Arithmetic Subtest
Question 1
Find: (- 1/3) ÷ (- 1/11)
a) -3/11
b) 3/11
c) -3 2/3
d) 3 2/3
Question 2
Find: (33)(92)
a) (3 x 9)6
b) (3 x 3 x 3) (9 x 9)
c) (3 +3 + 3) ( 9 + 9))
d) ( 3 x 3) ( 9 x 2)
Question 3
What is the place value associated with the underlined digit?
2.7842 (base ten)
a) 1/102
b) 1/10
c) 1/108
d) 1/100
Question 4
Twenty individuals work for a company. The lowest paid person earns $170 per
week and the highest paid person earns $280 per week. Which of the following
values could be a reasonable estimate of the total weekly payroll for the company?
a) $225
b) $4400
c) $9000
d) $2200
Question 5
Subtract: -17.83 - 10.283 =
a) 7.547
b) -28.113
c) -7.547
d) -27.366
Question 6
Multiply: -0.08 x ( -2.2 ) =
a) 0.176
b) 17.6
c) -0.176
d) -17.6
Question 7
Find an equivalent form of
a) 0.20
b) 0.20%
c) 0.020
d) 2.0%
Question 8
Insert =, <, or > to make a true statement:
a) <
b) =
c) >
d) None of these answers
Question 9
Look for a common linear relationship between the numbers in each
pair. Then identify the missing term.
(2, 1)
(0.4, 0.2)
(-4, -2)
(1/9, 1/18)
(14, 7)
(1/3, ___)
a) 3/2
b) 1/6
c) 2/3
d) 6
Question 10
If 20 is decreased to 8, what is the percent decrease?
a) 40%
b) 60%
c) 12%
d) 6%
Question 11
Find
of 90.
a) 0.44
b) 18.45
c) 184.5
d) 1.845
Question 12
With Matt's new car, he is using only 79% as much gasoline per month as with
his old car. He was using 135 gallons of gasoline per month with his old car.
How much gasoline per month does Matt save with his new car?
a) 53.3 gal
b) 10.7 gal
c) 28.4 gal
d) 106.7 gal
Question 13
A 10-ounce can of grape juice concentrate costs $0.80, and a 24-ounce can costs
$3.60. How much money can be saved by buying 200 ounces of the more economical
size?
a) $2.80
b) $14.00
c) $30.00
d) $16.00
Question 14
How many whole numbers leave a remainder of 1 when divided into 41 and a remainder
of 3 when divided into 23?
a) 5
b) 6
c) 4
d) 3
Subtest Score will appear when you check the test at the end:
Arithmetic Subtest Total:
Alegrbra Subtest:
Question 15
Simplify: 3
+ 14
- 2
=
a)15
b) 17
- 2
c)
+ 15
d) 17
2 - 2
Question 16
Divide:
=
a) ![](images2/16a.jpg)
b) ![](images2/16b.jpg)
c) ![](images2/16c.jpg)
d) ![](images2/16d.jpg)
Question 17
Find: 0.0000736 ÷ 1,840,000
a) 4.00 x 10-11
b) 4.00 x 10-1
c) 4.00 x 1011
d) 4.00 x 101
Question 18
Find: 5t + 5t X 3 + 10t2 ÷ 5 X 5
a) 10t2 + 30t
b) 2/5t2 + 30t
c) 2/5t2 + 20t
d) 10t2 + 20t
Question 19
Choose the statement that is not true for all real numbers.
a) (a + b) (a - b) = (a - b) (a + b)
b) 6(a) + 6(b) = 6(a + b)
c) 6xy(3x + y) = 6xy(3y + x)
d) (3a)b = 3(ab)
Question 20
Choose the inequality equivalent to -6 < -6x - 12 < 6.
a) x < -1
b) x > 3
c) -3 < x < -1
d) -1 < x < 3
Question 21
Solve for b: 18b - 9 < 19b + 5
a) b > 14
b) b > -14
c) b = -14
d) b < -14
Question 22
For each of the statements below, determine whether 2 is a solution.
(i) | x + 2 | = 0
(ii) (t - 8)(t - 3) < 2
(iii) y2 + 4y - 1 = 11
a) ii and iii only
b) i only
c) ii only
d) iii only
Question 23
The formula for finding the simple interest (I) on a loan is I = PRT. How much
interest will Bill pay on his car loan if he finances $15,000 (P) at a 14% simple
interest rate (R) for 3 years (T)?
a) $700
b) $630
c) $2100
d) $6300
Question 24
Find f(-3) given f(x) = 3x2 + x - 11.
a) -23
b) 25
c) 13
d) 24
Question 25
Which is a linear factor of x2 - 7x + 12 ?
a) x + 2
b) x - 5
c) x - 3
d) x + 5
Question 26
Find the real roots of the equation: 3x2 + 1 = 5x
a) ![](images2/26a.jpg)
b) ![](images2/26b.jpg)
c) ![](images2/26c.jpg)
d) ![](images2/26d.jpg)
Question 27
Solve the system:
4x + y = -3
4x + y = -2
a) The empty set
b) (-1, 1)
c) (1, 1)
d) {(x, y) | y = -4x - 3}
Question 28
Which option gives the condition(s) that corresponds to the shaded
region of the plane shown below?
![](images2/28.jpg)
a) x > 5, y < 5, and y < x
b) y = -x
c) y < x + 5
d) x > 5 and y < 5
Question 29
Two machines can complete 6 tasks every 5 days. Let t represent the
number of tasks these machines can complete in a 30-day month. Select the
correct statement of the given condition.
a) t/6 = 1/6
b) t/5 = 5/2
c) 6/5 = t/30
d) 5/6 = t/30
Question 30
The cost of a long-distance phone call from New York to London is defined by C(t)
= 0.55(t - 1) + 1.25, where the cost is $1.25 for the first minute and $0.55
for each additional minute. Find the cost of a 14-minute phone call.
a) $7.15
b) $8.95
c) $7.70
d) $8.40
Question 31
The difference between a number and two more than five times the number
is four. What equation could be used to find x, the number?
a) x - (5x + 2) = 4
b) x - (2x + 5) = 4
c) x + (5x -2) = 4
d) x - 5x + 2 = 4
Subtest Score will appear when you check the test at the end:
Algebra Subtest Total:
Geometry Subtest
Question 32
Find the surface area of a rectangular solid that is 15 inches long, 11 inches
wide, and 4 inches high.
a) 538 sq. in.
b) 438 sq. in.
c) 660 sq. in.
d) 538 in.
Question 33
What type of measure is needed to express the surface area of the solid rectangle
shown below?
![](images2/33.jpg)
a) cubic
b) equilateral
c) square
d) linear
Question 34
Find the cost of carpeting an office that measures 15 feet by 21 feet if the
carpet costs $14.50 per square yard.
a) $507.50
b) $4567.50
c) $1522.50
d) $761.25
Question 35
For each of the figures below, S represents the sum of the measures of the interior
angles. Study the given information, then find S for a eight-sided polygon.
![](images2/35a.jpg) |
![](images2/35b.jpg) |
![](images2/35c.jpg) |
3 sides |
4 sides |
6 sides |
1 triangle |
2 triangle |
4 triangles |
S = 180 |
S = 360 |
S = 720 |
a) 1080
b) 1260
c) 900
d) 1440
Question 36
Study the figure, then select the formula for computing the total area
of the figure.
![](images2/36.jpg)
a) A = LW +
W2
b) A = LW +
L2
c) A = 1/2
L2 + LW
d) A = 1/4
L2 + LW
Question 37
Identify the angle below.
![](images2/37.jpg)
a) acute
b) obtuse
c) straight
d) right
Question 38
Which statement is true for the figure shown, given that L1
and L2 are parallel lines?
![](images2/38.jpg)
a) Since m
T = 70º
m
S = 110º
b) None of the statements is true.
c) m
V = m
R
d) Since m
T = 70º
m
Q = 60º
Question 39
Which statement is true for the pictured triangles?
![](images2/39.jpg)
a) AC = 3.9
b) m
x = 40º
c) CE/CA = CB/CD
d) m
z
m
w
Subtest Score will appear when you check the test at the end:
Geometry Subtest Total:
Statistic and Probability Subtest
Question 40
A college president wants to find out which courses are popular with students.
The president decides to conduct a survey of a sample of students. What procedure
would be most appropriate for obtaining a statistically unbiased sample of the
college's students?
a) Survey a random sample of students from a list of the entire student body.
b) Have students voluntarily mail in their preferences.
c) Survey a random sample of students from the English department.
d) Survey the first hundred students from an alphabetical listing.
Question 41
The graph below represents the yearly rainfall in inches in Sagamore County
for 1982-1987. Find the rainfall for 1986.
![](images2/41.jpg)
a) 15 inches
b) 41 inches
c) 36 inches
d) 21 inches
Question 42
The graph below depicts the size (square feet) and sales price ($)
for homes sold in New York (x) and homes sold in California (o) as determined
by the 1990 Real Estate Association survey. Which of the following is true
based on the graph below?
![](images2/42.jpg)
a) Larger homes tend to cost more than smaller home; a stronger relationship
exists for homes in California than for homes in New York.
b) A relationship between price and size exists ONLY for homes in California.
c) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in New York than for homes in California.
d) A relationship between price and size exists ONLY for homes in New York.
Question 43
The number of patients treated at Dr. Jason's dentist office each day
was recorded for 9 days. Using the given data, find the mean, the median,
and the mode for this sample.
3, 17, 1, 16, 1, 1, 14, 1, 27
a) 9, 3, 1
b) 1, 3, 9
c) 9, 1, 3
d) 14, 1, 3
Question 44
The graph below represents the distribution of scores on a placement
test for students at Central High School. Select the statement that is true
about the distribution of scores.
![](images2/44.jpg)
a) The median and the mode are the same.
b) The mean is greater than the mode.
c) The median is less than the mode.
d) The mean and the mode are the same.
Question 45
A panel of judges is to consist of 4 women and 5 men. A list of potential judges
has 5 women and 8 men on it. How many different panels could be created from
this list?
a) 280
b) 56
c) 35
d) 5
Question 46
The table below shows the distribution of families by income in Tampa, Florida.
Income Level |
Percent of Families |
|
$ 0 - |
9, 999 |
3 |
10, 000 - |
14, 999 |
5 |
15, 000 - |
19, 999 |
24 |
20, 000 - |
24, 999 |
40 |
25, 000 - |
34, 999 |
11 |
35, 000 - |
49, 999 |
9 |
50, 000 - |
79, 999 |
4 |
80, 000 - |
119, 000 |
3 |
120, 000 and over |
1 |
Identify the amount below which 8 percent of the families in Tampa have
lower incomes.
a) $15,000
b) $35,000
c) $25,000
d) $20,000
Question 47
The probability of getting an A in Mr. Sandford's class in any semester is 15%.
What is the probability of NOT getting an A?
a) 75%
b) 60%
c) 85%
d) 70%
Question 48
The following is a distribution of the cause of fires nationally:
Cause |
Percent of all Fires |
|
Cooking |
34 |
Smoking |
17 |
Appliances |
16 |
Heating system |
6 |
Electrical system |
7 |
Other |
20 |
If it is known that a fire has NOT been caused by the heating or electrical
systems, find the probability that it was caused by appliances.
a) 34/87
b) 4/25
c) 17/50
d) 16/87
Subtest Score will appear when you check the test at the end:
Statistics/Probability Subtest Total:
Logic Subtest
Question 49
The negation of the statement "If Kim is offered a free trip, she will accept it" is:
a) Kim is offered a free trip and she does not accept it.
b) If Kim is not offered a free trip, she will not accept it.
c) Kim is offered a free trip and she accepts it.
d) If Kim is offered a free trip, she will not accept it.
Question 50
The statement logically equivalent to "It is not true that both Frank and
Daniel are students " is:
a) If Frank is not a student, Daniel is not a student.
b) Daniel is not a student and Frank is not a student.
c) If Daniel is not a student, Frank is not a student.
d) Frank is not a student or Daniel is not a student.
Question 51
Select the rule of logical equivalence that directly transforms (in
one step) statement "i" into statement "ii."
i. If x2 is odd, then x is odd.
ii. If x is not odd, then x2 is not odd.
a) "If p, then q" is equivalent to "(not p) or q."
b) The correct equivalence rule is not given.
c) "If p, then q" is equivalent to "if not q, then not p."
d) "Not (p and q)" is equivalent to "not p or not q."
Question 52
Sets A, B, C, and U are related as shown in the diagram below.
![](images2/52.jpg)
What statement can be made regarding the relationship among the sets, assuming
none of the regions is empty?
a) No element is a member of all three sets A, B, and C.
b) Any element that is a member of set C is also a member of set A.
c) No element which is a member of set A is also a member of set C.
d) All elements which are members of set B are also in set C.
Question 53
Given that:
i. No people who make assignments are friendly..
ii. All instructors make assignments.
Determine which conclusion can be logically deduced.
a) None of these answers.
b) Some instructors are friendly.
c) All instructors are friendly.
d) No instructor is friendly.
Question 54
Select the conclusion which will make the following argument valid.
If you work hard, then you will get a good job.
If you get a good job, then
you will be happy.
a) If you are happy, then you worked hard.
b) If you work hard, then you will be happy.
c) If you are not happy, then you did not get a good job.
d) If you do not work hard, then you will not be happy.
Question 55
All of the following arguments A-D have true conclusions, but one of the arguments
is not valid. Select the argument that is not valid.
a) Every borough of New York City is in New York State.
The Bronx is a borough of New York City.
Therefore, the Bronx is in New York State.
b) All fleas have six legs and insects have six legs.
Therefore, all fleas are insects.
c) All birds have feathers and all penguins are birds.
Therefore, all penguins have feathers.
d) All birds have legs and all penguins are birds.
Therefore, all penguins have legs.
Question 56
Study the information given below. If a logical conclusion is given,
select that conclusion.
All pilots are navigators. All navigators read maps.
Chris is reading a map. Therefore:
a) None of these answers
b) Chris is a pilot
c) Chris can navigate
d) Chris cannot navigate
Subtest Score will appear when you check the test below:
Logic Subtest Total:
CLAST Math Total: