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Math Problems
Grade 7
Percent error: word problems
A group of friends went to play minigolf at Adventureland. Anna's score was \\[\(26\)\\] putts, Daniela's score was \\[\(31\)\\] putts, Luiza's score was \\[\(39\)\\] putts, and Vera's score was \\[\(32\)\\] putts. Find the mean absolute deviation (MAD) of the data set. putts
\(\newline\)A) \(3\).\(5\)\(\newline\)B) \(4\).\(5\)\(\newline\)C) \(5\).\(5\)\(\newline\)D) \(6\).\(5\)
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Which number has a
3
3
3
with a value that is
100
100
100
times greater than the value of the
3
3
3
in
20.342
20.342
20.342
?
\newline
a)
108.173
108.173
108.173
\newline
b)
423.06
423.06
423.06
\newline
c)
36.25
36.25
36.25
\newline
d)
307.18
307.18
307.18
\newline
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Which number has a
3
3
3
with a value that is
100
100
100
times greater than the value of the
3
3
3
in
20.342
?
20.342 ?
20.342
?
\newline
\newline
108
108
108
.
173
173
173
\newline
423
423
423
.
06
06
06
\newline
36
36
36
.
25
25
25
\newline
307
307
307
.
18
18
18
\newline
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A baseball player got
10
10
10
hits in
39
39
39
times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.)
\newline
_____
Y
0
Y_{0}
Y
0
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When Quincy saw the length of the line at the department store's cash register, he predicted he'd have to wait
15
15
15
minutes. He actually waited only
10
10
10
minutes. What is the percent error for Quincy's prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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A grocery store near Hansen's house had a contest in which customers guessed how many jelly beans were in a glass jug. The closest guess would win a gift card. The actual total was
497
497
497
jelly beans, and Hansen's guess of
496
496
496
jelly beans made him the winner! What is the percent error for Hansen's guess?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Carmen participated in a walkathon to raise money for the local library. Before the hour-long event began, Carmen estimated that she would walk
3.5
3.5
3.5
miles, but she ended up walking
4
4
4
miles. What is the percent error for Carmen's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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When Adele arrived at her dentist appointment, the receptionist told her the wait would be about
20
20
20
minutes. Adele actually waited only
16
16
16
minutes. What is the percent error for the receptionist's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Dwayne volunteered to clean the garage. He thought it would only take an hour, but it actually took him two and a half hours. What is the percent error for his estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Patrick estimated he would need
45
45
45
minutes to get ready for the first day of school, but he only needed
40
40
40
minutes. What is the percent error for his estimate? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Colton likes to see how quickly he can finish the crossword puzzle in his local newspaper. After glancing at today's puzzle, Colton predicted he could complete it in
14
14
14
minutes. It actually took him
16
16
16
minutes to finish the puzzle. What is the percent error for Colton's prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Clare and her friends offered to help their science teacher pack up his materials at the end of the school year. When Clare saw how much there was to pack, she guessed it would take
3
3
3
hours to finish. It actually took them only
2
1
2
2 \frac{1}{2}
2
2
1
hours. What is the percent error for Clare's estimate? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Michelle practiced all week to improve her typing speed. She estimated she could type
27
27
27
words per minute. When she took her typing test, she actually typed
30
30
30
words per minute. What is the percent error for Michelle's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Harold ran in a
1
1
1
-mile race. He estimated his average running speed to be
10
10
10
miles per hour, but it was actually
9.9
9.9
9.9
miles per hour. What is the percent error for his estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
\newline
____
%
\%
%
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As part of a math lesson on probability, Mr. Keen rolled a standard die
30
30
30
times. He predicted the die would land on three
5
5
5
times. He actually rolled a three
8
8
8
times. What is the percent error for his prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
\newline
_
_
%
\_\_\%
__%
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The morning after a big snowfall,
4
4
4
students were late for class due to snowy roads. The teacher had expected that
6
6
6
students would be late for class. What is the percent error for the teacher's prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
\newline
_
_
%
\_\_\%
__%
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Anna estimated that
12
12
12
people would attend her birthday party, but
15
15
15
people actually attended. What is the percent error for her estimate? If necessary, round your answer to the nearest tenth of a percent.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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The English teachers at Baker High School added a new class in creative writing. The teachers expected
20
20
20
students to sign up, so they were very surprised when
45
45
45
students actually enrolled. What is the percent error for their estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
\newline
____
%
\%
%
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Wesley always estimates his grocery store total as he shops. While at Silver Street Groceries this morning, he estimated his total purchase would be
50
$
50 \$
50$
, but it was actually
46.10
$
46.10 \$
46.10$
. What is the percent error for his estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Trisha was making muffins from scratch. She scooped out
2
2
2
cups of all-purpose flour and estimated that it weighed
250
250
250
grams. When she weighed the flour on the scale, it only weighed
247
247
247
grams. What is the percent error of Trisha's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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On his math quiz, Anthony used a protractor to measure an angle. He misread the protractor and thought the angle measured
2
8
∘
28 ^\circ
2
8
∘
. When he double-checked his work before turning it in, he realized the actual measure of the angle was
3
2
∘
32 ^\circ
3
2
∘
. What is the percent error for his original measurement? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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As part of a probability experiment for math class, Reid flipped a coin a hundred times. He predicted it would land on heads
50
50
50
times, but it actually landed on heads
40
40
40
times. What is the percent error for Reid's prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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A new craft store, Crazy Crafts, announced its grand opening. On the first day, there were
75
75
75
customers. The manager had expected that
45
45
45
customers would come. What is the percent error for the manager's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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The meteorologist at Channel
8
8
8
News predicted that a snowstorm would drop
7
7
7
inches of snow. After the storm, she reported that the actual snowfall was
4
4
4
inches. What is the percent error for the meteorologist's prediction?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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At the end of the school year, Miss Anderson always puts together a video for her drama class using the photos she took during the year. Before starting on this year's video, she expected to use
200
200
200
photos. When she was finished with the video, she'd actually used
250
250
250
photos. What is the percent error for Miss Anderson's estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Greta is mailing a care package to her little sister at college. After packing the box, she weighs it on her bathroom scale to estimate the mailing cost. The scale shows the package weighing
3
3
3
pounds. At the post office, the clerk weighs the package on a more precise scale, and it weighs
3.25
3.25
3.25
pounds. What is the percent error for Greta's scale's measurement? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Eve took a road trip to visit an old friend. She expected the drive to take
3
3
3
hours and
30
30
30
minutes, but she was delayed by construction and it actually took
4
4
4
hours. What is the percent error for her estimate? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Paula was buying candy from a candy dispenser. She inserted a quarter and expected to get
14
14
14
pieces of candy. Only
10
10
10
pieces of candy actually came out of the dispenser. What is the percent error for the number of candy pieces Paula expected to get? If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Yesterday was the first day of the Dodge County Fair. The fair's organizers estimated
1
,
200
1,200
1
,
200
people would attend. Unfortunately, it rained, so only
960
960
960
people attended. What is the percent error for the organizers' estimate?
\newline
If necessary, round your answer to the nearest tenth of a percent.
\newline
____
%
\%
%
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Luna buys a shirt that costs
$
15.65
\$15.65
$15.65
. She gives the cashier
$
20.00
\$20.00
$20.00
and receives
$
3.25
\$3.25
$3.25
in change. What is the percent error in the amount of change she was given?
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20
20
20
If you buy a new sweatshirt that is priced at
$
35
\$ 35
$35
, and pay
37
37
37
.
50
50
50
after tax, what was the sales tax rate? Round to the nearest whole percent.
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A bag contains
3
3
3
red marbles,
5
5
5
blue marbles and
8
8
8
green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oth of a percent, that both marbles drawn will be blue?
\newline
Answer:
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A bag contains
5
5
5
red marbles,
7
7
7
blue marbles and
3
3
3
green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oth of a percent, that both marbles drawn will be blue?
\newline
Answer:
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A bag contains
3
3
3
red marbles,
5
5
5
blue marbles and
6
6
6
green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oth of a percent, that both marbles drawn will be green?
\newline
Answer:
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A bag contains
5
5
5
red marbles,
7
7
7
blue marbles and
2
2
2
green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oth of a percent, that both marbles drawn will be green?
\newline
Answer:
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A bag contains
8
8
8
red marbles,
4
4
4
blue marbles and
5
5
5
green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest
10
10
10
th of a percent, that all three marbles drawn will be green?
\newline
Answer:
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A bag contains
7
7
7
red marbles,
5
5
5
blue marbles and
3
3
3
green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oth of a percent, that both marbles drawn will be red?
\newline
Answer:
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Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table. Rounded to the nearest tenth of a percent, what percentage of guitars that needed neck repair were electric? (Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
%
\%
%
, enter
.)
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What sample size would you need to estimate the average amount of time spent on non-school related assignments, within
2
2
2
minutes if you wanted to be
97
%
97 \%
97%
confident in your estimate, given
σ
=
9.5
\sigma=9.5
σ
=
9.5
.
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Maya measured a line to be
11
11
11
.
1
1
1
inches long. If the actual length of the line is
11
11
11
.
8
8
8
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: ______
%
\%
%
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Lily measured a line to be
2
2
2
.
7
7
7
inches long. If the actual length of the line is
2
2
2
.
6
6
6
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: ________
%
\%
%
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Chase measured a line to be
2
2
2
.
8
8
8
inches long. If the actual length of the line is
2
2
2
.
9
9
9
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer:_______
%
\%
%
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Ava measured a line to be
8
8
8
.
7
7
7
inches long. If the actual length of the line is
9
9
9
.
4
4
4
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer:__________
%
\%
%
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Audrey measured a line to be
8
8
8
.
7
7
7
inches long. If the actual length of the line is
8
8
8
.
4
4
4
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: ______
%
\%
%
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Robert measured a line to be
2
2
2
.
4
4
4
inches long. If the actual length of the line is
3
3
3
.
2
2
2
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: _________
%
\%
%
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Scarlett measured a line to be
4
4
4
.
1
1
1
inches long. If the actual length of the line is
4
4
4
.
3
3
3
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer:_______
%
\%
%
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Kayla measured a line to be
15
15
15
inches long. If the actual length of the line is
16
16
16
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: ______
%
\%
%
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Gabriel measured a line to be
16
16
16
.
1
1
1
inches long. If the actual length of the line is
16
16
16
.
5
5
5
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: _______
%
\%
%
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Nathaniel measured a line to be
12
12
12
.
2
2
2
inches long. If the actual length of the line is
10
10
10
.
2
2
2
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer:______
%
\%
%
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Jocelyn measured a line to be
12
12
12
.
5
5
5
inches long. If the actual length of the line is
12
12
12
.
4
4
4
inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
\newline
Answer: ________
%
\%
%
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