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Math Problems
Grade 6
Multiply and divide decimals: word problems
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was
43.25.
H
e
h
a
d
t
o
p
a
y
a
43.25. He had to pay a
43.25.
He
ha
d
t
o
p
a
y
a
7 entrance fee and $\(1\).\(25\) for every minute he was on the trampoline. How many minutes did Raymond spend on the trampoline?
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Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on
n
n
n
trips, and for each trip Lennox gets
d
d
d
dollars. On a single trip, a truck delivers
p
p
p
packs, and each pack contains
k
k
k
kilograms of apples. Overall, Lennox sells
t
t
t
dollars worth of apples in a week.
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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 of
72
72
72
litres of shower water (over the entire month). Water costs $\(0\).\(20\)\$ per litre. How much money did Trevor's family spend, in total, on shower water in the past month?
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Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at
0
0
0
seconds, even though the video had already played
190
190
190
frames. The video plays
25
25
25
frames per second. How many frames had the video already played when the time was equal to
−
3.4
-3.4
−
3.4
seconds?
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Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at
0
0
0
seconds, even though the video had already played
190
190
190
frames. The video plays
25
25
25
frames per second. How many frames had the video already played when the time was equal to
−
3.4
-3.4
−
3.4
seconds?
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Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at
0
0
0
seconds, even though the video had already played
190
190
190
frames. The video plays
25
25
25
frames per second. How many frames had the video already played when the time was equal to
−
3.4
-3.4
−
3.4
seconds?
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camelle manges her soccer team.she needs to order
4
4
4
practice jerseys for each player.there are
y
y
y
players. how many total practice jerseys does she need to order
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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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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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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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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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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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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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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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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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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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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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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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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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During a renovation project, a city's main highway was extended from
85
85
85
miles to
88
m
i
l
e
s
88 \mathrm{miles}
88
miles
. Of the following, which is closest to the increase in the highway's length, in kilometers? (
1
1
1
mile is approximately
1
1
1
.
6
6
6
kilometers)
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Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all
9
9
9
people in the group would be
$
81
\$81
$81
. This includes an entrance ticket and a
$
3
\$3
$3
skate rental fee for each person.
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All CDs are equally priced. If
8
C
D
s
cost
$
76.00
8 \mathrm{CDs} \operatorname{cost} \$ 76.00
8
CDs
cost
$76.00
, what is the cost of
1
C
D
1 \mathrm{CD}
1
CD
?
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Farah wants to buy a television and a radio for her grandparents. On an Internet sales, the price of a television to a radio is
7
:
4
7 : 4
7
:
4
. After a discount of
$
132
\$132
$132
on each item, the price ratio of the television to radio becomes
25
:
13
25 : 13
25
:
13
. What is the discounted price of the television?
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A square garden has sides that are
20
20
20
feet long. Fencing costs
$
1.00
\$1.00
$1.00
per foot. How much would it cost to put a fence around the garden?
\newline
$
\$
$
_____
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Caleb bought groceries and paid
1.60
1.60
1.60
in sales tax. The sales tax rate is
2.5
%
2.5\%
2.5%
. What was the price of Caleb's groceries, before tax?
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If I need to drive
60
60
60
hours within
7
7
7
months, how many trips will I need to take assuming each drive goes for
1
1
1
hour
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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?
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A grocery store sells a bag of
7
7
7
oranges for
$
4.69
\$ 4.69
$4.69
. What is the cost of oranges, in dollars per orange?
\newline
Answer:
$
□
\$ \square
$
□
per orange
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Jaxon's car used
16
16
16
gallons to travel
432
432
432
miles. How many miles can the car go on one gallon of gas?
\newline
Answer:
□
\square
□
miles
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It cost Latanya
$
4.74
\$ 4.74
$4.74
to send
158
158
158
text messages. How much does each text cost to send?
\newline
Answer:
$
□
\$ \square
$
□
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In winter, the price of apples suddenly went up by
$
0.75
\$0.75
$0.75
per pound. Sam bought
3
3
3
pounds of apples at the new price for a total of
$
5.88
\$5.88
$5.88
. What was the original price per pound of apples before the increase?
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Four students, Rahul, Mia, Mila, and Andres, line up one behind the other. How many different ways can they stand in line?
\newline
Answer:
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Mariana buys
3
3
3
bottles of pineapple juice at the corner store for a total cost of
$
3.27
\$3.27
$3.27
. If each bottle costs the same amount, how much is
19
19
19
bottles of juice?
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A company orders
30
30
30
boxed lunches from a deli for
$
295.50
\$295.50
$295.50
. If each boxed lunch costs the same amount, how much do
9
9
9
boxed lunches cost?
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Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of
$
X
\$X
$
X
in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira
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Tim and Tom are trying to earn money to buy a new game system over a
3
3
3
-month period. Tim saved
$
45.06
\$45.06
$45.06
each month. If they need a total of
$
210.51
\$210.51
$210.51
to buy the game system, how much does Tom need to earn each of the
3
3
3
months in order to buy the game system?
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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 did Trevor's family pay per minute on shower water?
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