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Math Problems
Grade 7
Solve proportions
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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