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Math Problems
Grade 8
Percent of change
If one person constructed
20
%
20\%
20%
more of a
792
792
792
foot fence than the second person, how much did the first person build?
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1
1
1
. After Messi joined the MLS, how much did ticket prices jump by for his games?
\newline
a.
2
x
2 x
2
x
\newline
b.
3
x
3 x
3
x
\newline
c.
5
x
5 x
5
x
\newline
d. More than
5
x
5 x
5
x
\newline
2
2
2
. Taylor Swift's Era tour boosted hotel occupancy rise by
\newline
a.
20
%
20 \%
20%
\newline
b.
30
%
30 \%
30%
\newline
c.
40
%
40 \%
40%
\newline
d.
50
%
50 \%
50%
\newline
3
3
3
. Taylor Swift's Era tour boosted hotel prices by
\newline
a.
20
%
20 \%
20%
\newline
b.
30
%
30 \%
30%
\newline
c.
40
%
40 \%
40%
\newline
d.
50
50
50
\%
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Between which year did the largest decrease in children taking swimming lessons occur?
\newline
1
1
1
.
1990
−
1991
1990-1991
1990
−
1991
\newline
2
2
2
.
1991
−
1992
1991-1992
1991
−
1992
\newline
3
3
3
.
1992
−
1993
1992-1993
1992
−
1993
\newline
4
4
4
.
1993
−
1994
1993-1994
1993
−
1994
\newline
5
5
5
.
1994
−
1995
1994-1995
1994
−
1995
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Keith and his friends are heading to the Thunder Beach water park. They plan to purchase the group package, which costs
$
78
\$78
$78
for
6
6
6
people. That's
$
3
\$3
$3
less per person than the normal cost for an individual. What is the normal cost for an individual?
\newline
$
\$
$
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Parker just started a running plan where he runs
16
16
16
miles the first week and then increases the number of miles he runs by
5
%
5\%
5%
each week. If he keeps up this plan for
5
5
5
weeks, how many total miles would Parker have run, to the nearest whole number?
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Write an algebraic equation for the following problem and then solve it.
\newline
A town's employment statistics show that
867
867
867
of its residents were unemployed last month. This is a decrease of
15
%
15 \%
15%
from the previous month. How many residents were unemployed in the previous month?
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The cost of a brand new car was
$
35000
\$ 35000
$35000
. After a year, its value dropped by
15
%
15 \%
15%
. If sold it at a loss of
$
3000
\$ 3000
$3000
, how much did I sell the car for?
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The cost of a brand new car was
$
35000
\$ 35000
$35000
. After a year, its value dropped by
15
%
15 \%
15%
.
1
1
1
.
1
1
1
sold it at a loss of
$
3000
\$ 3000
$3000
, how much did I sell the car for?
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The town of Crystal Palms is considering building a public swimming pool. The members of the town council each randomly survey
20
20
20
residents to see if there is enough support for the pool. Here are the data from one council member's survey, with Yes indicating support for the pool and No indicating no support:
\newline
--------- --
\newline
Yes
12
12
12
\newline
No
5
5
5
\newline
Undecided
3
3
3
\newline
--------- --
\newline
What percentage of those surveyed support building the swimming pool?
\newline
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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The Orchard Ridge Zoo has a new red panda. The zoo's board of directors needs to pick a name for the panda and has narrowed down the list to three options. Each board member randomly surveys
20
20
20
zoo visitors to see which name is preferred. Here are the data from one board member's sample:
\newline
------- --
\newline
Rocky
13
13
13
\newline
Scarlet
6
6
6
\newline
Chili
1
1
1
\newline
------- --
\newline
What percentage of the zoo visitors in this sample prefer the name Rocky?
\newline
_____
%
\%
%
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What is the percent of change from
75
75
75
to
36
36
36
?
\newline
Choices:
\newline
(A)
52
%
52\%
52%
decrease
\newline
(B)
52
%
52\%
52%
increase
\newline
(C)
39
%
39\%
39%
increase
\newline
(D)
39
%
39\%
39%
decrease
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What is the percent of change from
20
20
20
to
30
30
30
?
\newline
Choices:
\newline
(A)
10
%
10\%
10%
increase
\newline
(B)
50
%
50\%
50%
decrease
\newline
(C)
50
%
50\%
50%
increase
\newline
(D)
10
%
10\%
10%
decrease
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What is the percent of change from
46
46
46
to
23
23
23
?
\newline
Choices:
\newline
(A)
23
%
23\%
23%
decrease
\newline
(B)
23
%
23\%
23%
increase
\newline
(C)
50
%
50\%
50%
increase
\newline
(D)
50
%
50\%
50%
decrease
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What is the percent of change from
100
100
100
to
33
33
33
?
\newline
Choices:
\newline
(A)
74
%
74\%
74%
increase
\newline
(B)
67
%
67\%
67%
increase
\newline
(C)
74
%
74\%
74%
decrease
\newline
(D)
67
%
67\%
67%
decrease
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What is the percent of change from
10
10
10
to
7
7
7
?
\newline
Choices:
\newline
(A)
3
%
3\%
3%
increase
\newline
(B)
30
%
30\%
30%
decrease
\newline
(C)
3
%
3\%
3%
decrease
\newline
(D)
30
%
30\%
30%
increase
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What is the percent of change from
34
34
34
to
17
17
17
?
\newline
Choices:
\newline
(A)
5
%
5\%
5%
decrease
\newline
(B)
5
%
5\%
5%
increase
\newline
(C)
50
%
50\%
50%
increase
\newline
(D)
50
%
50\%
50%
decrease
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What is the percent of change from
20
20
20
to
11
11
11
?
\newline
Choices:
\newline
(A)
45
%
45\%
45%
decrease
\newline
(B)
45
%
45\%
45%
increase
\newline
(C)
9
%
9\%
9%
decrease
\newline
(D)
9
%
9\%
9%
increase
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What is the percent of change from
50
50
50
to
31
31
31
?
\newline
Choices:
\newline
(A)
19
%
19\%
19%
increase
\newline
(B)
19
%
19\%
19%
decrease
\newline
(C)
38
%
38\%
38%
increase
\newline
(D)
38
%
38\%
38%
decrease
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What is the percent of change from
6
6
6
to
3
3
3
?
\newline
Choices:
\newline
(A)
3
%
3\%
3%
increase
\newline
(B)
50
%
50\%
50%
increase
\newline
(C)
3
%
3\%
3%
decrease
\newline
(D)
50
%
50\%
50%
decrease
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What is the percent of change from
6
6
6
to
9
9
9
?
\newline
Choices:
\newline
(A)
50
%
50\%
50%
increase
\newline
(B)
3
%
3\%
3%
decrease
\newline
(C)
3
%
3\%
3%
increase
\newline
(D)
50
%
50\%
50%
decrease
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What is the percent of change from
20
20
20
to
18
18
18
?
\newline
Choices:
\newline
(A)
9
%
9\%
9%
decrease
\newline
(B)
9
%
9\%
9%
increase
\newline
(C)
10
%
10\%
10%
increase
\newline
(D)
10
%
10\%
10%
decrease
Get tutor help
What is the percent of change from
5
5
5
to
1
1
1
?
\newline
Choices:
\newline
(A)
4
%
4\%
4%
decrease
\newline
(B)
80
%
80\%
80%
decrease
\newline
(C)
80
%
80\%
80%
increase
\newline
(D)
4
%
4\%
4%
increase
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What is the percent of change from
8
8
8
to
10
10
10
?
\newline
Choices:
\newline
(A)
25
%
25\%
25%
decrease
\newline
(B)
2
%
2\%
2%
increase
\newline
(C)
2
%
2\%
2%
decrease
\newline
(D)
25
%
25\%
25%
increase
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What is the percent of change from
15
15
15
to
18
18
18
?
\newline
Choices:
\newline
(A)
3
%
3\%
3%
decrease
\newline
(B)
20
%
20\%
20%
decrease
\newline
(C)
20
%
20\%
20%
increase
\newline
(D)
3
%
3\%
3%
increase
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Last year, wind turbines along a hilly ridge had an average output of
600
600
600
kilowatt hours per year. The turbines were upgraded, and now their average annual output is
73
%
73\%
73%
more. What is the new average yearly output?
\newline
____ kilowatt hours
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A local gym had
54
54
54
members last quarter. This quarter, with a change in its rates, it has
81
81
81
members. What is the percent of increase in the number of members?
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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Steve has run many marathons and keeps track of all of his finishing times. At a race last month, he finished in
260
260
260
minutes. At his next race, he finished with a time that was
20
%
20\%
20%
longer. What was his finishing time at the most recent race?
\newline
____ minutes
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In
2009
2009
2009
, Chloe paid
$
6
,
190
\$6,190
$6
,
190
in federal income tax. In
2010
2010
2010
, she paid
90
%
90\%
90%
more than in
2009
2009
2009
. How much did Chloe pay in
2010
2010
2010
?
\newline
$
\$
$
____
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Clean Machine is Seaside's premier house cleaning service. The company used
6
,
830
6,830
6
,
830
gallons of soap last year, and
50
%
50\%
50%
more than that this year. How many gallons of soap did the company use this year?
\newline
____ gallons
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The last time it placed an order for ingredients, Sweet Treats Bakery ordered
6
,
730
6,730
6
,
730
kilograms of sugar. This time, the bakery is ordering
20
%
20\%
20%
more sugar. How much sugar is that?
\newline
____ kilograms
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A magician is training for an underwater escape trick. Upon first trying, she could hold her breath for
66
66
66
seconds. Now, using a different technique, she can hold it for
50
%
50\%
50%
longer. How long can the magician currently hold her breath?
\newline
_
_
_
_
\_\_\_\_
____
seconds
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Dr. Lambert, a farm veterinarian, just weighed a pig and found out that it is
9
kilograms
9\,\text{kilograms}
9
kilograms
, which is
10
%
10\%
10%
less than the last time he checked. How much did the pig weigh last time?
\newline
____ kilograms
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Last year, a gardening store ordered
820
,
540
820,540
820
,
540
potted plants. This year, they ordered
1
,
517
,
999
1,517,999
1
,
517
,
999
potted plants. What is the percent of increase in the number of potted plants ordered annually?
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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Pamela has been keeping an eye on an emerald ring she likes. She just noticed that it has been marked down to
$
18
,
284
\$18,284
$18
,
284
, which is
60
%
60\%
60%
less than its original price. What was the original price of the ring?
\newline
$
\$
$
____
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This season, Stamford Theater sold
11
,
037
11,037
11
,
037
tickets to Shakespearean plays. That is
95
%
95\%
95%
more than the theater sold last season. How many tickets to Shakespearean plays did the theater sell last season?
\newline
____ tickets
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This year, Tea Off served a total of
1
,
026
1,026
1
,
026
cups of chamomile tea to its customers. The manager notes that this number is
40
%
40\%
40%
lower than the last year. How many cups of chamomile tea did the cafe serve last year?
\newline
____ cups
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Under new management, Oakdale Hardware keeps an inventory of
1
,
141
,
119
1,141,119
1
,
141
,
119
lawnmowers. That is
18
%
18\%
18%
more lawnmowers than they had on hand in the past. How many lawnmowers did the company keep in inventory back then?
\newline
____ lawnmowers
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This year, Michael gave
234
234
234
piano performances. That is
40
%
40\%
40%
fewer than last year. How many times did Michael perform last year?
\newline
____ piano performances
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At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of
$
41
,
705
\$41,705
$41
,
705
, which is
5
%
5\%
5%
less than it sold for when it was new. What was the original price of the vehicle?
\newline
$
\$
$
____
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Greenville's current population is
9
,
708
9,708
9
,
708
residents, which is
20
%
20\%
20%
larger than at the time of its founding. What was the population of Greenville back then?
\newline
____ residents
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Now that Westford Auto Repair has a different owner, its mechanics make
$
42
\$42
$42
per hour. That is
5
%
5\%
5%
more than they originally made. How much did the mechanics use to make per hour?
\newline
$
\$
$
____
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A bike cost
$
649
\$649
$649
. This is
15
%
15\%
15%
off the regular price. What is the regular price?
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What is the percent of change from
20
20
20
to
14
14
14
?
\newline
Choices:
\newline
(A)
30
%
30\%
30%
increase
\newline
(B)
6
%
6\%
6%
increase
\newline
(C)
30
%
30\%
30%
decrease
\newline
(D)
6
%
6\%
6%
decrease
Get tutor help
What is the percent of change from
4
4
4
to
3
3
3
?
\newline
Choices:
\newline
(A)
25
%
25\%
25%
decrease
\newline
(B)
1
%
1\%
1%
increase
\newline
(C)
25
%
25\%
25%
increase
\newline
(D)
1
%
1\%
1%
decrease
Get tutor help
What is the percent of change from
600
,
000
600,000
600
,
000
to
900
,
000
900,000
900
,
000
?
\newline
Choices:
\newline
(A)
46
%
46\%
46%
increase
\newline
(B)
50
%
50\%
50%
decrease
\newline
(C)
46
%
46\%
46%
decrease
\newline
(D)
50
%
50\%
50%
increase
Get tutor help
What is the percent of change from
6
,
000
6,000
6
,
000
to
9
,
000
9,000
9
,
000
?
\newline
Choices:
\newline
(A)
64
%
64\%
64%
decrease
\newline
(B)
64
%
64\%
64%
increase
\newline
(C)
50
%
50\%
50%
increase
\newline
(D)
50
%
50\%
50%
decrease
Get tutor help
What is the percent of change from
800
,
000
800,000
800
,
000
to
1
,
000
,
000
1,000,000
1
,
000
,
000
?
\newline
Choices:
\newline
(A)
28
%
28\%
28%
decrease
\newline
(B)
25
%
25\%
25%
increase
\newline
(C)
25
%
25\%
25%
decrease
\newline
(D)
28
%
28\%
28%
increase
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What is the percent of change from
50
50
50
to
90
90
90
?
\newline
Choices:
\newline
(A)
40
%
40\%
40%
decrease
\newline
(B)
80
%
80\%
80%
increase
\newline
(C)
40
%
40\%
40%
increase
\newline
(D)
80
%
80\%
80%
decrease
Get tutor help
What is the percent of change from
5
5
5
to
8
8
8
?
\newline
Choices:
\newline
(A)
3
%
3\%
3%
increase
\newline
(B)
3
%
3\%
3%
decrease
\newline
(C)
60
%
60\%
60%
decrease
\newline
(D)
60
%
60\%
60%
increase
Get tutor help
What is the percent of change from
10
10
10
to
1
1
1
?
\newline
Choices:
\newline
(A)
76
%
76\%
76%
decrease
\newline
(B)
90
%
90\%
90%
increase
\newline
(C)
90
%
90\%
90%
decrease
\newline
(D)
76
%
76\%
76%
increase
Get tutor help
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2
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