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Math Problems
Grade 6
Multiply and divide decimals: word problems
The gas tank of Sarah's car holds
15
15
15
gallons of gasoline. Her car averages
26
26
26
.
1
1
1
miles per gallon. Assume that she starts a cross-country trip with a full tank of gas. How many times should Sarah plan to stop for gas during her trip of
6
6
6
,
500
500
500
miles?
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When the Dragons have lost their most recent game,
200
200
200
fans buy tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of
1.1
1.1
1.1
.
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To visit his grandmother, Luis takes a train
km
\text{km}
km
and a car
km
\text{km}
km
. How many kilometers is Luis's journey in total?
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Jasper plans to serve cheese and crackers as an appetizer at his next dinner party. He buys
0.8
0.8
0.8
pounds of cheddar cheese. If the cheese costs
$
5.35
\$5.35
$5.35
per pound, how much does he spend?
\newline
$
\$
$
____
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Terrell loves to listen to music, so he buys a subscription to a music-streaming service. He pays
$
4.99
\$4.99
$4.99
each month. How much does the streaming service cost per year?
\newline
$
\$
$
____
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Keith is making a spice rack for his mom in woodworking class. He starts with a board that is
31.25
31.25
31.25
inches long. Then, he cuts it into
5
5
5
equal pieces for the shelves. How long will each shelf be?
\newline
____ inches
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Tina and her friend are picking apples at Newberry Orchard. The apples cost
$
1.40
\$1.40
$1.40
per pound. If they pick
2.5
2.5
2.5
pounds of apples, how much will the apples cost?
\newline
$
\$
$
____
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Regan's New Year's resolution is to exercise more. Today, she plans to run
1.5
1.5
1.5
miles on the track around her school's football field. If each lap around the track is
0.25
0.25
0.25
miles, how many laps should she run?
\newline
____ laps
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The Greenville youth football team bought new footballs for their practices. They bought
9
9
9
footballs for a total of
$
130.50
\$130.50
$130.50
. How much did each football cost?
\newline
$
\$
$
____
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To celebrate the end of the school year, Gabby and her friends go out for pizza. The total bill is
$
37.84
\$37.84
$37.84
. If the
4
4
4
people split the cost evenly, how much does each person pay?
\newline
$
\$
$
____
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Joey works in a candy store. He has a
15.73
15.73
15.73
-pound bag of gummy fish candy that he needs to split among
11
11
11
jars. If he could split the gummy fish evenly, how many pounds would he put in each jar?
\newline
____ pounds
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Zoe mows lawns in the summer to earn extra money. She usually charges
$
15
\$15
$15
per week, but she offers a special rate of
$
59.50
\$59.50
$59.50
if a customer prepays for
5
5
5
weeks. How much does a customer pay for each week with the special rate?
\newline
$
\$
$
____
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Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a
1.2
1.2
1.2
-mile loop in a nearby park. If they walked a total of
3.6
3.6
3.6
miles, how many loops did they do?
\newline
____ loops
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Shortstop Sporting Goods Store received a shipment of
9
9
9
new baseball gloves. Each glove costs
$
45.50
\$45.50
$45.50
. What is the total value of the baseball glove shipment?
\newline
$
\$
$
____
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Corey bought
x
x
x
liters of paint for
y
y
y
. What was the cost per liter of paint?
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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15: 1
15
:
1
. He currently has
40
40
40
grams of the spice blend, and he can go buy more if necessary. He wants to make
10
10
10
servings, where each serving has
75
75
75
grams of rice. Overall, David spends
4
4
4
.
50
50
50
dollars on rice.
\newline
How many servings can David make with the current amount of spice he has?
\newline
□
\square
□
servings
\newline
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To get to school each morning, Vanessa takes a horse
km
\text{km}
km
and a train
km
\text{km}
km
. In total, the journey takes
minutes
\text{minutes}
minutes
.
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A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of
72.5
meters per second
72.5\,\text{meters per second}
72.5
meters per second
. After
t
seconds
t\,\text{seconds}
t
seconds
, the anchor was
d
meters
d\,\text{meters}
d
meters
below the water's surface. From what height (above the water's surface) was the anchor released?
d
meters
d\,\text{meters}
d
meters
How long did it take the anchor to reach the water's surface?
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The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The book shelf was bought at a wholesale price of
w
w
w
, and Gabriela's Furniture Store marks up all furniture by
m
%
m\%
m
%
. At what price should the manager sell the book shelf?
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An ice cream stana 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.
\newline
How much does an ice cream cone with
5
5
5
scoops cost?
\newline
$
\$
$
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Bill is starting a gourmet cookie business. He spent
$
123
\$ 123
$123
on baking equipment, and he will spend an additional
$
7
\$ 7
$7
per batch on ingredients. Bill will sell each batch of cookies for
$
10
\$ 10
$10
.
\newline
How many batches of cookies must Bill sell for his sales to equal his expenses?
\newline
□
\square
□
batches of cookies
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Jill is a writing tutor at her local community center. She has spent
$
400
\$ 400
$400
on advertisements, and she pays the community center
$
20
\$ 20
$20
per hour to use its facilities. She charges her clients
$
60
\$ 60
$60
per hour.
\newline
How many hours must Jill tutor for the amount she brings in to equal the amount she spends?
\newline
□
\square
□
hours
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Jodie made a New Year's resolution to learn how to play the violin. She bought an Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12
12
12
violin lessons. She also paid
$
25
\$ 25
$25
to rent a violin. In all, Jodie paid
$
385
\$ 385
$385
. How much does each violin lesson cost?
\newline
$
\$
$
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2
2
2
. A school librarian has enough money to order
8
8
8
paper back books at
$
5.5
\$ 5.5
$5.5
each. If the librarian decides instead to order books with hard covers at
$
8.8
\$ 8.8
$8.8
each, how many such books can the librarian buy?
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Dominic makes bread to sell at his local farmers' market. It costs
$
1.58
\$1.58
$1.58
for Dominic to make a loaf of bread. How much money will he spend if he makes
12
12
12
loaves of bread?
\newline
$
\$
$
____
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A typical adult male grizzly bear can lift
0.8
0.8
0.8
times his own body weight. How much would you expect a
632
632
632
-pound grizzly bear to be able to lift?
\newline
____ pounds
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Mai is making friendship bracelets. Each bracelet is made from
24.3
cm
24.3\,\text{cm}
24.3
cm
of string. If she has
170.1
cm
170.1\,\text{cm}
170.1
cm
of string, how many bracelets can she make? Explain or show your reasoning.
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The house Trevor's family lives in has
6
6
6
people (including Trevor) and
3
3
3
bathrooms. In the past month, each person showered for an average of
480
480
480
minutes and used an average
72
72
72
liters of shower water (over the entire month). Water costs
0.20
0.20
0.20
dollars per liter.
\newline
How much money did Trevor's family spend, in total, on shower water in the past month?
\newline
____dollars
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A grocery store sells a bag of
4
4
4
oranges for
$
\$
$
2
2
2
.
84
84
84
. How much would it cost for
5
5
5
oranges?
\newline
$
\$
$
□
\square
□
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A recipe requires
1
4
\frac{1}{4}
4
1
lb of onions to make
3
3
3
servings of soup. mark has
1
1
2
1\frac{1}{2}
1
2
1
lb of onions. how many servings can mark make.
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It costs
$
25
\$25
$25
to rent a kayak in addition to
$
7.50
\$7.50
$7.50
per hour. Logan rented the kayak at
11
:
00
11:00
11
:
00
a.m. then returned if later that evening. If he paid
$
70
\$70
$70
, what time did he return the kayak?
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Elena is making greeting cards, which she will sell by the box at an arts fair. She paid
$
54
\$54
$54
for a booth at the fair, and the materials for each box of cards cost
$
9.50
\$9.50
$9.50
. She will sell the cards for
$
11
\$11
$11
per box. At some point, she will sell enough cards so that her sales cover her expenses. How much will the sales and expenses be? How many boxes of cards will that take? Elena's sales and expenses will both be
$
_
_
_
_
\$\_\_\_\_
$____
if she sells
_
_
_
_
\_\_\_\_
____
boxes of cards.
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John buys a
25
25
25
ounces of liquid detergent for
$
10.75
\$10.75
$10.75
. How much does it cost per ounce?
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You have
6
6
6
cans of tomato sauce how many pizzas can you make if each used
1
9
\frac{1}{9}
9
1
?
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The cost of
15
k
g
15 \mathrm{~kg}
15
kg
of apples is
$
262.50
\$ 262.50
$262.50
. Find the cost of
25
k
g
25 \mathrm{~kg}
25
kg
of apples.
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1
1
1
. As part of a spring clearance, a men's store put dress shirts on sale,
2
2
2
for
$
25.98
\$ 25.98
$25.98
. How much will a business man pay if he buys five shirts?
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1
1
1
) For tax purposes, a car rental company assumes each car in their fleet depreciates by
6
%
6 \%
6%
per year. If the initial value of a car is
$
27
,
700.00
\$ 27,700.00
$27
,
700.00
, what will the value be when the car is
9
9
9
years old?
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Zhang Lei spent
$
20.00
\$20.00
$20.00
during his last outing at the bowling alley. This included a one time shoe rental fee of
$
3.50
\$3.50
$3.50
. He spent the rest of the money on bowling a number of games. If it took Zhang Lei
45
45
45
minutes to bowl each game and he spent
2
2
2
hours and
15
15
15
minutes bowling, how much did it cost per game.
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Lester got
$
50
\$50
$50
for his birthday, so his mom took him to the bank to open a savings account. Going forward, Lester also plans to deposit all of his income into his savings account each week. He has two sources of weekly income: his
$
10
\$10
$10
allowance and the
$
15
\$15
$15
he makes from delivering newspapers.
\newline
At this rate, in how many weeks will Lester's savings account have
$
500
\$500
$500
?
\newline
_
_
_
\_\_\_
___
weeks
\newline
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2
2
2
.
6
6
6
In covering a distance of
30
k
m
30 \mathrm{~km}
30
km
, Arun takes
2
h
r
s
2 \mathrm{hrs}
2
hrs
more than Anil. If Arun triples his speed, then he would take
1
h
r
1 \mathrm{hr}
1
hr
less than Anil. What is Arun's speed?
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John bought a ramp
15
15
15
ft long he bought a ramp thats
15
15
15
ft long his deck is
5
5
5
tt long he wants to know how many feet the ramp would be off the ground if the ramp was attached to the deck
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Using this pattern, which fits the floor plan perfectly, how many of each tile will I need?
\newline
The Surf's Up Tile Shop told me that all of the tiles would cost
$
2019.60
\$ 2019.60
$2019.60
and that the small tiles cost
$
1.49
\$ 1.49
$1.49
each, but l've forgotten the cost of the
8
8
8
-inch tiles. Can you help me determine the cost of one of them?
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3
3
3
. Salary Increases A man gets a job with a salary of
$
30
,
000
\$ 30,000
$30
,
000
a year. He is promised a
$
2300
\$ 2300
$2300
raise each subsequent year. Find his total earnings for a
10
10
10
-year period.
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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:1
15
:
1
. He currently has
40
40
40
grams of the spice blend, and he can go buy more if necessary. He wants to make
10
10
10
servings, where each serving has
75
75
75
grams of rice.
\newline
Overall, David spends
4.50
4.50
4.50
dollars on rice.
\newline
How many servings can David make with the current amount of spice he has?
\newline
□
\square
□
servings
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George had
9
9
9
action Clickers Bonita
16
16
16
total for Complete collection if each one cost
6
6
6
dollars how much money will he needs to finish his Collection
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9
9
9
. Simone is designing a piece of artwork in the shape of a square pyramid for a hotel. She wants to cover the pyramid with decorative glass. How many square feet of glass does Simone need to cover the entire pyramid?
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Tia borrowed
$
4.55
\$ 4.55
$4.55
from her friend on
5
5
5
different days to buy lunch. If she makes
$
15
/
\$ 15 /
$15/
hour babysitting and babysits for
3
3
3
hours, how much money will Tia have after paying her friend back the money she owes?
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It costs
$
0.45
\$ 0.45
$0.45
to produce a serving of lemonade. If you sell the lemonade for
$
2.25
\$ 2.25
$2.25
, what is the beverage cost percent?
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Isabella buys
13
13
13
bottles of cranberry juice at the corner store for a total cost of
$
13.78
\$ 13.78
$13.78
. If each bottle costs the same amount, how much is
11
11
11
bottles of juice?
\newline
Answer:
$
\$
$
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A group of
4
4
4
people of which I am one of them needs to reimburse me
$
200
\$200
$200
. How much does the group need to pay me
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1
2
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