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Math Problems
Grade 6
Ratios and rates: word problems
Initially, there are
4
×
1
0
3
4 \times 10^{3}
4
×
1
0
3
bacteria in a container. It is given that the number of bacteria will be doubled after every
20
20
20
minutes. If the container is left alone for
6
6
6
hours, find the number of bacteria in the container, (Express the answer in scientific notation correct to
3
3
3
significant figures.)
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A cheese company arranges blocks of cheese
2
2
2
across,
5
5
5
deep, and
2
2
2
high in big coolers for shipping. How many blocks of cheese are in each cooler?
\newline
□
\square
□
blocks of cheese
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desmos
\newline
Unit
8.8
8.8
8.8
, Lesson
4
4
4
: Practice Problems
\newline
4
4
4
. Each grid square represents
1
1
1
square unit.
\newline
What is the exact side length of the shaded square?
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5
5
5
boys take
7
7
7
hours to pack
35
35
35
toys. Lets take time.
60
60
60
toys in
3
3
3
hours. How many boys can pack
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A girl can fill
4
4
4
taps and also one tap can be emptied in
8
8
8
hours. If both the taps are open then in how much time will be tap will be filled
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Pierre Trudeau was prime minster of Canada for approximately
15
15
15
years. He died in the year
2000
2000
2000
. The year of his birth is the product of
2
2
2
prime numbers. One of these prime numbers is the smallest
3
3
3
digit prime number. What is the sum of the digits that make up the year of his birth
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5
5
5
. Kasey and her sister both sold cookie dough as a school fundraiser. Kasey sold k tubs of cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of
88
88
88
tubs of cookie dough, then how many tubs of cookie dough did Kasey sell, k?
\newline
A.
22
22
22
\newline
B.
18
18
18
\newline
C.
66
66
66
\newline
D.
29
29
29
\newline
CManeuvering the Middle LLC,
2017
2017
2017
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Heather is a cashier. She can ring up
12
12
12
customers in
9
9
9
minutes.
\newline
At this rate, how many minutes does it take her to ring up
4
4
4
customers?
\newline
□
\square
□
minutes
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A plane flew at a constant speed and traveled
762
762
762
miles in
5
5
5
hours.
\newline
How many miles would the plane travel in
3
3
3
hours at the same speed?
\newline
□
\square
□
miles
\newline
Show Calculator
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Teresa is maintaining a camp fire. She can keep the fire burning for
4
4
4
hours with
6
6
6
logs. She wants to know how many logs
(
y
)
(y)
(
y
)
she needs to keep the fire burning for
18
18
18
hours. She assumes all logs are the same.
\newline
How many logs does Teresa need to maintain the fire for
18
18
18
hours?
\newline
□
\square
□
logs
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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
□
\square
□
minutes
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Jerry is a judge. He hears
5
5
5
cases every
2
(
3
)
8
\frac{2(3)}{8}
8
2
(
3
)
hours. Jerry hears cases at a constant rate.
\newline
How many cases does he hear per hour?
\newline
□
\square
□
cases per hour
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\qquad
\newline
Each elephant at our zoo gets about
4
4
4
pounds of vegetables a pounds of vegetables does it take to feed one elephant for
49
49
49
\newline
I think method
\qquad
will work best for this problem.
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3
3
3
. The high temperatures of a town each day in single month gre shown in the histogram belov What of the days was the high temperature between
76
76
76
and
78
78
78
degrees?
\newline
Dally High Temperatures
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The candy bar factory uses
48
48
48
pounds of chocolate to make their crispy bars and chocolate drops. Three-fourths of the chocolate is used for the crispy bars. How many ounces of chocolate are used for the drops?
\qquad
oz
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Grade
\newline
Assessment ID:
\newline
dna.
138896
138896
138896
\newline
ib.
3451292
3451292
3451292
\newline
10
10
10
Alayana wants to sell her home. She needs to rebuild the front steps of her home before selling her home. Alayna's contractor prepared a model to pour the cement for her new steps.
\newline
How many cubic feet of concrete will Alayana need to make the steps?
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Mr. Franz built a wooden cube. Mrs. Franz is going to cover the cube with carpet. The faces on the cube are
2
2
2
feet by
2
2
2
feet. How much carpet will she need to cover all the sides?
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Mr. Franz built a wooden cube. Mrs. Franz is going to cover the cube with carpet. The faces on the cube are
2
2
2
feet by
2
2
2
feet. How much carpet wi she need to cover all the sides?
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A plane flew at a constant speed and traveled
762
762
762
miles in
5
5
5
hours.
\newline
How many miles would the plane travel in
3
3
3
hours at the same speed?
\newline
□
\square
□
miles
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if Henry can mow a certain lawn in
2
hrs
2\,\text{hrs}
2
hrs
and Nathan can mow it in
2.5
hrs
2.5\,\text{hrs}
2.5
hrs
, how long would it take them to mow it together with two lawnmowers
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Question
\newline
Watch Video
\newline
Show Examples
\newline
As seen in the diagram below, Xavier is building a walkway with a width of
x
x
x
feet to go around a swimming pool that measures
8
8
8
feet by
6
6
6
feet. If the total area of the pool and the walkway will be
528
528
528
square feet, how wide should the walkway be?
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Maria looked through her Grandma's famous
10
10
10
-page recipe book. One page had free recipes, the next nine pages had six recipes each. How many recipes in all did Maria find in her Grandma's recipe book?
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Miss McDonald's Farm has two barns. One Barn houses five groups of
11
11
11
chickens, and the other barn houses
12
12
12
pigs. How many animals are there all together in the barns?
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To train for an upcoming race hannah ran
1
1
1
mile each day for
3
3
3
days. Then she ran
2
2
2
miles each day for
4
4
4
days. How many miles did she run altogether over
7
7
7
days
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Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold
50
50
50
cards, which was
5
%
5 \%
5%
of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
\newline
Answer:
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Enter each ratio.
\newline
Recipe
\newline
3
3
3
eggs
\newline
2
2
2
cups of milk
\newline
4
4
4
cups of flour
\newline
Enter the ratio of eggs to cups of milk.
\newline
to
\newline
Enter the ratio of cups of flour to cups of milk.
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he uses
2
2
2
roses for every
5
5
5
carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with
16
16
16
roses.
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Nevaeh and Mason are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Nevaeh mixes
4
4
4
cups of dough with
5
5
5
quarter-cups of chocolate chips and Mason mixes
4
4
4
cups of dough with
1
1
1
quarter-cup of chocolate chips. Whose cookies will be doughier?
\newline
Nevaeh's cookies will be doughier.
\newline
Mason's cookies will be doughier.
\newline
The two sets of cookies will be equally doughy.
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You might need: 囲 Calculator
\newline
Henry can write
5
5
5
pages of his novel in
3
3
3
hours.
\newline
At this rate, how many pages can Henry write in
8
8
8
hours?
\newline
pages
\newline
Show Calculator
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1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
\newline
Justin is recording the percentages he earned on each quiz in his math class. Here are
\newline
81
,
92
,
78
,
93
,
81
,
76
,
90
81,92,78,93,81,76,90
81
,
92
,
78
,
93
,
81
,
76
,
90
\newline
Find the range of the data set.
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Shandra practices the piano
392
392
392
minutes in
2
2
2
weeks. Assuming she practices the same amount every week, how many minutes would she practice in
5
5
5
weeks?
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Mia hired a moving company. The company charged
$
500
\$ 500
$500
for its services, and Mis gives the movers a
16
%
16 \%
16%
tip.
\newline
How much does Mia tip the movers?
\newline
$
\$
$
_________
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According to a
2018
2018
2018
Gallup poll of adults around the world,
15
%
15\%
15%
of respondents said they would like to move permanently to another country if they had the opportunity. If the poll results are representative of the approximately
5
5
5
billion adults in the world, approximately how many adults world wide would like to move permanently to another country if they had the opportunity?
\newline
Choose
1
1
1
answer:
\newline
(A)
75
75
75
million
\newline
(B)
300
300
300
million
\newline
(C)
750
750
750
million
\newline
(D)
1.5
1.5
1.5
billion
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Wolfrich lived in Portugal and Brazil for a total period of
14
14
14
months in order to learn Portuguese.
\newline
He learned an average of
130
130
130
new words per month when he lived in Portugal and an average of
150
150
150
new words per month when he lived in Brazil. In total, he learned
1920
1920
1920
new words.
\newline
How long did Wolfrich live in Portugal, and how long did he live in Brazil?
\newline
Wolfrich lived in Portugal for
months and lived in Brazil for
months.
\newline
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A bus travels
36
36
36
miles in
45
45
45
minutes.
\newline
Enter the number of miles the bus travels in
60
60
60
minutes at this rate.
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Naoya read a book cover to cover in a single session, at a rate of
55
55
55
pages per hour. After reading for
4
4
4
hours, he had
330
330
330
pages left to read.
\newline
How long is the book?
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Levi can shovel the driveway in
3
3
3
hours, but if his sister Mariah helps it would take
2
2
2
.
5
5
5
hours. How long would it take Mariah to shovel the driveway alone?
\newline
hours
\newline
Submit Question
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Saige's spaceship traveled
588
588
588
kilometers
(
k
m
)
(\mathrm{km})
(
km
)
in
60
60
60
seconds
(
s
)
(\mathrm{s})
(
s
)
.
\newline
Determine whether or not each spaceship trip below has the same speed as Saige's spaceship.
\newline
Has the same speed as
\newline
Saige's spaceship
\newline
Does not have the same speed as Saige's spaceship
\newline
441
k
m
441 \mathrm{~km}
441
km
in
\newline
45
s
45 \mathrm{~s}
45
s
\newline
215
k
m
215 \mathrm{~km}
215
km
in
\newline
25
s
25 \mathrm{~s}
25
s
\newline
649
k
m
649 \mathrm{~km}
649
km
in
\newline
110
s
110 \mathrm{~s}
110
s
\newline
Show Calculator
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Ai Mi practices the piano
1064
1064
1064
minutes in
4
4
4
weeks. Assuming she practices the same amount every week, how many minutes would she practice in
3
3
3
weeks?
\newline
Answer: minutes
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Jayden practices the piano
896
896
896
minutes in
4
4
4
weeks. Assuming he practices the same amount every week, how many minutes would he practice in
5
5
5
weeks?
\newline
Answer: minutes
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Emily practices the piano
595
595
595
minutes in
5
5
5
weeks. Assuming she practices the same amount every week, how many minutes would she practice in
4
4
4
weeks?
\newline
Answer: minutes
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Melanie practices the piano
1435
1435
1435
minutes in
5
5
5
weeks. Assuming she practices the same amount every week, how many minutes would she practice in
4
4
4
weeks?
\newline
Answer: minutes
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Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has
7924
7924
7924
boxes with him. How many more boxes are required?
\newline
(
A
)
819
(A)819
(
A
)
819
\newline
(
B
)
412
(B)412
(
B
)
412
\newline
(
C
)
419
(C)419
(
C
)
419
\newline
(
D
)
176
(D)176
(
D
)
176
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