Download Fractions, Decimals, and Percents

Kuta Software - Infinite Pre-Algebra
Name___________________________________
Fractions, Decimals, and Percents
Date________________ Period____
Write each as a decimal. Round to the thousandths place.
1) 90%
2) 30%
3) 115.9%
4) 9%
5) 7%
6) 65%
7) 0.3%
8) 445%
Write each as a percent. Round to the nearest tenth of a percent.
9) 0.452
10) 0.006
11) 0.002
12) 0.05
13) 4.78
14) 0.1
15) 3.63
16) 0.03
Write each as a fraction.
17) 25%
18) 70%
19) 93%
20) 58%
21) 50%
22) 66.6%
23) 20%
24) 80%
25) 71%
26) 30%
Write each as a percent. Use repeating decimals when necessary.
27)
1
2
28)
1
8
29)
2
3
30)
1
100
32)
3
8
34)
87
100
31) 2
33)
1
10
1
10
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Fractions, Decimals, and Percents
Date________________ Period____
Write each as a decimal. Round to the thousandths place.
1) 90%
2) 30%
0.9
0.3
3) 115.9%
1.159
5) 7%
0.07
7) 0.3%
0.003
4) 9%
0.09
6) 65%
0.65
8) 445%
4.45
Write each as a percent. Round to the nearest tenth of a percent.
9) 0.452
45.2%
10) 0.006
0.6%
11) 0.002
12) 0.05
0.2%
5%
13) 4.78
478%
15) 3.63
363%
14) 0.1
10%
16) 0.03
3%
Write each as a fraction.
17) 25%
1
4
18) 70%
7
10
19) 93%
20) 58%
93
100
21) 50%
29
50
22) 66.6%
1
2
23) 20%
2
3
24) 80%
1
5
25) 71%
4
5
26) 30%
71
100
3
10
Write each as a percent. Use repeating decimals when necessary.
27)
1
2
28)
50%
29)
2
3
12.5%
30)
66.6%
31) 2
1
10
1
10
10%
1
100
1%
32)
210%
33)
1
8
3
8
37.5%
34)
87
100
87%
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Finding Percent Change
Date________________ Period____
Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease.
1) From 82 to 38
2) From 75 to 45
3) From 33 to 47
4) From 92 to 9.7
5) From 70 to 62
6) From 8 to 4
7) From 58.5 to 76.3
8) From 58 to 53
9) From 79 to 94
10) From 63 to 98
11) From 84 to 4
12) From 71 to 22
13) From 79 ft to 157 ft
14) From 174 miles to 135.9 miles
15) From $109 to $98
16) From 122 minutes to 109 minutes
17) From 43 minutes to 160 minutes
18) From 55 grams to 70 grams
19) From 199 ft to 92 ft
20) From 152 miles to 196 miles
21) From 141 grams to 142 grams
22) From 88 grams to 84 grams
23) From 43 minutes to 28 minutes
24) From 54 m to 154 m
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Finding Percent Change
Date________________ Period____
Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease.
1) From 82 to 38
53.7% decrease
3) From 33 to 47
42.4% increase
5) From 70 to 62
11.4% decrease
7) From 58.5 to 76.3
30.4% increase
9) From 79 to 94
19% increase
11) From 84 to 4
95.2% decrease
13) From 79 ft to 157 ft
98.7% increase
15) From $109 to $98
10.1% decrease
17) From 43 minutes to 160 minutes
272.1% increase
19) From 199 ft to 92 ft
53.8% decrease
21) From 141 grams to 142 grams
0.7% increase
23) From 43 minutes to 28 minutes
34.9% decrease
2) From 75 to 45
40% decrease
4) From 92 to 9.7
89.5% decrease
6) From 8 to 4
50% decrease
8) From 58 to 53
8.6% decrease
10) From 63 to 98
55.6% increase
12) From 71 to 22
69% decrease
14) From 174 miles to 135.9 miles
21.9% decrease
16) From 122 minutes to 109 minutes
10.7% decrease
18) From 55 grams to 70 grams
27.3% increase
20) From 152 miles to 196 miles
28.9% increase
22) From 88 grams to 84 grams
4.5% decrease
24) From 54 m to 154 m
185.2% increase
NOTE TO TEACHERS: • Calculators may be used for questions unless indicated otherwise. • Two formula sheets are provided on the last two pages for grades 6, 7, 8,
11 and the Grad. • The learning standard addressed in each question is included after the answer. • In most cases, for answers requiring a constructed response, several
suggested solutions are included. There may be (probably are) other solutions possible.
Newspapers In Education
EIGHTH GRADE MATH
1. One fourth of the students at Hazel Park Junior High
chose to take a foreign language elective course of
either Spanish, French or German. Of those students,
two thirds chose Spanish. What fraction of all the students at Hazel Park Junior High chose Spanish as a
foreign language elective?
(no calculator)
A.
B.
C.
D.
5. A teacher at Highland Junior High entered a 72, 76, 80
and a 76 for a student’s recent math test scores. The student needed to make up a math test due to an excused
absence. When the student made up the test, she received
a 100. Which of the following is a true statement?
A.
B.
1/6
1/5
3/7
11/12
C.
D.
2. A number to the 8th power divided by the same number to the 4th power equals 625. What is the number?
A.
B.
C.
D.
6. Given the following data, determine which box-andwhisker plot is correct.
25, 30, 20, 35, 40, 40, 45, 25, 60, 50, 55, 55
5
11
15
25
2
3. What is the value of m + m2 – 15, when m = 3?
9
A.
B.
C.
D.
The mean score remained the same.
The mean score increased and the median
remained the same.
The median score increased and the mean score
remained the same.
Both the mean score and the median score
increased.
A.
20 25 30 35 40 45 50 55 60
-9
-5
3
5
B.
4. What is the 100th term of the arithmetic sequence?
Put your answer in the grid below.
20 25 30 35 40 45 50 55 60
-3, -7, -11, -15, …
C.
20 25 30 35 40 45 50 55 60
D.
1
20 25 30 35 40 45 50 55 60
Newspapers In Education
EIGHTH GRADE MATH
7. Which three-dimensional figure can the following net
be used to make?
11.Two squares have a ratio of corresponding sides that is
1:3. What is the ratio of the areas?
A.
B.
C.
D.
1:3
1:6
1:9
1:5
12.Which of the following is an irrational number?
A. cube
B. cone
C. square pyramid
D. triangular prism
A.
B.
C.
D.
√9
√36
√200
√256
8. Which of the following numbers is between
25% and 40%?
A.
B.
C.
D.
13.Which operation will make this correct?
1/5
1/3
3/5
11/15
3
45___(6 + 3) + 4 = 69
A.
B.
C.
D.
9. You place a black ball, red ball, blue ball and a yellow
ball in a bag. If you pull out a blue ball and then
replace it, what is the theoretical probability that you
will pull out the blue ball again on your second try?
A.
B.
C.
D.
–
+
x
÷
14.In the linear equation y = -3x + 5, the value -3
represents which of the following?
12.5%
25%
50%
62.5%
A.
B.
C.
D.
10.Technology Abounds is having a 5% sale on their 3GB
iPods. Tommy is thinking of buying a 2GB iPod for
$123.99 or the 3GB iPod originally priced at $213.99.
Tommy must also pay a 6 1/2% sales tax. Compare the
costs of the two iPods and explain which iPod Tommy
should purchase from Technology Abounds if he wants
the better buy.
the slope of the line
the y- coordinate of the y-intercept
the x-coordinate of the y-intercept
the quadrant in which the line lies
15.Which of the following is NOT a function?
A.
B.
C.
D.
{ (7, 7), (6, 5), (5, 4) }
{ (7, 5), (6, 5), (5, 4) }
{ (7, 5), (5, 6), (5, 4) }
{ (7, 7), (6, 6), (5, 5) }
16.The radius of the planet Saturn in miles is 37,500.
Which expression represents the radius of Saturn in
miles in scientific notation?
2
A.
B.
C.
D.
3.75 x 10-4
37.5 x 103
375 x 102
3.75 x 104
Newspapers In Education
EIGHTH GRADE MATH
17.Which values of k make the equation true?
20.Yang’s tutor from the college costs $10 per visit plus
$20 per hour spent tutoring. Write an equation that
represents Yang’s daily cost (y) if he spends (x) amount
of hours with his tutor in one visit. Graph the equation
(label your axis) and explain what the slope represents.
|k| + 3 = 12
A.
B.
C.
D.
9
9 and -9
9 and -15
15 and -15
18.Which ordered pair represents the solution to the
following linear system?
y=x–2
y = 3x
A.
B.
C.
D.
(-2, -6)
(-1, -3)
(0, -2)
(1,3)
Use the graph below for problem 19.
y
x
19.What is the equation of the above line?
A.
B.
C.
D.
y = 3x - 5
y=x+2
y=x–2
y = -3x + 5
3
Newspapers In Education
EIGHTH GRADE MATH
21.What is the volume of the cylinder where the diameter
of the base is 4" and the height is 10"?
24.A Humboldt Junior High basketball star scored 18, 21,
32 and 17 points in the first four games of the season.
He is aiming to score 22 points per game for the season.
How many points does he need to score in his next game
to achieve this?
Put your answer in the grid below.
A. 20 in2
B. 40 in2
C. 160 in3
D. 400 in3
22.Which algebraic expression represents the phrase
“a number less than 7?”
A.
B.
C.
D.
x–7
7x
x/7
7–x
25.If a student chooses a number from 1 to 10, and another student has one guess to try to get it, how many
times would you expect the student to get it right if
they did this 20 times?
A.
B.
C.
D.
Use the following bar graph of the average math scores per year to answer
question number 23.
Math Scores
0
2
10
20
26.A waitress, Mai, received a 17% tip on a $136.78 dinner.
How much money did Mai receive?
A.
B.
C.
D.
Year
23.Which of the following in the bar graph above is a false
statement?
A.
B.
C.
D.
$21.00
$21.25
$23.25
$25.25
27.One mile is about 1.6 kilometers. Emma lives
4 miles from school. About how many kilometers does
she live from school?
2004 had the lowest of the average math scores
from 2004 through 2007.
The average math scores increased over the four
year period.
There is approximately a ten-point increase in
the average test scores between 2005 and 2006.
There is not enough information in the bar graph
that allows for any conclusions to be drawn.
A.
B.
C.
D.
4
about 1.6 kilometers
about 4 kilometers
about 5.6 kilometers
about 6.4 kilometers
Newspapers In Education
EIGHTH GRADE MATH
28.Polygon ABCD is congruent to Polygon EFGH. Given
that AD = 7x + 3 and EH = 6x + 5. Find the length AD.
A.
B.
C.
D.
2
8
13
17
29.Which figure shows a line of symmetry?
A.
C.
B.
D.
30.A statue of Mr. Ed Leader, who is 6 ft. tall, was unveiled
in honor of his dedication to the MCAII tests. He was
curious to find how high the statue stood. Mr. Ed
Leader and his previous math teacher from Capitol Hill
School measured the shadows cast. The shadow length
of Mr. Ed Leader was 15 ft. and the statue was 45 ft.
Explain or show how they can use a proportion to find
the height of the statue.
5
Newspapers In Education
EIGHTH GRADE MATH
Formula Sheets
The formulas below may be used to solve problems on this test
NOTES
6
Newspapers In Education
SIXTH GRADE MATH
Formula Sheets
The formulas below may be used to solve problems on this test
NOTES
7
Newspapers In Education
EIGHTH GRADE MATH ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20. The slope, 20, represents Yang’s hourly rate of $20 per
hour. (algebra - apply the correct order of operations
including addition, subtraction, multiplication, division,
grouping symbols, and powers, to simplify and evaluate
algebraic expressions)
A (number sense – use rational and irrational numbers to
solve real-world problems)
A (computation & operation – multiply and divide
expressions involving exponents with a common base)
B (algebra – multiply and divide expressions of the form
axn)
-399 (patterns & functions – recognize when a list of
numbers forms an arithmetic or geometric progression and
able to determine subsequent terms in the progression)
B (data & statistics – compute the quartiles of a data set)
C (data & statistics – construct and analyze box-and-whisker
plots)
A (spatial sense – know how to find the surface areas of
cubes)
B (number sense – represent and compare rational and
irrational numbers symbolically)
B (probability – understand that p is the probability of an
event occurring)
The 2GB is at $66.03 per GB. The 3GB is at $72.17 per GB.
Therefore, the 2GB is the better buy. (number sense –
use rational and irrational numbers to solve real-world
and mathematical problems)
C (geometry – use the concept of similarity in simple twodimensional figures to solve real-world and
mathematical problems involving proportionality)
C (number sense – classify numbers as rational or
irrational)
D (computation & operation – apply the correct order of
operations and grouping symbols)
A (patterns & functions – represent quantitative
relationships graphically and use the graphs to solve
real-world and mathematical problems)
C (patterns & functions – represent quantitative
relationships graphically and use the graphs to solve
real-world and mathematical problems)
D (computation & operation – use scientific notation with
positive and negative powers of 10, with appropriate
treatment of significant digits, to solve real-world and
mathematical problems)
B (patterns & functions – represent quantitative relation
ships graphically and use the graphs to solve real-world
and mathematical problems)
B (algebra – apply the correct order of operations
including addition, subtraction, multiplication, division,
grouping symbols, and powers, to simplify and evaluate
algebraic expressions)
C (algebra - apply the correct order of operations
including addition, subtraction, multiplication, division,
grouping symbols, and powers, to simplify and evaluate
algebraic expressions)
21. B (geometry – know how to solve the surface area and
volume of cubes, prisms, and cylinders)
22. D (algebra – apply the correct order of operations
including subtraction to simplify and evaluate algebraic
expressions)
23. D (data & statistics – construct and analyze graphs)
24. 22 (data & statistics – compute the quartiles of a data set)
25. B (probability – use a variety of experiments to explore the
relationship between experimental and theoretical
probabilities and the effect of the sample size)
26. C (number sense – use rational and irrational numbers to
solve real-world and mathematical problems)
27. D (measurement – use the concept of similarity in simple
two-dimensional figures to solve real-world and
mathematical problems involving proportionality)
28. A (geometry – apply the relationship between changes in
one or more linear distances in a planar figure and the
change in area)
29. D (geometry – predict the position and orientation of
simple geometric shapes)
6 ft
? ft
15 ft
45 ft
30. 6ft/?ft = 15ft/45ft or since 15 x 3 = 45 then 6 x 3 = 18
The height of the statue is 18ft. (geometry – use the concept
of similarity in simple two-dimensional figures to solve realworld and mathematical problems involving proportionality)
1