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Math Problems
Grade 8
Percent of change
Last year at a certain high school, there were
65
65
65
ninth graders on the honor roll and
132
132
132
tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by
20
%
20 \%
20%
and the number of tenth graders on the honor roll increased by
25
%
25 \%
25%
. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth
$
7000
\$ 7000
$7000
and his stock in Company B was worth
$
3750
\$ 3750
$3750
. The stock in Company A has increased
2
%
2 \%
2%
since last year and the stock in Company B has increased
4
%
4 \%
4%
. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth
$
1300
\$ 1300
$1300
and her stock in Company B was worth
$
6220
\$ 6220
$6220
. The stock in Company A has decreased
17
%
17 \%
17%
since last year and the stock in Company B has decreased
25
%
25 \%
25%
. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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Last year at a certain high school, there were
70
70
70
ninth graders on the honor roll and
125
125
125
tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by
10
%
10 \%
10%
and the number of tenth graders on the honor roll decreased by
8
%
8 \%
8%
. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth
$
4220
\$ 4220
$4220
and her stock in Company B was worth
$
1500
\$ 1500
$1500
. The stock in Company A has increased
5
%
5\%
5%
since last year and the stock in Company B has increased
8
%
8 \%
8%
. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth
$
2230
\$ 2230
$2230
and her stock in Company B was worth
$
600
\$ 600
$600
. The stock in Company A has increased
20
%
20\%
20%
since last year and the stock in Company B has increased
8
%
8 \%
8%
. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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Last year at a certain high school, there were
50
50
50
ninth graders on the honor roll and
50
50
50
tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by
10
%
10 \%
10%
and the number of tenth graders on the honor roll decreased by
12
%
12 \%
12%
. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth
$
6880
\$ 6880
$6880
and his stock in Company B was worth
$
6600
\$ 6600
$6600
. The stock in Company A has decreased
10
%
10\%
10%
since last year and the stock in Company B has decreased
1
%
1 \%
1%
. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth
$
2640
\$ 2640
$2640
and his stock in Company B was worth
$
3300
\$ 3300
$3300
. The stock in Company A has decreased
20
%
20\%
20%
since last year and the stock in Company B has decreased
21
%
21 \%
21%
. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth
$
7440
\$ 7440
$7440
and her stock in Company B was worth
$
4110
\$ 4110
$4110
. The stock in Company A has decreased
10
%
10\%
10%
since last year and the stock in Company B has decreased
20
%
20 \%
20%
. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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Last year at a certain high school, there were
100
100
100
ninth graders on the honor roll and
150
150
150
tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by
17
%
17 \%
17%
and the number of tenth graders on the honor roll increased by
24
%
24 \%
24%
. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth
$
1600
\$ 1600
$1600
and his stock in Company B was worth
$
1750
\$ 1750
$1750
. The stock in Company A has decreased
22
%
22\%
22%
since last year and the stock in Company B has decreased
14
%
14 \%
14%
. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth
$
3180
\$ 3180
$3180
and her stock in Company B was worth
$
940
\$ 940
$940
. The stock in Company A has increased
20
%
20\%
20%
since last year and the stock in Company
B
B
B
has increased
15
%
15 \%
15%
. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
\newline
Answer:
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In a certain town there were
213
213
213
robberies last year. This year the number of robberies has gone down
19
%
19 \%
19%
. How many robberies were there this year, to the nearest whole number?
\newline
Answer:
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In a certain town there were
374
374
374
robberies last year. This year the number of robberies has gone down
26
%
26 \%
26%
. How many robberies were there this year, to the nearest whole number?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
100
100
100
, and then went up by
50
%
50 \%
50%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2010
2010
2010
was
150
150
150
, and then went up by
6
%
6 \%
6%
in
2011
2011
2011
. How many robberies were there in Springfield in
2011
2011
2011
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2013
2013
2013
was
250
250
250
, and then went up by
38
%
38 \%
38%
in
2014
2014
2014
. How many robberies were there in Springfield in
2014
2014
2014
?
\newline
Answer:
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The stock of Company A lost
3.25
%
3.25 \%
3.25%
today to
$
34.83
\$ 34.83
$34.83
. What was the opening price of the stock in the beginning of the day?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
76
76
76
, and then went up by
50
%
50 \%
50%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
200
200
200
, and then went down by
8
%
8 \%
8%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
60
60
60
, and then went down by
25
%
25 \%
25%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
98
98
98
, and then went down by
50
%
50 \%
50%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2012
2012
2012
was
235
235
235
, and then went down by
40
%
40 \%
40%
in
2013
2013
2013
. How many robberies were there in Springfield in
2013
2013
2013
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2010
2010
2010
was
200
200
200
, and then went down by
4
%
4 \%
4%
in
2011
2011
2011
. How many robberies were there in Springfield in
2011
2011
2011
?
\newline
Answer:
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In a newspaper, it was reported that the number of yearly robberies in Springfield in
2010
2010
2010
was
150
150
150
, and then went down by
50
%
50 \%
50%
in
2011
2011
2011
. How many robberies were there in Springfield in
2011
2011
2011
?
\newline
Answer:
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in the west region of the US, the ratio of densely vegetated land to sparsely vegetated land is
11
:
18
11:18
11
:
18
, in the central region of the US, the ratio is
3
:
13
3:13
3
:
13
. What is the difference in percentage of densely vegetated land from the west region to the central region?
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In
2000
2000
2000
, there were
0.025
0.025
0.025
phone subscriptions per person in Africa for both mobile and land-line phones. After that, the land-line phone subscriptions steadily increased by
0.01
0.01
0.01
every
7
7
7
years, while the mobile phone subscriptions grew
48
%
48\%
48%
per year. What was the total number of phone subscriptions per person in
2002
2002
2002
?
\newline
Choose
1
1
1
answer:
\newline
(A)
0.027
0.027
0.027
\newline
(B)
0.034
0.034
0.034
\newline
(C)
0.073
0.073
0.073
\newline
(D)
0.083
0.083
0.083
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During one time period, the price of rhodium increased at a rate that was proportional to the price of rhodium at that time.
\newline
The price for an ounce of rhodium was
$
475
\$ 475
$475
initially, and it quadrupled every
25
25
25
months.
\newline
What was the price for an ounce of rhodium after
18
18
18
months?
\newline
Choose
1
1
1
answer:
\newline
(A)
$
175
\$ 175
$175
\newline
(B)
$
1048
\$ 1048
$1048
\newline
(C)
$
1289
\$ 1289
$1289
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In March, Delphine's house had
40
%
40 \%
40%
more snowfall than in February. Delphine's house had
f
f
f
centimeters of snowfall in February.
\newline
Which of the following expressions could represent how much snowfall Delphine had at her house in March?
\newline
Choose
2
2
2
answers:
\newline
(A)
40
f
40 f
40
f
\newline
(B)
40
+
f
40+f
40
+
f
\newline
(C)
1.4
f
1.4 f
1.4
f
\newline
(D)
40
f
+
f
40 f+f
40
f
+
f
\newline
(E)
4
10
f
+
f
\frac{4}{10} f+f
10
4
f
+
f
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Ayden had a goal of finishing painting at least
80
%
80 \%
80%
of the
500
500
500
square meters of a house's walls by today. He actually finished painting
415
415
415
square meters today.
\newline
Did Ayden meet his goal? Why?
\newline
yes / no Ayden painted
□
\square
□
square meters more / less than his goal.
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Cody was
165
c
m
165 \mathrm{~cm}
165
cm
tall on the first day of school this year, which was
10
%
10 \%
10%
taller than he was on the first day of school last year.
\newline
How tall was Cody on the first day of school last year?
\newline
c
m
\mathrm{cm}
cm
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A gumball machine contains
23
23
23
green gumballs,
52
52
52
red gumballs,
34
34
34
blue gumballs,
61
61
61
yellow gumballs, and
30
30
30
pink gumballs.
\newline
What percentage of the gumballs are red?
\newline
%
\%
%
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In our solar system,
6
6
6
of the
8
8
8
planets have moons.
\newline
What percentage of the planets have moons?
\newline
%
\%
%
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When a grizzly bear hibernates, its heart rate drops to
10
10
10
beats per minute, which is
20
%
20 \%
20%
of its normal value.
\newline
What is a grizzly bear's normal heart rate when not hibernating?
\newline
beats per minute
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Of all the species in the world,
4
4
4
out of every
5
5
5
are insects.
\newline
What percentage of species are insects?
\newline
%
\%
%
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In the United States,
13
13
13
out of every
20
20
20
cans are recycled.
\newline
What percent of cans are recycled?
\newline
%
\%
%
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An estimated
3
3
3
out of every
25
25
25
men are left-handed.
\newline
What percent of men are lefthanded?
\newline
%
\%
%
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There are
25
25
25
students in Ms. Nguyen's second-grade class. In the class election,
4
4
4
students voted for Benjamin,
12
12
12
voted for Sahil, and
9
9
9
voted for Maria.
\newline
What percentage of the class voted for Maria?
\newline
%
\%
%
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John is a quarterback. This year, he completed
350
350
350
passes, which is
70
%
70 \%
70%
of all the passes he's attempted this year.
\newline
How many passes has John attempted this year?
\newline
passes
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A coin contains
9
9
9
grams of nickel and
16
16
16
grams of copper, for a total weight of
25
25
25
grams.
\newline
What percentage of the metal in the coin is copper?
\newline
%
\%
%
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Kong took
15
%
15 \%
15%
fewer seconds than Nolan took to complete his multiplication timed test. Kong took
85
85
85
seconds.
\newline
How many seconds did Nolan take? seconds
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A spider ate
25
%
25 \%
25%
more bugs this month than last month. The spider ate
8
8
8
bugs last month.
\newline
How many bugs did the spider eat this month?
\newline
bugs
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A swimming pool had
2
2
2
.
5
5
5
million liters of water in it. Some water evaporated, and then the pool only had
2
2
2
million liters of water in it.
\newline
What percent of the water evaporated?
\newline
%
\%
%
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A brand of cereal had
1
1
1
.
2
2
2
milligrams
(
m
g
)
(\mathrm{mg})
(
mg
)
of iron per serving. Then they changed their recipe so they had
1.8
m
g
1.8 \mathrm{mg}
1.8
mg
of iron per serving.
\newline
What was the percent increase in iron?
\newline
%
\%
%
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Savanna had
40
40
40
iris blooms last year. This year, she had
15
%
15 \%
15%
more iris blooms.
\newline
How many more iris blooms did Savanna have this year?
\newline
blooms
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Oliver read for
450
450
450
minutes this month. His goal is to read for
10
%
10 \%
10%
more minutes next month.
\newline
If Oliver meets his goal, how many minutes will he read in all during the two months?
\newline
minutes
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There are
20
%
20 \%
20%
more goblins than wizards in magic club. There are
120
120
120
goblins in magic club.
\newline
How many wizards are in the magic club?
\newline
wizards
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In a video game, Val scored
30
%
30 \%
30%
fewer points than Peeta. Peeta scored
1060
1060
1060
points.
\newline
How many points did Val score? points
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Tapiwa raked
5
%
5 \%
5%
more leaves than Adam raked. Tapiwa raked
357
357
357
liters of leaves.
\newline
How many liters of leaves did Adam rake?
\newline
liters
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