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CPT
Mathematics
Review
The
College
Entry-Level
Placement
Test
(CPT)
for
mathematics
will
be
used
to
determine
your
placement
into
a
mathematic
class.
The
test
begins
at
the
elementary
algebra
level.
If
your
algebra
skills
are
strong
enough,
you
will
be
branched
into
the
college-level
mathematics
test
for
course
placement.
If
your
algebra
skills
are
weak,
you
will
be
branched
down
into
the
arithmetic
section
of
the
test.
The
arithmetic
portion
of
the
test
will
measure
your
ability
to
work
with
whole
numbers,
fractions,
decimals,
percents,
and
word
problems
that
can
be
solved
without
using
algebra.
If
your
arithmetic
skills
are
strong
enough
you
will
be
placed
into
Elementary
Algebra;
if
not
you
will
be
placed
into
Pre-Algebra.
Elementary
Algebra
Test
Arithmetic Test
College-level
Mathematics
Test
and
Placement
Elementary
Algebra
Placement
Pre-Algebra
Placement
The
attached
sample
tests
are
representative
of
the
type
and
style
of
questions
that
you
will
see
on
the
CPT.
If
you
have
difficulty
with
a
type
of
question,
such
as
a
fraction
question,
you
should
study
that
concept
more
thoroughly.
The
Learning
Support
Centers
and
libraries
on
each
campus
will
have
additional
textbooks
available
for
you
to
use
to
review
for
the
CPT.
These
tests
are
intended
to
function
as
a
review
of
skills,
not
a
substitution
for
knowledge.
Simply
memorizing
how
to
do
these
specific
problems
will
not
guarantee
that
you
will
pass
the
CPT.
Good luck as you prepare for this most important placement test.
Arithmetic
Review
Read
all
questions
carefully.
Make
sure
you
are
answering
the
question
that
is
being
asked.
Work
problems
out
completely.
Try
not
to
guess.
1.
How
many
three
foot
wide
pieces
of
fencing
are
needed
to
surround
the
perimeter
of
a
yard
that
is
15
feet
long
and
24
feet
wide?
A)
13
B)
26
C)
39
D)
78
2.
Mary’s
savings
account
contained
$2,491.
On
Monday
she
withdrew
$725
and
on
Thursday
she
deposited
$984.
How
much
was
in
her
savings
account
after
these
transactions?
A)
$782
B)
$2232
C)
$2750
D)
$4200
3.
The
Smith
family
moved
into
a
new
home
and
had
to
buy
new
kitchen
appliances.
Estimate
the
cost
to
the
nearest
hundred
dollars
for
the
purchase
of
a
dishwasher
$695,
stove
$999,
and
refrigerator
$1599.
A)
$3290
B)
$3293
C)
$3200
D)
$3300
4.
A
movie
theater
has
seats
arranged
in
25
rows
with
30
seats
in
each
row.
How
many
seats
are
in
the
theater?
A)
55
B)
110
C)
750
D)
562,500
5.
A
train
carrying
3
4
ton
of
coal
drops
off
1
3
ton
in
Pittsburgh,
then
drops
off
1
6
ton
in
Buffalo.
How
much
coal
is
the
train
carrying
after
it
leaves
Buffalo?
A)
1
3
ton
B)
1
4
ton
C)
1
12
ton
D)
7
12
ton
6.
Find
the
sum
in
lowest
terms.
1
1
4
3
2
5
+
A)
4
1
10
B)
4
1
3
C)
4
13
20
D)
4
3
20
7.
Jennifer
borrowed
$720
for
a
new
TV.
She
has
paid
3
4
of
the
debt.
How
much
does
she still owe ?
A)
$180.00
B)
$540.00
C)
$719.25
D)
$960.00
8.
Which
of
the
following
is
the
best
approximation
for
the
product
of
42.081
´
99.91?
A)
42
B)
420
C)
4200
D)
42000
9.
6
1
5
2
3
5
-
A)
4
2
5
B)
3
2
5
C)
3
3
5
D)
4
3
5
10.
5
16
¸5
A)
3
B)
25
16
C)
16
D)
31
11.
Which
of
the
following
cannot
be
true
about
the
statement
0.9
<1.5
<
X
?
A)
X
=
0.95
B)
X
=
0.145
C)
X
=
1.13
D)
X
=
1
12.
If
a
recipe
calls
for
2
1
2
cups
of
flour
and
you
want
to
make
five
times
the
recipe,
how
much flour do you need?
A)
2
1
10
cups
B)
2
1
7
cups
C)
2
1
12
cups
D)
2
5
2
cups
13.
Find
the
average
of
the
following
list
of
data:
14.2,
18.3,
9.6,
11.4,
and
7
A)
11.9
B)
10.1
C)
12.1
D)
12.3
14. Write 0.68 as a fraction in lowest terms.
A)
25
19
B)
50
33
C)
25
17
D)
25
16
15.
There
are
40
women
and
35
men
in
the
drama
club.
Find
the
ratio
(in
lowest
terms)
of
women
to
the
total
number
of
students
in
the
club.
A)
7
8
B)
7
15
C)
8
7
D)
8
15
16.
A
basketball
player
makes
6
free
throws
in
his
first
10
attempts.
If
he
continues
at
the
same
rate,
how
many
free
throws
will
he
make
in
25
attempts?
A)
9
B)
12
C)
15
D)
18
17.
Which
of
the
following
cans/bottles
of
Coca-Cola
has
the
lowest
cost
per
ounce?
A)
12
oz
for
55¢
B)
16
oz
for
75¢
C)
32
oz
for
$1.09
D)
48
oz
for
$1.69
18.
17
is
what
percent
of
.17?
A)
1%
B)
100%
C)
1000%
D)
10000%
19.
Mary
and
her
five
children
are
to
inherit
a
total
of
$12,400.
Mary
is
to
receive
4
1
of
the
money
and
the
children
are
to
evenly
split
the
remaining
moneys.
How
much
money
will
each
child
receive?
A)
$1860
B)
$2480
C)
$3100
D)
$9300
20.
Jill
is
buying
new
appliances.
The
cost
of
the
dishwasher
is
$459
and
the
cost
of
the
microwave
is
$289.
What
is
the
total
price
including
the
sales
tax
rate
of
7%?
A)
$52.36
B)
$800.36
C)
$748.00
D)
$700.36
21.
A
watch
loses
15
seconds
every
hour.
How
many
minutes
will
the
watch
lose
in
a
day?
A)
360
B)
24
C)
96
D)
6
22.
If
John
has
test
scores
of
90
and
76
with
one
test
remaining
to
be
taken,
what
score
must
he
make
on
the
last
test
to
end
up
with
an
86
average.
A)
96
B)
86
C)
92
D)
84
23.
Dr.
Peebles
wants
to
buy
tickets
for
the
Oceanography
Class
to
attend
a
Marine
Science
Center
fieldtrip.
If
the
tickets
cost
$32
each
and
the
department
has
$3408
budgeted
for
the
trip,
what
is
the
greatest
number
of
tickets
that
can
be
purchased?
A)
107
tickets
B)
106
tickets
C)
16
tickets
D)
10
tickets
24. Which of the following is NOT a true statement?
A)
.04
=
.02
B)
2
4
1
2
1
=
¸
C)
13
2
=169
D)
3.10
£
3.100
25.
A
bag
has
one
red
ball,
three
blue
balls,
and
twice
as
many
green
balls
as
blue
balls.
If
one
ball
is
drawn
(with
out
looking)
from
the
bag,
what
are
the
chances
that
the
ball
will
be
blue?
A)
3
in
10
B)
3
in
8
C)
1
in
3
D)
1
in
7
26. All of the following are true statements EXCEPT
A)
50
135
=
50
10
50
125
+
B)
50
135
=
2.3
5-
C)
50
135
=
50
150
-0.15
D)
50
135
=
2
·1.35
27.
Find
the
area
of
a
circle
that
has
a
radius
of
3.5
cm.
Use
3.14
for
the
value
of
p
.
A)
21.98
cm
2
B)
38.465
cm
2
C)
43.96
cm
2
D)
153.86
cm
2
28.
For
a
chemistry
experiment
4
3
of
an
ounce
of
a
certain
chemical
is
needed.
If
a
bottle
of
the
chemical
holds
96
ounces,
how
many
times
can
the
experiment
be
completed?
A)
128
B)
72
C)
24
D)
32
29.
Find
the
area
of
a
triangle
with
base
=
6
m
and
height
=
5
m.
A)
15
m
2
B)
26
m
2
C)
30
m
2
D)
105
m
2
30.
6
1 10
3
A)
20
1
B)
5
9
C)
9
5
D) 20
Solutions
to
Arithmetic
CPT
Practice
1.
B
needed
fencing
of
feet
78
48
30
=
+ =
2´24 2´15+ = perimeter
Each
section
of
fencing
is
3
feet
wide.
fencing
of
pieces
26
78
=
¸3
.
2.
C
$2750
=
$725+$984
$2491-
3.
D
$3300
$700
add
Now
$1600
$1599
$1000 $999
$700 $695
first. numbers round estimating When
= +$1600 +$1000 =
=
=
4. C 750seats = 25´30
5.
B
4
1
12
3
12
5
12
2
6
1
12
4
3
1
12
5
12
5
12
9
4
3
=
= = -
=
=
-
6.
C
20
13
4
20
13
4
20
8
5
2
3
20
5
4
1
1
=
= +
=
7.
A
$540
4
3
=
$720´
amount
paid.
$720
-
$540
=
$180.
8.
C
4200
=
42´100
42.081´99.91@
9.
C
5
3
3
5
3
5
3
2
5
6
5
5
1
6
-2 = -
=
10.
B
25
16
5
1
5
16
5
16
´
¸5
11.
B
First
line
up
the
numbers
according
to
their
size
inserting
zeros
to
the
left
of
the
decimal
point
to
help
with
comparison.
0.145
0.900
given
number
0.950
1.000
1.130
1.500
given
number
The
number
which
does
not
fit
in
the
range
is
0.145
12.
C
2
1
2
25
1
5
2
5
2
1
2
=12
´
´5
13.
C
60.5
7.0
11.4
5. by total the divide Next 9.6
18.3
14.2
+
=12.1 60.5¸5
14.
C
25
17
100
68
=
¸4
¸4
15.
D
Total
students
40
+
35
=
75
15
8
75
40
total
women
=
¸5
¸5
=
=
16.
C
?
10 by equation the of sides both Divide 150
multiply
cross
Now
25
?
10
6
=15
=10´?
=
17.
C
To
calculate
cost
per
ounce
you
divide
the
cost
of
each
product
by
the
price
of
each
product.
Remember
to
change
$
to
¢
for
equal
comparisons.
3.52083 48
3.40625
4.6875 75
4.583
= 169¸
= 109¸32
= ¸16
= 55¸12
The least expensive is the 32 ounce container at 3.40625¢ per ounce
18.
D
?
.17 by equation the of sides both Divide 1700
multiply
cross
Now
100
?
.17
17
=10000
.17´? =
=
19.
A
Since
Mary
gets
4
1
of
the
total
the
children
will
get
the
remaining
4
3
to
share.
Each
child
will
then
get
5
1
of
this
amount.
$1860
5
1
4
3
=
´
$12400´
20.
B
$800.36
52.36
$52.36
$748 $459
= $748+
= $748´.07
= +$289
21.
D
minutes
6
minute
a
in
seconds
360
day
in
hours
15seconds
=
¸60
=360 ´24
22.
C
92
258
258
86
3
? 90
= -166
+? =166
+? =166 86´3
= 76+ +
You
could
also
do
this
problem
by
trial
and
error.
23.
B
=106.5
$3408¸$32
Since
you
cannot
purchase
part
of
a
ticket
the
answer
is
106
tickets.
24.
A
For
this
problem
you
must
work
out
each
situation.
Remember
you
are
looking
for
the
statement
that
is
NOT
true.
.02since not .2 .04 =.04 .2´.2 = This would be the correct choice.
25. A First figure out the total number of balls in the bag.
total
green
blue
red
10
6
3
1
= 2´3
next set up a ratio of blue to total which is “3 in 10”
26.
C
50
150
-0.15
100
285
100
15
100
300
100
15
50
150
=
- =
- =
which
does
not
reduce
to
50
135
27.
B
Area
of
a
circle
formula
=
2
pr
p
given
as
3.14
r
is
the
radius
2
2
38.465cm = 3.14´3.5´3.5
3.14´3.5
28.
A
3
4
1
96
4
3
=128 ´
96¸
29.
A
Area
of
triangle
formula
=
Height
´
´Base
2
1
2
2
1
=15m
´6m´5m
30.
B
This
is
a
compound
fraction
which
really
means
6
1
10
3
¸
5
9
1
6
10
3
6
1
10
3
= ´
¸