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Math Problems
Grade 8
Multiply and divide rational numbers
The school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their end of year party.
\newline
Based on the ratio, if they bought
6
6
6
cheese pizzas, how many total pizzas did they buy?
\newline
□
\square
□
total pizzas
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You pack sandwiches for a mountain hike with your friends. Each sandwich takes
2
2
2
slices of bread, and each hiker eats one sandwich.
\newline
How many slices of bread are used for
n
n
n
hikers?
\newline
Write your answer as an expression.
\newline
□
\square
□
slices of bread
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Daniel gets a paycheck every
4
4
4
weeks. He works
x
x
x
hours each week.
\newline
How many hours does Daniel get paid for on each paycheck?
\newline
Write your answer as an expression.
\newline
□
\square
□
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Hannah's school hosted a book donation. There are
150
150
150
students at her school, and they donated a total of
b
b
b
books! Hannah donated
3
3
3
times as many as the average number of books each student donated.
\newline
How many books did Hannah donate?
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https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/PreCalculus/Probability%
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−
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-9
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Nancy's science class weighed
8
8
8
identical balls on a scale. The combined weight of the balls was
7.2
7.2
7.2
kilograms. What was the weight of each ball?
\newline
_
_
_
_
\_\_\_\_
____
kilograms
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Samantha bought
3
3
3
plastic discs. Each disc weighs
0.3
0.3
0.3
ounces. How much do the
3
3
3
plastic discs weigh in all?
\newline
_
_
_
_
\_\_\_\_
____
ounces
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A hose in a dessert factory pumps out
7.6
7.6
7.6
liters of chocolate syrup each minute. How many liters of chocolate syrup will the hose pump out in
2
2
2
minutes?
\newline
_
_
_
_
\_\_\_\_
____
liters
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A teddy-bear maker uses
4.7
4.7
4.7
ounces of stuffing for each bear. How many ounces will he need to use for
3
3
3
bears?
\newline
_
_
_
_
\_\_\_\_
____
ounces
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Use the model to find the product.
\newline
1
3
×
1
4
=
‾
/
‾
\frac{1}{3} \times \frac{1}{4} = \underline{\hspace{1cm}}/\underline{\hspace{1cm}}
3
1
×
4
1
=
/
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Use the model to find the product.
\newline
1
2
×
1
4
=
\frac{1}{2} \times \frac{1}{4} =
2
1
×
4
1
=
‾
\underline{\hspace{1cm}}
/
‾
\underline{\hspace{1cm}}
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Use the model to find the product.
\newline
1
2
×
1
3
=
\frac{1}{2} \times \frac{1}{3} =
2
1
×
3
1
=
‾
\underline{\hspace{1cm}}
/
‾
\underline{\hspace{1cm}}
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Vijay made a block of scented soap which weighed
8
1
2
8\frac{1}{2}
8
2
1
pounds. He divided the soap into
3
3
3
equal pieces. How much did each piece of soap weigh?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Jenny bought a package of
4
4
4
tennis balls. The total weight of the tennis balls was
9
9
9
ounces. How much did each tennis ball weigh?
\newline
Write your answer as a decimal.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
ounces
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Debbie ran
6
2
3
6\frac{2}{3}
6
3
2
miles around the track. Each lap is
1
2
3
1\frac{2}{3}
1
3
2
miles. How many laps did Debbie run?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ laps
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Addison's science class weighed
6
6
6
identical balls on a scale. The combined weight of the balls was
0.3
0.3
0.3
kilograms. What was the weight of each ball?
\newline
_
_
_
_
\_\_\_\_
____
kilograms
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Each piece of cardboard is
0.1
0.1
0.1
centimeters thick. If Fernando stacks
4
4
4
pieces of cardboard on top of one another, how thick will the stack be?
\newline
_
_
_
_
\_\_\_\_
____
centimeters
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A construction company transported
2
2
2
stones that weighed a total of
5.8
5.8
5.8
kilograms. How much did each stone weigh?
\newline
_
_
_
_
\_\_\_\_
____
kilograms
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1
≥
x
10
−
1
1 \geq \frac{x}{10}-1
1
≥
10
x
−
1
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40
x
×
1
\frac{40}{x} \times 1
x
40
×
1
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A toll bridge took in
2.4
×
1
0
7
2.4 \times 10^7
2.4
×
1
0
7
dollars last month. If
4
×
1
0
6
4 \times 10^6
4
×
1
0
6
cars went across the toll bridge during that time, how much was the average toll per car? Write your answer in standard form. Do not use exponents.
\newline
$
\$
$
____
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1
1
1
\newline
1
1
1
point
\newline
What are the values of
x
x
x
and
y
y
y
?
\newline
x
=
\mathrm{x}=
x
=
\newline
type your answer...
\newline
y
=
y=
y
=
\newline
type your answer...
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5
6
\frac{5}{6}
6
5
of one animal is in the fence.
15
15
15
animals are fenced what is the total number of animals
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Harvey the wonder hamster can run
3
1
6
k
m
3 \frac{1}{6} \mathrm{~km}
3
6
1
km
in
1
4
\frac{1}{4}
4
1
hour. Harvey runs at a constant rate.
\newline
Find his average speed in kilometers per hour.
\newline
□
\square
□
kilometers per hour
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4
5
x
5
6
\frac{4}{5}x\frac{5}{6}
5
4
x
6
5
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Tavaris surveyed a random sample of freshmen across public universities in Arizona to learn how they feel about their academic workload. The results of the survey are most representative of which of the following populations?
\newline
Choose
1
1
1
answer:
\newline
A) Students attending public universities in Arizona
\newline
B) Freshmen attending colleges and universities in Arizona
\newline
(C) Freshmen attending public universities in Arizona
\newline
D) Freshmen attending a specific public university in Arizona
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A poll asks movie critics to name their favorite movie genre. The results are shown in this circle graph. Thriller is the favorite genre of
18
18
18
of the critics polled. How many of the critics polled prefer the comedy genre? Enter your answer in the box. critics
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hips
\newline
Enter the total weight of the ship (
4850000
4850000
4850000
kilograms) using the weights shown in the diagram.
\newline
Write your answer using multiples of powers of
10
10
10
.
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The ratio of free space to use space on a cell phone is
3
:
8
3:8
3
:
8
. How much space is used if the phone has
12
GB
12\,\text{GB}
12
GB
of free space
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2300
17
\frac{2300}{17}
17
2300
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apsb.info bookmarks
\newline
This graph shows how a sapling's height depends on its age.
\newline
Height of a sapling
\newline
What is the rate of change?
\newline
Write your answer as a decimal or integer.
\newline
□
\square
□
inches per year
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Mai's water bottle had
24
24
24
ounces in it. After she drank
x
x
x
ounces of water,
10
10
10
ounces left.
\newline
Select all the equations that represent this situation.
\newline
(A)
24
÷
10
=
x
24 \div 10=x
24
÷
10
=
x
\newline
(B)
24
+
10
=
x
24+10=x
24
+
10
=
x
\newline
(C)
24
−
10
=
x
24-10=x
24
−
10
=
x
\newline
(D)
x
+
10
=
24
x+10=24
x
+
10
=
24
\newline
(E)
10
x
=
24
10 x=24
10
x
=
24
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Chidi puts
2
3
5
KG
2\frac{3}{5}\,\text{KG}
2
5
3
KG
of bird seed in his large feeder. This is
1
3
10
1\frac{3}{10}
1
10
3
times as much seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?
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![https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/DigitalSAT/Foundations%
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The population of a city increases by
3.2
%
3.2 \%
3.2%
per year. What should we multiply the current population by to find the next year's population in one step?
\newline
Answer:
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The population of a city decreases by
2.2
%
2.2 \%
2.2%
per year. What should we multiply the current population by to find next year's population in one step?
\newline
Answer:
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Khan Academy
\newline
Donate [?
\newline
Naymet k
\newline
Quiz
4
4
4
\newline
Hannah's school hosted a book donation. There are
150
150
150
students at her school, and they donated a total of
b
b
b
books! Hannah donated
3
3
3
times as many as the average number of books each student donated.
\newline
How many books did Hannah donate?
\newline
Write your answer as an expression.
\newline
books
\newline
Report a problem
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estion list
\newline
Question
23
23
23
\newline
Question
24
24
24
\newline
Question
25
25
25
\newline
uestion
26
26
26
\newline
Solve by the method of your choice.
\newline
Twenty-two people purchase raffle tickets. Three winning tickets are selected at random. If first prize is \$\(1000\), second prize is \$\(500\), and third prize is \$\(100\), in how many different ways can the prizes be awarded?\(\newline\)There are \(\square\) different ways in which the prizes can be awarded.\(\newline\)(Simplify your answer.)
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A color photograph taken with a digital camera is converted into digital format using
4
⋅
1
0
0
4 \cdot 10^{0}
4
⋅
1
0
0
bytes per pixel. Photographs taken with the camera each have
2.2
⋅
1
0
6
2.2 \cdot 10^{6}
2.2
⋅
1
0
6
pixels.
\newline
How many bytes are there in one photo? Write your answer in scientific notation.
\newline
bytes
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375
/
5
375/5
375/5
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375
/
5
375/5
375/5
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Amira had
3
4
\frac{3}{4}
4
3
of a bag of cat food. The food lasted
7
1
2
7\frac{1}{2}
7
2
1
weeks. How much cat food did Amira's cats eat per week?
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An ice cream stand uses the expression
2
+
0.5
x
2+0.5 x
2
+
0.5
x
to determine the cost (in dollars) of an ice cream cone that has
x
x
x
scoops of ice cream.
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A cookie factory uses
5
/
6
5 / 6
5/6
of a barrel of oatmeal in each batch of cookies. The factory used
5
5
5
5
5
5
/
6
6
6
barrels of oatmeal yesterday. How many batches of cookies did the factory make?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
batches
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Rehna used
(
1
)
/
(
6
)
(1)/(6)
(
1
)
/
(
6
)
of a packet of flour to make some muffins and
(
1
)
/
(
4
)
(1)/(4)
(
1
)
/
(
4
)
of it to make a cake She used the remainder to make some cupcakes. She used
(
1
)
/
(
12
)
(1)/(12)
(
1
)
/
(
12
)
of the packet of flour or each cupcake. How many cupcakes did she make?
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Rehna used
1
6
\frac{1}{6}
6
1
of a packet of flour to make some muffins and
1
4
\frac{1}{4}
4
1
of it to make a cake she used the remainder to make some cupcakes. She used
1
12
\frac{1}{12}
12
1
of the packet of flour or each cupcake. How many cupcakes did she make?
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A cookie factory uses
5
/
6
5 / 6
5/6
of a barrel of oatmeal in each batch of cookies. The factory used
5
5
5
5
5
5
/
6
6
6
barrels of oatmeal yesterday. How many batches of cookies did the factory make?
\newline
Write your answer as a fraction or as a whole or mixed number.
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Mia buys
10
10
10
bottles of orange juice at the corner store for a total cost of
$
10.10
\$10.10
$10.10
. If each bottle costs the same amount, how much is
5
5
5
bottles of juice?
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Ethan rollerbladed a total of
623
km
623\text{km}
623
km
over
d
d
d
days. He rollerbladed the same distance each day.
\newline
How many kilometers did Ethan rollerblade each day?
\newline
Write your answer as an expression.
\newline
□
km
\square \text{km}
□
km
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