Arithmetic Subtest
Question 1
Find: ( 11/18) ÷ ( 1/6)
a) 3 2/3
b) 3/11
c) 3/11
d) 3 2/3
Question 2
Find: (9^{3})(6^{5})
a) (9 x 9 x 9)(6 x 6 x 6 x 6 x 6)
b) (9 x 6)^{15}
c) (9 +9 + 9) ( 6 + 6 + 6 + 6 + 6)
d) ( 9 x 3) ( 6 x 5)
Question 3
What is the place value associated with the underlined digit?
6.2546 (base ten)
a) 1/10^{0}
b) 1/10^{6}
c) 1/10^{3}
d) 1/10^{4}
Question 4
Fifty individuals work for a company. The lowest paid person earns $110 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) $4750
b) $9500
c) $195
d) $19,500
Question 5
Subtract: 12.43  1.022 =
a) 11.408
b) 11.408
c) 13.452
d) 13.065
Question 6
Multiply: 0.04 x (2.9) =
a) 11.6
b) 0.116
c) 11.6
d) 0.116
Question 7
Find an equivalent form of
a) 0.035
b) 3.5%
c) 0.35%
d) 0.35
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.
(4, 1)
(1.2, 0.3)
(20, 5)
(1/8, 1/32)
(28, 7)
(1/5, ___)
a) 20
b) 1/20
c) 5/2
d) 2/5
Question 10
If 65 is decreased to 39, what is the percent decrease?
a) 60%
b) 26%
c) 4%
d) 40%
Question 11
Find
of 10.
a) 0.02
b) 4.05
c) 0.405
d) 40.5
Question 12
With Matt's new car, he is using only 68% as much gasoline per month as with
his old car. He was using 92 gallons of gasoline per month with his old car.
How much gasoline per month does Matt save with his new car?
a) 6.3 gal
b) 29.4 gal
c) 62.6 gal
d) 31.3 gal
Question 13
A 6ounce can of apple juice concentrate costs $0.60, and a 24ounce can costs
$2.88. How much money can be saved by buying 200 ounces of the more economical
size?
a) $4.00
b) $20.00
c) $2.28
d) $24.00
Question 14
How many whole numbers leave a remainder of 5 when divided into 29 and a remainder
of 5 when divided into 13?
a) 1
b) 0
c) 2
d) 3
Subtest Score will appear when you check the test at the end:
Arithmetic Subtest Total:
Algebra Subtest:
Question 15
Simplify: 7
+ 2  3
=
a) 4 + 6
b) 9  3
c) 9^{2}  3
d) 6
Question 16
Divide:
=
a)
b)
c)
d)
Question 17
Find: 0.000723 ÷ 241,000
a) 3.00 x 10^{1}
b) 3.00 x 10^{9}
c) 3.00 x 10^{9}
d) 3.00 x 10^{1}
Question 18
Find: 8t  t X 3 + 15t^{2} ÷ 5 X 3
a) 9t^{2} + 21t
b) t^{2} + 21t
c) t^{2 } + 5t
d) 9t^{2 }+ 5t
Question 19
Choose the statement that is not true for all real numbers.
a) (a  b) (a + b) = (a + b) (a  b)
b) (3a)b = 3(ab)
c) 2(a) + 2(b) = 2(a + b)
d) 2xy(3x + y) = 2xy(3y + x)
Question 20
Choose the inequality equivalent to 5 < 5x  10 < 5.
a) 1 < x < 3
b) x > 3
c) 3 < x < 1
d) x < 1
Question 21
Solve for b: 14b  5 < 15b + 17
a) b < 22
b) b = 22
c) b > 22
d) b > 22
Question 22
For each of the statements below, determine whether 1 is a solution.
(i)  x  1  = 0
(ii) (t  3)(t  6) < 6
(iii) y^{2} + 3y + 16 = 14
a) ii and iii only
b) iii only
c) ii only
d) i 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 $6,000 (P) at a 11% simple
interest rate (R) for 5 years (T)?
a) $330
b) $3300
c) $132
d) $660
Question 24
Find f(2) given f(x) = x^{2} + 2x  27.
a) 8
b) 29
c) 23
d) 35
Question 25
Which is a linear factor of 3x^{2}  14x + 8 ?
a) 3x + 1
b) 3x  2
c) x + 5
d) x  5
Question 26
Find the real roots of the equation: 2x^{2}  1 = 6x
a)
b)
c)
d)
Question 27
Solve the system:
x  y = 1
2x  2y = 8
a) The empty set
b) {(x, y)  y = x + 1}
c) (1, 2)
d) (1, 2)
Question 28
Which option gives the condition(s) that corresponds to the shaded
region of the plane shown below?
a) y < x + 3
b) x > 3, y < 3, and y < x
c) x > 3 and y < 3
d) y = x
Question 29
Two machines can complete 8 tasks every 3 days. Let t represent the
number of tasks these machines can complete in a 30day month. Select the
correct statement of the given condition.
a) t/8 = 1/10
b) t/3 = 15/8
c) 3/8 = t/30
d) 8/3 = t/30
Question 30
The cost of a longdistance phone call from New York to Paris is defined by C(t)
= 0.65(t  1) + 1.20, where the cost is $1.20 for the first minute and $0.65
for each additional minute. Find the cost of a 19minute phone call.
a) $11.70
b) $12.90
c) $13.55
d) $12.35
Question 31
The difference between a number and six more than five times the number
is four. What equation could be used to find x, the number?
a) x + (5x  6) = 4
b) x  (5x + 6) = 4
c) x  5x + 6 = 4
d) x  (6x + 5) = 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 17 inches long, 12 inches
wide, and 8 inches high.
a) 772 sq. in.
b) 1632 sq. in.
c) 872 sq. in.
d) 872 in.
Question 33
What type of measure is needed to express the line segment of the solid rectangle
shown below?
a) linear
b) square
c) cubic
d) equilateral
Question 34
Find the cost of carpeting an office that measures 18 feet by 24 feet if the
carpet costs $16.00 per square yard.
a) $6912.00
b) $768.00
c) $1152.00
d) $2304.00
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 tensided polygon.



3 sides 
4 sides 
6 sides 
1 triangle 
2 triangle 
4 triangles 
S = 180 
S = 360 
S = 720 
a) 1260
b) 1620
c) 1800
d) 1440
Question 36
Study the figure, then select the formula for computing the total area
of the figure.
a) A = LW +L^{2}
b) A = 1/2L^{2} +
LW
c) A = 1/4L^{2} + LW
d) A = LW + W^{2}
Question 37
Identify the angle below.
a) obtuse
b) right
c) acute
d) straight
Question 38
Which statement is true for the figure shown, given that L_{1 }
and L_{2} are parallel lines?
a) Since mT = 75º
mQ = 65º
b) Since mT = 75º
mS = 115º
c) None of the statements is true.
d) mV = mR
Question 39
Which statement is true for the pictured triangles?
a) AC = 5.7
b) mz mw
c) mx = 25º
d) CE/CA = CB/CD
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) Have students voluntarily mail in their preferences.
b) Survey a random sample of students from the English department.
c) Survey the first hundred students from an alphabetical listing.
d) Survey a random sample of students from a list of the entire student body.
Question 41
The graph below represents the yearly rainfall in inches in Sagamore County
for 19831988. Find the rainfall for 1987.
a) 40 inches
b) 21 inches
c) 15 inches
d) 32 inches
Question 42
The graph below depicts the size (square feet) and sales price ($)
for homes sold in New Jersey(o) and homes sold in Arizona (x) as determined
by the 1990 Real Estate Association survey. Which of the following is true
based on the graph below?
a) A relationship between price and size exists ONLY for homes in Arizona.
b) Larger homes tend to cost more than smaller home; a stronger relationship
exists for homes in New Jersey than for homes in Arizona.
c) A relationship between price and size exists ONLY for homes in New Jersey.
d) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in Arizona than for homes in New Jersey.
Question 43
The number of patients treated at Dr. Jason's dentist office each day
was recorded for 8 days. Using the given data, find the mean, the median,
and the mode for this sample.
2, 26, 28, 28, 28, 27, 7, 28
a) 21.75, 28, 27.5
b) 28, 27.5, 21.75
c) 21.75, 27.5, 28
d) 15, 28, 27.5
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.
a) The mean and the mode are the same.
b) The median and the mode are the same.
c) The median is greater than the mode.
d) The mean is less than the mode.
Question 45
A panel of judges is to consist of 2 women and 5 men. A list of potential judges
has 3 women and 7 men on it. How many different panels could be created from
this list?
a) 9
b) 3
c) 21
d) 63
Question 46
The table below shows the distribution of families by income in Chicago, Illinois.
Income Level 
Percent of Families 

$ 0  
9, 999 
3 
10, 000  
14, 999 
9 
15, 000  
19, 999 
22 
20, 000  
24, 999 
40 
25, 000  
34, 999 
11 
35, 000  
49, 999 
7 
50, 000  
79, 999 
4 
80, 000  
119, 000 
3 
120, 000 and over 
1 
Identify the amount below which 74 percent of the families in Chicago have
lower incomes.
a) $20,000
b) $35,000
c) $15,000
d) $25,000
Question 47
The probability of getting an A in Mr. Allen's class in any semester is 23%.
What is the probability of NOT getting an A?
a) 54%
b) 92%
c) 67%
d) 77%
Question 48
The following is a distribution of the cause of fires nationally:
Cause 
Percent of all Fires 

Cooking 
30 
Smoking 
16 
Appliances 
18 
Heating system 
8 
Electrical system 
10 
Other 
18 
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 cooking.
a) 3/10
b) 15/41
c) 9/50
d) 9/41
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 Rita receives the nomination for student
cabinet, she will accept it" is:
a) Rita receives the nomination for student cabinet and she accepts it.
b) Rita receives the nomination for student cabinet and she does not accept
it.
c) If Rita does not receive the nomination, she will not accept it.
d) If Rita receives the nomination for student cabinet, she will not accept
it.
Question 50
The statement logically equivalent to "It is not true that both Micheal and
James are students " is:
a) If Micheal is not a student, James is not a student.
b) James is not a student and Michael is not a student.
c) If James is not a student, Michael is not a student.
d) Michael is not a student or James 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 x^{2 } is even, then x is even.
ii. If x is not even, then x^{2 } is not even.
a) "If p, then q" is equivalent to "(not p) or q."
b) The correct equivalence rule is not given.
c) "Not (p and q)" is equivalent to "not p or not q."
d) "If p, then q" is equivalent to "if not q, then not p."
Question 52
Sets A, B, C, and U are related as shown in the diagram below.
What statement can be made regarding the relationship among the sets, assuming
none of the regions is empty?
a) If an element is a member of set C, it may also be in set A or set B.
b) Any element that is a member of set A is also a member of set U.
c) If an element is a member of set B, it is also a member of set A.
d) If an element is a member of set A, it cannot be a member of set B.
Question 53
Given that:
i. No people who assign work are lovable.
ii. All supervisors assign work.
Determine which conclusion can be logically deduced.
a) No supervisor is lovable.
b) None of these answers.
c) Some supervisors are lovable.
d) All supervisors are lovable.
Question 54
Select the conclusion which will make the following argument valid.
If you study, then you will get a good job.
If you get a good job, then
you will be happy.
a) If you do not study, then you will not be happy.
b) If you study, then you will be happy.
c) If you are happy, then you studied.
d) If you are not happy, then you did not get a good job.
Question 55
All of the following arguments AD have true conclusions, but one of the arguments
is not valid. Select the argument that is not valid.
a) All cats are beautiful and all Siamese are cats.
Therefore, all Siamese are beautiful.
b) All boys are noisy and children are noisy.
Therefore, all boys are children.
c) Every dog is an animal.
The beagle is a dog.
Therefore, the beagle is an animal.
d) All cats have a tail and all Siamese are cats.
Therefore, all Siamese have a tail.
Question 56
Study the information given below. If a logical conclusion is given,
select that conclusion.
All parents are good cooks.All good cooks read cookbooks.
Pat is reading a cookbook. Therefore:
a) Pat cannot cook
b) Pat is a parent
c) Pat can cook
d) None of these answers
Subtest Score will appear when you check the test below:
Logic Subtest Total:
CLAST Math Total: