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Math Problems
Grade 6
Multi-step word problems
Ivan wants to make a stir fry for dinner and is trying to figure out how many servings of rice he has left. There are
3
3
4
3 \frac{3}{4}
3
4
3
cups of uncooked rice in the bag, and
1
2
\frac{1}{2}
2
1
of a cup makes a single serving. How many servings of rice are left?
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Jane can buy daffodil bulbs in packages of
3
3
3
for
$
7.17
\$7.17
$7.17
or in packages of
2
2
2
for
$
5.64
\$5.64
$5.64
. How much money does she save by buying
6
6
6
bulbs at the better price?
$
□
\$ \square
$
□
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Write
4
4
4
cents twice, once with a dollar sign and once with a cent sign.
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Use the Segment Addition rule
(part+part+part=total)
\text{(part+part+part=total)}
(part+part+part=total)
to find the measure of
x
x
x
:
x
=
15
x=15
x
=
15
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There are
54
54
54
students in the orchestra and twice that number in the band. There are
25
25
25
boys and
13
13
13
girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?
\newline
\newline
_
_
_
_
\_\_\_\_
____
students
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The swimming club went to a swim meet in another town. They took
4
4
4
cars and
5
5
5
vans. There were
4
4
4
people in each car and
5
5
5
people in each van. How many people went on the trip?
\newline
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
people
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Roxanne has
13
13
13
blue envelopes. She has
10
10
10
fewer yellow envelopes than blue envelopes. She has
5
5
5
times as many green envelopes as yellow envelopes. How many envelopes does Roxanne have in all?
\newline
\newline
_
_
_
_
\_\_\_\_
____
envelopes
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Shelby bought
6
6
6
packs of red bouncy balls,
9
9
9
packs of yellow bouncy balls, and
1
1
1
pack of green bouncy balls. There were
10
10
10
bouncy balls in each package. How many bouncy balls did Shelby buy in all?
\newline
_
_
_
_
\_\_\_\_
____
bouncy balls
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Luther and Jamie order pasta for
$
6.65
\$6.65
$6.65
, salad for
$
4.80
\$4.80
$4.80
, and
2
2
2
glasses of lemonade for
$
0.75
\$0.75
$0.75
each. The tax is
$
1.05
\$1.05
$1.05
. How much change should they get from
$
15.00
\$15.00
$15.00
?
\newline
$
\$
$
_____
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Ariana bought a sandwich for
$
6.70
\$6.70
$6.70
, a bag of chips for
$
1.10
\$1.10
$1.10
, and a drink for
$
1.15
\$1.15
$1.15
. The tax was
$
0.70
\$0.70
$0.70
. She gave the cashier
$
10.00
\$10.00
$10.00
. How much change should Ariana have received?
\newline
$
\$
$
_____
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David had
12
12
12
toy cars. Then he bought
27
27
27
cars from the toy store and got
30
30
30
cars for his birthday. David gave
8
8
8
of the toy cars to his sister and
16
16
16
to his friend Russell. How many toy cars does David have left?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
toy cars
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Russell's aunt gave him
$
61
\$61
$61
to spend on clothes at the mall. He bought
2
2
2
shirts that cost
$
3
\$3
$3
each and a pair of pants that cost
$
11
\$11
$11
. How much money does Russell have left to buy more clothes?
\newline
$
\$
$
_____
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Carmen was collecting coins. She got
6
6
6
coins from her piggy bank and
4
4
4
coins from her brother. Her father gave Carmen
2
2
2
coins. Carmen gave
6
6
6
of the coins to her friend Sandeep. How many coins did Carmen have left?
\newline
\newline
_
_
_
_
\_\_\_\_
____
coins
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Jane's uncle gave her
$
98
\$98
$98
to spend on basketball equipment. She bought
4
4
4
jerseys that cost
$
4
\$4
$4
each, a basketball that cost
$
29
\$29
$29
, and a pair of shorts that cost
$
27
\$27
$27
. How much money does Jane have left?
\newline
$
\$
$
_____
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Mabel earns
$
16
\$16
$16
per hour. Last week, she worked
3
3
3
hours on Monday,
2
2
2
hours on Tuesday, and
10
10
10
hours on Wednesday. She had Thursday off, and then she worked
8
8
8
hours on Friday. How much money did Mabel earn in all last week?
\newline
$
\$
$
_
_
_
_
\_\_\_\_
____
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Justin and Edwin already had
6
6
6
shells in their shell collection. Then they went to the beach to collect even more. Justin found
2
2
2
limpet shells,
10
10
10
oyster shells, and
6
6
6
conch shells. Edwin found
23
23
23
more shells than Justin did. How many shells do the pair have all together?
\newline
\newline
_____ shells
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Charlie had
$
28.00
\$28.00
$28.00
to spend at the toy store. He bought
3
3
3
toy cars that cost
$
1.70
\$1.70
$1.70
each and a race track that cost
$
8.30
\$8.30
$8.30
. How much money does Charlie have left to buy more toys?
\newline
$
\$
$
_____
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A parking garage near Carmen's house is
4
4
4
stories tall. There are
22
22
22
open parking spots on the first level. There are
4
4
4
more open parking spots on the second level than on the first level, and there are
8
8
8
more open parking spots on the third level than on the second level. There are
17
17
17
open parking spots on the fourth level. How many open parking spots are there in all?
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
open parking spots
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Mariana has
11
11
11
white buttons. She has
9
9
9
fewer brown buttons than white buttons. Mariana has
15
15
15
more gray buttons than brown buttons. How many buttons does Mariana have in all?
\newline
_____ buttons
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Eddie needs
13
13
13
cartons of berries to make a berry cobbler. He already has
7
7
7
cartons of strawberries and
2
2
2
cartons of blueberries. How many more cartons of berries should Eddie buy?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
cartons of berries
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Dana made
4
4
4
stacks of wooden blocks. The first stack was
9
9
9
blocks tall. The second stack was
8
8
8
blocks taller than the first. The third stack was
12
12
12
blocks shorter than the second stack, and the last stack was
3
3
3
blocks taller than the third stack. How many blocks did Dana use in all?
\newline
\newline
_
_
_
_
\_\_\_\_
____
blocks
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Cole and Felipe order eggs for
$
5.25
\$5.25
$5.25
, pancakes for
$
4.00
\$4.00
$4.00
, and
2
2
2
mugs of cocoa for
$
0.60
\$0.60
$0.60
each. The tax is
$
0.85
\$0.85
$0.85
. How much change should they get from
$
15.00
\$15.00
$15.00
?
\newline
$
\$
$
_____
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Aaliyah walked
5
5
5
blocks from her house to the bus stop. She rode the bus
21
21
21
blocks to the post office. Later, she came home the same way. How many blocks did Aaliyah travel in all?
\newline
_
_
_
\_\_\_
___
blocks
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In Edward's desk drawer there are
9
9
9
yellow highlighters. There are
10
10
10
more pink highlighters than yellow highlighters, and there are
10
10
10
more blue highlighters than pink highlighters. How many highlighters are in Edward's desk drawer in all?
\newline
\newline
_
_
_
_
\_\_\_\_
____
highlighters
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Shawna is writing a poem. She writes
4
4
4
words on the first line,
8
8
8
words on the second line,
16
16
16
words on the third line, and
32
32
32
words on the fourth line. What kind of sequence is this?
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Lynn has
500
milliliters
500\,\text{milliliters}
500
milliliters
of Diet Coke. Elizabeth has one
1
1
1
liter. Who has more Diet Coke? How much more Diet Coke is there?
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Swimming Pool On a certain hot summer's day,
322
322
322
people used the public swimming pool. The daily prices are
$
1.50
\$1.50
$1.50
for children and
$
2.00
\$2.00
$2.00
for adults. The receipts for admission totaled
$
544.00
\$544.00
$544.00
. How many children and how many adults swam at the public pool that day? There were
□
\square
□
children at the public pool.
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Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent
262
262
262
$
\$
$
to buy
28
28
28
student tickets and
4
4
4
adult tickets for her class. Mr. White spent
191
191
191
$
\$
$
for
22
22
22
student tickets and
2
2
2
adult tickets for his class.
\newline
How much did the student tickets for both classes cost in total?
\newline
$
\$
$
_
_
_
\_\_\_
___
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Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges
$
39
\$39
$39
for the initial consultation and then
$
42
\$42
$42
per session. For another plan, he charges
$
54
\$54
$54
for the consultation and
$
39
\$39
$39
per session.
\newline
Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
\newline
Both plans cost
$
\$
$
____ for ____ sessions.
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There are
28
28
28
dogs in a Kennel.
11
11
11
dogs are brown.
8
8
8
dogs have short tails.
17
17
17
dogs have long hair. Only
1
1
1
dog is brown with a short tail and
3
3
3
dogs have but are not brown.
3
3
3
dogs are brown with short tails and not long hair.
\newline
How many dogs are brown with long hair but do not have short tails?
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There are
28
28
28
dogs in a Kennel.
\newline
11
11
11
dogs are brown.
\newline
8
8
8
dogs have short tails.
\newline
17
17
17
dogs have long hair.
\newline
only
1
1
1
dog is brown with short tail and long hair
\newline
3
3
3
dogs have short tail and long hair but are not brown.
\newline
3
3
3
dogs are brown with short tail and Not long hair.
\newline
How many dogs are brown with long hair but do NoT have short tails?
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Megan walks
43
43
43
miles on Saturday. She walks
13
13
13
fewer miles on Sunday than she does on Saturday. How many miles does Megan walk on Sunday?
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Richie spent
$
120
\$ 120
$120
on
12
12
12
rose bushes and
2
2
2
gardenias, while Jim spent
3150
3150
3150
on
10
10
10
rose bushes and
10
10
10
gardenias. What is the cost of
1
1
1
rose bush and
1
1
1
gardenia?
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A father shed a box of chocolates. He gave Simon,
1
3
\frac{1}{3}
3
1
Rachel one quarter, Kerry one fifth and Darcy one sixth. he gave Judy six. How many chocolates were in the box?
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Jennifer's diary has
50
50
50
pages. She used
14
14
14
pages in January and
19
19
19
in February. How many remain unused?
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There were
46
46
46
balls on the playground.
20
20
20
were soccer balls and
15
15
15
were basketballs. The rest were tennis balls. How many were tennis balls?
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30
30
30
children lined up to jump rope.
9
9
9
children joined them.
4
4
4
children left to get a drink of water. How many children were left in the line?
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At the park I saw
32
32
32
animals. I saw
12
12
12
dogs,
15
15
15
squirrels, and some frogs. How many frogs did I see?
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Students are making lemonade from a powdered lemon drink mix. Ruby mixes
1
1
1
cup of water and
2
2
2
teaspoons of powdered lemon mix. Joshua mixes
1
1
1
cup of water and
4
4
4
teaspoons of powdered lemon mix. Whose mix will be more lemony?
\newline
Ruby's mix will be more lemony.
\newline
Joshua's mix will be more lemony.
\newline
The two mixes will be equally lemony.
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I have
2
2
2
apples, I throw one away. How many apples left?
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A news agent sells three papers: The Times, the Punch and the Herald.
70
70
70
customers buy the Times,
60
60
60
the Punch and
50
50
50
the Herald.
17
17
17
buy the Times and the Punch,
15
15
15
the Punch and the Herald and
16
16
16
the Herald and the Times, while
3
3
3
customers buy all three papers. How many customers has he?
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In a certain examination,
72
72
72
candidates offered Mathematics,
64
64
64
offered English, and
62
62
62
French.
18
18
18
offered both Mathematics and English,
24
24
24
Mathematics and French and
20
20
20
English and French.
8
8
8
candidates offered all the three subjects. How many candidates were there for the examination?
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Harvey owns a restaurant. He had
425
425
425
customers at the end of the second quarter,
455
455
455
customers at the beginning of the second quarter, and
17
17
17
new customers in the second quarter. What is his customer retention rate for the second quarter?
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There were
90
90
90
kites in a shop, and the shopkeeper was left with only
5
5
5
kites. How many kites does the shopkeeper sell?
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