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Math Problems
Grade 7
Experimental probability
According to a website where users review their doctors,
116
116
116
out of
119
119
119
users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's
1
,
293
1,293
1
,
293
patients, about how many patients would recommend Dr. Gutierrez to their friends and family? (Round your answer to the nearest whole number.)
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Nyesha runs a makerspace. She recently received a suggestion to let members have
24
24
24
-hour access to the space. Which of the following sampling methods is most appropriate to estimate the proportion of members who are in favor of
24
24
24
-hour access?
\newline
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Josie recorded a temperature of
2
7
∘
F
27^\circ\text{F}
2
7
∘
F
, and Gabby recorded a temperature of
10
9
∘
F
109^\circ\text{F}
10
9
∘
F
. Who recorded a warmer temperature?
\newline
Choices:
\newline
(A) Josie
\newline
(B) Gabby
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Marie recorded a temperature of
8
0
∘
F
80^\circ\text{F}
8
0
∘
F
, and Kristen recorded a temperature of
6
3
∘
F
63^\circ\text{F}
6
3
∘
F
. Did Marie record a temperature that was warmer or cooler?
\newline
Choices:
\newline
(A) warmer
\newline
(B) cooler
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Rudy and Elizabeth both deliver the Daily Read newspaper to homes in different neighborhoods. Rudy delivered
220
220
220
newspapers in
55
55
55
minutes. Elizabeth delivered
135
135
135
newspapers in
45
45
45
minutes. Who delivered newspapers at a faster rate?
\newline
Choices:
\newline
(A)Rudy
\newline
(B)Elizabeth
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Tracy's Pie Shop recently sold
15
15
15
pies, of which
3
3
3
were blackberry pies. Considering this data, how many of the next
20
20
20
pies sold should you expect to be blackberry pies?
\newline
____ blackberry pies
\newline
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At Dairy Freeze,
2
2
2
of the last
10
10
10
sundaes sold had nuts. Considering this data, how many of the next
20
20
20
sundaes sold would you expect to have nuts?
\newline
____ sundaes
\newline
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At a T-shirt stand on the boardwalk,
5
5
5
of the last
15
15
15
shirts sold were gray. Considering this data, how many of the next
12
12
12
shirts sold would you expect to be gray?
\newline
\newline
____ shirts
\newline
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Russell surveyed
16
16
16
students at his school and found that
4
4
4
of them planned to take orchestra as their next elective. If Russell surveys
12
12
12
more students, how many of them are probably planning on taking orchestra as an elective, based on past data?
\newline
____ students
\newline
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Emmy is tossing bean bags at a target. She hit the target on
9
9
9
out of her last
18
18
18
tries. Considering this data, how many hits would you expect Emmy to get during her next
16
16
16
tosses?
\newline
____ hits
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A grocery store recently sold
20
20
20
cartons of yogurt, of which
5
5
5
were cherry. Based on past data, how many of the next
16
16
16
cartons of yogurt sold should you expect to be cherry?
\newline
____ cartons of yogurt
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Dean has worn a white shirt on
6
6
6
of the last
18
18
18
days. What is the experimental probability that Dean will wear a white shirt tomorrow?
\newline
Write your answer as a fraction or whole number.
\newline
P
(
white
)
=
_
_
_
P(\text{white}) = \_\_\_
P
(
white
)
=
___
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Jessica is shopping for a new car. She found a blue car that has a
12
12
12
-gallon gas tank and can go
384
384
384
miles on one tank. She found a silver car that has a
14
14
14
-gallon gas tank and can go
504
504
504
miles on one tank. Which car gets better gas mileage?
\newline
Choices:
\newline
(A)blue
\newline
(B)silver
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Cindy surveyed the
33
33
33
book critics who read and reviewed a new novel.
\newline
Is this sample of the readers of the new novel likely to be representative?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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How many
5
5
5
dirham tickets can you buy in
78
78
78
dirham?
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The mayor surveyed the first
15
15
15
people to arrive for a town meeting.
\newline
Is this sample of the residents of the town likely to be representative?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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A grocery store recently sold
12
12
12
cans of soup,
6
6
6
of which were black bean soup. Based on experimental probability, how many of the next
20
20
20
cans sold should you expect to be black bean soup?
\newline
____ cans of black bean soup
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A coffee shop recently sold
8
8
8
drinks, including
2
2
2
Americanos. Considering this data, how many of the next
20
20
20
drinks sold would you expect to be Americanos?
\newline
____ Americanos
\newline
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There were
6
6
6
dogs at the dog park last Saturday, and
2
2
2
of them were German shepherds. Considering this data, how many of the next
12
12
12
dogs to arrive at the park next Saturday should you expect to be German shepherds?
\newline
____ German shepherds
\newline
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Pam surveyed
18
18
18
students at her school about their favorite classes. Of the students surveyed,
6
6
6
said their favorite class was English. If Pam surveys
12
12
12
more students, how many of them should she expect to pick English, based on past data?
\newline
\newline
____ students
\newline
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There are
9
9
9
cherry trees.
\newline
Kim picks
8
8
8
cherries from each tree.
\newline
Kim eats
14
14
14
of the cherries she picked.
\newline
Enter the number of cherries Kim has left.
\newline
□
\square
□
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A soccer league is organizing teams for their summer league. A survey is randomly given to people in the area asking whether their children will participate in the league. Out of
100
100
100
people with children,
7
7
7
said their children will participate. How many children can the league expect from
6
6
6
,
000
000
000
people with children?
\newline
_____ children
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Which event is most likely to occur?
\newline
Rolling a prime number on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on red or yellow or green or purple.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
74
74
74
tickets.
\newline
Reaching into a bag full of
34
34
34
strawberry chews and
46
46
46
cherry chews without looking and pulling out a strawberry chew.
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Which event is most likely to occur?
\newline
Rolling a number less than
6
6
6
on a six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on pink.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
75
75
75
tickets.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
30
30
30
cherry chews without looking and pulling out a strawberry chew.
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Which event is most likely to occur?
\newline
Rolling a number less than
12
12
12
on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on orange.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
35
35
35
tickets.
\newline
Reaching into a bag full of
27
27
27
strawberry chews and
13
13
13
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a
5
5
5
on a eight-sided die, numbered from
1
1
1
to
8
8
8
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow or green.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
89
89
89
tickets.
\newline
Reaching into a bag full of
29
29
29
strawberry chews and
51
51
51
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling an even number on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on purple.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
74
74
74
tickets.
\newline
Reaching into a bag full of
6
6
6
strawberry chews and
14
14
14
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a
1
1
1
on a six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
44
44
44
tickets.
\newline
Reaching into a bag full of
26
26
26
strawberry chews and
14
14
14
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling an even number on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or red.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
74
74
74
tickets.
\newline
Reaching into a bag full of
2
2
2
strawberry chews and
18
18
18
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a
4
4
4
on a eight-sided die, numbered from
1
1
1
to
8
8
8
.
\newline
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or yellow or purple.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
29
29
29
tickets.
\newline
Reaching into a bag full of
38
38
38
strawberry chews and
2
2
2
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a number less than
6
6
6
on a six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
35
35
35
tickets.
\newline
Reaching into a bag full of
59
59
59
strawberry chews and
21
21
21
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a number less than
6
6
6
on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
65
65
65
tickets.
\newline
Reaching into a bag full of
44
44
44
strawberry chews and
16
16
16
cherry chews without looking and pulling out a strawberry chew.
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Which event is least likely to occur?
\newline
Rolling a
2
2
2
on a six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
42
42
42
tickets.
\newline
Reaching into a bag full of
66
66
66
strawberry chews and
14
14
14
cherry chews without looking and pulling out a strawberry chew.
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From
1970
1970
1970
to
1990
1990
1990
the average per person annual consumption of whole milk declined at a constant rate from
101
101
101
to
41
41
41
quarts per year. During the same period, the average annual consumption of low fat milk increased at a constant rate from
25
25
25
to
60
60
60
quarts per year. What was the average annual per person consumption when the consumption of whole milk and low fat milk was the same?
\newline
Choose
1
1
1
answer:
\newline
(A)
53
53
53
quarts
\newline
(B)
55
55
55
quarts
\newline
(C)
57
57
57
quarts
\newline
(D)
59
59
59
quarts
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From
1970
1970
1970
to
1990
1990
1990
the average per person annual consumption of whole milk declined at a constant rate from
101
101
101
to
41
41
41
quarts per year. During the same period, the average annual consumption of low fat milk increased at a constant rate from
25
25
25
to
60
60
60
quarts per year. What was the average annual per person consumption when the consumption of whole milk and low fat milk was the same?
\newline
Choose
1
1
1
answer:
\newline
(A)
53
53
53
quarts
\newline
(B)
55
55
55
quarts
\newline
(C)
57
57
57
quarts
\newline
(D)
59
59
59
quarts
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Anna has some nickels and some dimes. She has at most
26
26
26
coins worth a minimum of
$
2
\$2
$2
combined. If Anna has
5
5
5
nickels, determine all possible values for the number of dimes that she could have.
\newline
Answer:
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Solve the following equation for
A
A
A
. Be sure to take into account whether a letter is capitalized or not.
\newline
8
=
A
(
b
+
2
d
)
8=A(b+2 d)
8
=
A
(
b
+
2
d
)
\newline
Answer:
A
=
A=
A
=
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Solve the following equation for
a
a
a
. Be sure to take into account whether a letter is capitalized or not.
\newline
n
=
1
2
a
n=\frac{1}{2} a
n
=
2
1
a
\newline
Answer:
a
=
a=
a
=
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Solve the following equation for
g
g
g
. Be sure to take into account whether a letter is capitalized or not.
\newline
h
g
=
j
h g=j
h
g
=
j
\newline
Answer:
g
=
g=
g
=
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Mikayla is the communications director for a politician and has recommended that a total of
41
41
41
speaking events are given by the politician before election day. Each speaking event is either a formal speech or an informal talk. Mikayla also recommends a total of
9
9
9
more formal speeches than informal talks. Which of the following systems of equations can be used to find out the number of formal speeches
s
s
s
versus the number of informal talks
t
t
t
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
t
=
s
+
9
t=s+9
t
=
s
+
9
\newline
s
+
t
=
41
s+t=41
s
+
t
=
41
\newline
(B)
\newline
t
=
s
+
9
t=s+9
t
=
s
+
9
\newline
s
=
t
−
41
s=t-41
s
=
t
−
41
\newline
(C)
\newline
s
=
t
+
9
s=t+9
s
=
t
+
9
\newline
s
+
t
=
41
s+t=41
s
+
t
=
41
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Saqui buys streamers for
$
0.09
\$0.09
$0.09
per meter.
\newline
What is the price, in dollars, of
300
300
300
centimeters of streamers?
\newline
There are
100
100
100
centimeters in a meter.
\newline
Choose
1
1
1
answer:
\newline
(A)
$
0.03
\$0.03
$0.03
\newline
(B)
$
0.27
\$0.27
$0.27
\newline
(C)
$
27
\$27
$27
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A particular dishwasher uses
444
444
444
gallons of water per load. Their advertising claims that hand washing the dishes uses
666
666
666
times as much water. According to this estimate, how many gallons of water would it save to wash
215215215
215215215
215215215
loads using the dishwasher instead of by hand
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Saqui buys streamers for
$
0.09
\$0.09
$0.09
per meter.
\newline
What is the price, in dollars, of
300
300
300
centimeters of streamers?
\newline
There are
100
100
100
centimeters in a meter.
\newline
Choose
1
1
1
answer:
\newline
(A)
$
0.03
\$0.03
$0.03
\newline
(B)
$
0.27
\$0.27
$0.27
\newline
(C)
$
27
\$27
$27
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