Comparing & Scaling
Unit Test Review
The Red Sox bat-boy recorded the fraction of strikes
for four baseball pitchers as shown below.
Player
Fraction of strikes to total pitches
Bard
6 out of 10
Lester
8 out of 12
Buchholz
12 out of 18
Webster
15 out of 18
Which pitcher has the greatest percentage of strikes?
te
r
0%
eb
s
W
uc
hh
o
lz
st
er
0%
B
D.
0%
Le
C.
0%
ar
d
B.
Bard
Lester
Buchholz
Webster
B
A.
Tom answered 45 out of 60
questions correctly on his last
math test. What percent is
equivalent to 45
60
%
0%
80
0%
%
0%
75
0%
%
D.
50
C.
%
B.
20%
50%
75%
80%
20
A.
Mr. Taffel was born in a state where
the sales tax is 6%. Which of the
following decimal numbers is
equivalent to 6%?
0%
0%
0%
6
0%
.0
0
D.
.0
6
C.
6
B.
.6
6
.06
.006
.6
A.
Three basketball players totaled their points at the
end of their senior year. The chart below shows
these totals.
Player
Number of Points
George
1,200
Steven
1000
T-Money
800
What fraction of the total number of points
were scored by George?
5
6
1/
0%
3/
0%
5
D.
0%
6/
C.
0%
5
B.
2/5
6/5
3/5
1/6
2/
A.
The chart below shows the cost of the four differentsized drinks that are available at Burger King.
Drink Size
Ounces per drink
Small
Cost of Drink ($)
8
1.30
Medium
12
1.75
Large
20
2.30
King-Size
30
2.80
Which of the following drinks has the least cost
per ounce?
0%
in
g
-S
iz
e
rg
e
La
m
ed
iu
0%
K
D.
0%
M
C.
0%
l
B.
Small
Medium
Large
King-Size
Sm
al
A.
Mr. Flaherty bought 2 1/6 pounds
of oranges. Which of the following is closest
to 2 1/6 written in decimal notation?
0%
0%
0%
5
0%
2.
37
D.
2.
17
C.
2.
25
B.
2.88
2.25
2.17
2.375
2.
88
A.
SHORT ANSWER
Chobani Yogurt is sold at these four stores.
Each yogurt is 6oz. Find the best buy.




Shaws
Quantity
Cost
8
$7.52
Quantity
Cost
12
$12.72
Quantity
Cost
5
$4.90
Quantity
Cost
3
$2.76
Market Basket
Green Grocer
Stop & Shop
The chart below shows a family’s annual expenses.
Expense
Housing
Percentage
If the family’s annual income is $80,000, what
is the family’s annual expense for housing?
35%
A.
Food
20%
B.
Transport.
8%
C.
D.
Medical
15%
Clothing
8%
Other
14%
$30,000
$40,000
$35,000
$28,000
0%
$30,000
0%
0%
0%
$40,000
$35,000
$28,000
If the Patriots won 75% of their games and they
played 16 games, how many games did they win?
0%
0%
0%
0%
14
D.
12
C.
10
B.
8
10
12
14
8
A.
In the town of Newburyport, the ratio of right-handers
to left-handers is 10:2. If there are 18,000 total
people in Newburyport, what is the total number of
left-handers?
00
0%
90
0%
00
0%
40
0%
00
D.
30
C.
00
B.
2,000
3,000
4,000
9,000
20
A.
At 2:00 P.M. on a sunny day,
a tree 21 feet tall casts a
shadow 28 feet long. At the
same time a nearby flagpole
casts a shadow 36 feet long.
What is the height, in feet, of the flagpole?
t
fe
e
27
fe
e
32
fe
e
0%
t
0%
t
0%
24
D.
0%
t
C.
fe
e
B.
28 feet
24 feet
32 feet
27 feet
28
A.
Howard runs 630 feet in 1 minute.
What is his average rate of speed,
in feet per second ?
on
d
ec
er
s
tp
fe
e
tp
10
.5
fe
e
10
0%
d
co
n
se
er
se
er
tp
fe
e
15
0%
d
0%
co
n
nd
co
se
er
tp
D.
fe
e
C.
0%
5
B.
1.5 feet per second
15 feet per second
10 feet per second
10.5 feet per second
1.
A.
Last year, there were 562 students enrolled
at Plum Island Center for the Arts. The ratio
of the number of students to the number of
faculty members was approximately 17:2.
Based on this ratio, which of the following is
closest to the number of faculty members that year?
0%
0%
0%
0%
99
D.
66
C.
50
B.
33
50
66
99
33
A.
A-Rod ran 27 ¾ yards before he tried to slap
the ball out of the pitcher’s glove.
What is the length, in feet, of the distance he ran?
et
83
¼
fe
fe
e
8
¾
fe
e
¼
9
0%
t
0%
t
0%
et
D.
0%
fe
C.
¼
B.
81 ¼ feet
9 ¼ feet
8 ¾ feet
83 ¼ feet
81
A.
Mr. Reynolds went running four times this week.
The length, in hours, of each of his runs is shown
below.
2¼
1¼
2¾
2/3
What is the total time of his four runs?
0%
ho
ur
s
6
¾
6
3/
7
ho
ho
¼
6
0%
ur
s
0%
ur
s
ur
s
ho
D.
0%
/1
2
C.
11/12 hours
¼ hours
3/7 hours
¾ hours
11
B.
6
6
6
6
6
A.
D.
0%
0%
0%
0%
16
C.
34
B.
32
34
8
16
32
A.
8
Jodi correctly answered 80% of the
questions on a history test that
contained exactly 40 questions. How
many of the questions did he answer
incorrectly?
Kathy is making whipped cream using
the recipe shown below.
4 cups heavy cream
1 ¼ cups sugar,
4 tablespoons vanilla extract
If Kathy is going to triple the recipe,
how many cups of sugar will she need?
cu
ps
0%
4
cu
p
¾
3
3
½
cu
p
s
0%
s
0%
s
D.
0%
cu
p
C.
¼
B.
3 ¼ cups
3 ½ cups
3 ¾ cups
4 cups
3
A.
Short Answer
The designs for the courtyard at Nock
Middle School show that the length of
each side is 48 feet.
The scale drawing of the courtyard
shows that ¼ inch represents 1 foot.
48 ft
What should be the length, in inches,
of the scale drawing of the courtyard?
Please write a proportion first to help
you solve this problem.
Short Answer
What is 35% of 400
Short Answer
What percent of the
total calories
comes from fat?
Short Answer
The 7th Grade at Nock Middle School plans to purchase
tickets to see the UMass Lowell River Hawks hockey team.
The standard fare for an individual ticket is shown below.
Ticket Price
Standard Fare
Individual Ticket Price
$20
The group is informed that, because of the size of the group, the standard fare
will be reduced by 35%.
A. With the discount of 35%, how much does each member of the 7th grade save?
B. With the discount of 35%, how much does each member of the 7th grade
have to pay for a ticket?
Short Answer
Here are the prices and deals for tickets to the
football game this weekend:
Blue Tickets
Green Tickets
Orange Tickets
30 tickets for $2680
20 tickets for $1840
5 tickets for $475
1. Find the unit price for each ticket color
2. How much will 35 blue tickets cost?
3. How many orange tickets can you buy for $950?
Short Answer
An airplane covers a distance of 151 miles in 20 minutes
A. What is the speed of the airplane in miles per minute?
B. What is the speed of the airplane in miles per hour?
C. Write an equation you can use to determine how long it
would take the airplane to cover any distance if it travels at
the same speed.
D. How far does the airplane travel in 45 minutes?