?
\newline
points
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Elton is a candle maker. Each
15
c
m
15 \mathrm{~cm}
15
cm
long candle he makes burns evenly for
6
6
6
hours.
\newline
If Elton makes a
45
c
m
45 \mathrm{~cm}
45
cm
long candle, how long would it burn?
\newline
hours
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A group of kangaroo friends had a jumping contest and measured their jumps. Pocket jumped
16
16
16
meters, Hopster jumped
9
9
9
meters, and Joey jumped
5
5
5
meters.
\newline
Find the mean length.
\newline
m
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Alicia drove at a constant speed and traveled
183
183
183
miles in
3
3
3
hours.
\newline
How many miles would Alicia travel in
11
11
11
hours at the same speed?
\newline
miles
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Luke can paint
91
91
91
portraits in
7
7
7
weeks.
\newline
How many portraits can Luke paint in
4
4
4
weeks?
\newline
portraits
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Henry can write
5
5
5
pages of his novel in
3
3
3
hours.
\newline
At this rate, how many pages can Henry write in
8
8
8
hours?
\newline
pages
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Amanda can jog
18
18
18
miles in
5
5
5
hours.
\newline
At this rate, how many miles can Amanda jog in
4
4
4
hours?
\newline
miles
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Bill can hit a bucket of
323
323
323
golf balls in
17
17
17
hours.
\newline
How many golf balls can Bill hit in
23
23
23
hours?
\newline
golf balls
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Delilah does
184
184
184
jumping jacks in
4
4
4
minutes. She does her jumping jacks at a constant rate.
\newline
How many jumping jacks can Delilah do per minute?
\newline
jumping jacks
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Sophie Ruth is eating a
50
50
50
-gram chocolate bar which contains
30
%
30 \%
30%
cocoa.
\newline
How many grams of cocoa are in the chocolate bar?
\newline
grams
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Mark can make
42
42
42
birthday cakes in
7
7
7
days.
\newline
How many birthday cakes can Mark make in
5
5
5
days?
\newline
birthday cakes
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Robin can clean
72
72
72
rooms in
6
6
6
days.
\newline
How many rooms can Robin clean in
9
9
9
days?
\newline
rooms
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Ann increased the quantities of all the ingredients in a recipe by
60
%
60 \%
60%
. She used
80
80
80
grams
(
g
)
(\mathrm{g})
(
g
)
of cheese.
\newline
How much cheese did the recipe require?
\newline
g
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Vito uses
9
9
9
liters of water to water
24
24
24
flower pots. He is wondering how many liters of water
(
w
)
(w)
(
w
)
it would take to water
40
40
40
flower pots. He assumes he'll use the same amount of water on each pot.
\newline
How many liters of water does it take to water
40
40
40
flower pots?
\newline
liters
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Scott likes to run long distances. He can run
20
k
m
20 \mathrm{~km}
20
km
in
85
85
85
minutes. He wants to know how many minutes
(
m
)
(m)
(
m
)
it will take him to run
52
k
m
52 \mathrm{~km}
52
km
at the same pace.
\newline
How long will it take Scott to run
52
k
m
52 \mathrm{~km}
52
km
?
\newline
minutes
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Stan's cookie recipe makes
24
24
24
cookies and calls for exactly
384
384
384
sprinkles. He is wondering how many sprinkles
(
p
)
(p)
(
p
)
he will need to make
60
60
60
cookies. He assumes each cookie will have the same number of sprinkles.
\newline
How many sprinkles does Stan need to make
60
60
60
cookies?
\newline
sprinkles
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Jovie is maintaining a camp fire. She has kept the fire steadily burning for
10
10
10
hours with
15
15
15
logs. She wants to know how many hours (h) she could have kept the fire going with
9
9
9
logs. She assumes all logs are the same.
\newline
How many hours can Jovie keep the fire going with
9
9
9
logs?
\newline
hours
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Mandy works construction. She knows that a
5
5
5
meter long metal bar has a mass of
40
k
g
40 \mathrm{~kg}
40
kg
. Mandy wants to figure out the mass
(
w
)
(w)
(
w
)
of a bar made out of the same metal that is
3
3
3
meters long and the same thickness.
\newline
What is the mass of the shorter bar?
\newline
k
g
\mathrm{kg}
kg
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Mika can eat
21
21
21
hot dogs in
6
6
6
minutes. She wants to know how many minutes
(
m
)
(m)
(
m
)
it would take her to eat
35
35
35
hot dogs if she can keep up the same pace.
\newline
How many minutes would Mika need to eat
35
35
35
hot dogs?
\newline
minutes
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Together, Raquel and Miray can spread the mulch through the yard in
2
2
2
hours. Raquel would take
0
0
0
.
8
8
8
times as many hours as Miray would take to spread the mulch alone.
\newline
How long would it take Miray to spread the mulch alone?
\newline
hours
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Dane is using two differently sized water pumps to clean up flooded water. The larger pump can remove the water alone in
240
m
i
n
240 \mathrm{~min}
240
min
. The smaller pump can remove the water alone in
400
m
i
n
400 \mathrm{~min}
400
min
.
\newline
How long would it take the pumps to remove the water working together?
\newline
minutes
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Deshawn and Tyriq can weed their garden in
30
30
30
minutes together. Alone, it takes Tyriq
75
75
75
minutes to weed the garden.
\newline
How long does it take Deshawn to weed the garden alone?
\newline
minutes
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Sophie Ruth is eating a
50
50
50
-gram chocolate bar which contains
30
%
30 \%
30%
cocoa. How many grams of cocoa are in the chocolate bar?
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Patricia made
14
14
14
pints of punch. How many fluid ounces of punch did she make?
\newline
(
1
1
1
pint
=
16
=16
=
16
fluid ounces)
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The double number lines show the ratio of cups to gallons.
\newline
How many cups are in
3
3
3
gallons?
\newline
cups
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Mabel spends
4
4
4
hours to edit a
3
3
3
minute long video. She edits at a constant rate.
\newline
How long does Mabel spend to edit a
15
15
15
-minute long video?
\newline
hours
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Amara needs
90
90
90
kilograms of meat to feed her
4
4
4
pet dragons each day. Each pet dragon eats the same amount of meat.
\newline
How many kilograms of meat does Amara need to feed
2
2
2
pet dragons each day?
\newline
kilograms
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Ben the camel drinks tea (so classy!). He drinks
1
1
1
,
050
050
050
liters of tea every
6
6
6
days. Ben drinks the same amount each day.
\newline
How many liters of tea does Ben drink every
2
2
2
days?
\newline
liters
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Bao can eat
12
12
12
chicken wings in
3
3
3
minutes. She eats the chicken wings at a constant rate.
\newline
How many chicken wings can Bao eat in
12
12
12
minutes?
\newline
chicken wings
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Nadine has
4
4
4
gallons of gas in her car. If the fuel efficiency of her car is
23
23
23
miles per gallon, how many miles can Nadine drive before running out of gas?
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Yohan is blowing up a spherical balloon. He blows
108
π
108 \pi
108
π
cubic centimeters of air with every breath. It takes him
72
72
72
breaths to fully inflate the balloon. What is the radius of the balloon in centimeters when it is fully inflated?
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Stephanie is twice as old as her sister Rosa. If Stephanie is
18
\mathbf{1 8}
18
years old, how old is Rosa?
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Fabio and Carlos play on a basketball team together. In the last game, Fabio had
7
7
7
points less than
2
2
2
times as many points as Carlos. Fabio scored
31
31
31
points in the game. How many points did Carlos score in the last game?
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Solve for x.
\newline
7
3
x
=
21
\frac{7}{3}x= 21
3
7
x
=
21
\newline
x
=
x =
x
=
______
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Solve for
v
v
v
in the proportion.
v
6
=
25
30
\frac{v}{6} = \frac{25}{30}
6
v
=
30
25
v
=
v =
v
=
_____
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