Question 01
Study the information given below. If a logical conclusion is given,
select that conclusion.
All sailors are swimmers. All swimmers wear life jackets.
Sally is wearing a life jacket. Therefore:
a) None of these answers
b) Sally can sail
c) Sally is a sailor
d) Sally cannot sail
Question 02
The difference between a number and eight more than six times the number
is five. What equation could be used to find x, the number?
a) x + (6x  8) = 5
b) x  (8x + 6) = 5
c) x  (6x +8) = 5
d) x  6x + 8 = 5
Question 03
Find: ( 11/30) ÷ ( 1/2)
a) 1 4/11
b)  11/15
c) 1 4/11
d) 11/15
Question 04
Find the surface area of a rectangular solid that is 18 inches long, 11 inches
wide, and 6 inches high.
a) 744 in.
b) 644 sq. in.
c) 1188 sq. in.
d) 744 sq. in.
Question 05
Which option gives the condition(s) that corresponds to the shaded
region of the plane shown below?
a) y = x
b) x > 7 and y < 7
c) x > 7, y < 7, and y < x
d) y > x 7
Question 06
The graph below depicts the size (square feet) and sales price ($)
for homes sold in Connecticut (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?
a) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in California than for homes in Connecticut.
b) Larger homes tend to cost more than smaller home; a stronger relationship
exists for homes in Connecticut than for homes in California.
c) A relationship between price and size exists ONLY for homes in Connecticut.
d) A relationship between price and size exists ONLY for homes in California.
Question 07
Find: (9^{2})(7^{4})
a) (9 + 9)(7 + 7 + 7 + 7)
b) (9 x 2)(7 x 4)
c) (9 x 9)(7 x 7 x 7 x 7)
d) ( 9 x 7)^{8}
Question 08
Simplify: 6
+ 10  4
=
a) 12
b) 2 +
12
c) 16 
4
d) 16^{2}
 4
Question 09
What is the place value associated with the underlined digit?
9.8492 (base ten)
a) 1/10^{2}
b) 1/10^{4}
c) 1/10
d) 1/10^{0}
Question 10
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 have a tail and all Siamese are cats.
Therefore, all Siamese have
a tail.
b) All boys are noisy and children are noisy.
Therefore, all boys are children.
c) All cats are beautiful and all Siamese are cats.
Therefore, all Siamese are
beautiful.
d) Every dog is an animal.
The beagle is a dog.
Therefore, the beagle is an
animal.
Question 11
The cost of a longdistance phone call from New York to Rome is defined by C(t)
= 0.60(t  1) + 1.20, where the cost is $1.20 for the first minute and $0.60
for each additional minute. Find the cost of a 24minute phone call.
a) $13.80
b) $14.40
c) $15.00
d) $15.60
Question 12
Study the figure, then select the formula for computing the total area
of the figure.
a) A = LW +W^{2}
b) A = 1/4L^{2} +
LW
c) A = LW + L^{2}
d) A = 1/8L^{2} +
LW
Question 13
Sixty individuals work for a company. The lowest paid person earns $150 per
week and the highest paid person earns $260 per week. Which of the following
values could be a reasonable estimate of the total weekly payroll for the company?
a) $205
b) $6000
c) $12,000
d) $24,600
Question 14
The following is a distribution of the cause of fires nationally:
Cause 
Percent of all Fires 

Cooking 
31 
Smoking 
18 
Appliances 
15 
Heating system 
10 
Electrical system 
6 
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) 3/20
b) 31/84
c) 31/100
d) 5/28
Question 15
Subtract: 13.65  10.223 =
a) 3.427
b) 23.288
c) 3.427
d) 23.873
Question 16
Find: 0.00756 ÷ 189,000
a) 4.00 x 10^{2}
b) 4.00 x 10^{8}
c) 4.00 x 10^{8}
d) 4.00 x 10^{2}
Question 17
Select the conclusion which will make the following argument valid.
If you graduate, then you will get a good job. If you get a good job, then
you will be happy.
a) If you are not happy, then you did not get a good job.
b) If you are happy, then you graduated.
c) If you graduate, then you will be happy.
d) If you do not graduate, then you will not be happy.
Question 18
Find an equivalent form of 4/5.
a) 0.80
b) 8.0%
c) 0.80%
d) 0.080
Question 19
Choose the inequality equivalent to 5 < 5x  10 < 5.
a) x > 3
b) x < 1
c) 3 < x < 1
d) 1 < x < 3
Question 20
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 an eightsided polygon.



3 sides 
4 sides 
6 sides 
1 triangle 
2 triangle 
4 triangles 
S = 180 
S = 360 
S = 720 
a) 1080
b) 1440
c) 1260
d) 900
Question 21
The table below shows the distribution of families by income in Portland,
Oregon.
Income Level 
Percent of Families 

$ 0  
9, 999 
3 
10, 000  
14, 999 
5 
15, 000  
19, 999 
22 
20, 000  
24, 999 
42 
25, 000  
34, 999 
11 
35, 000  
49, 999 
8 
50, 000  
79, 999 
5 
80, 000  
119, 000 
3 
120, 000 and over 
1 
Identify the amount below which 8 percent of the families in Portland have
lower incomes.
a) $25,000
b) $35,000
c) $15,000
d) $20,000
Question22
Insert =, <, or > to make a true statement:
a) >
b) =
c) None of these answers
d) <
Question 23
Given that:
i. No people who teach classes are dumb.
ii. All teachers teach classes.
Determine which conclusion can be logically deduced.
a) No teacher is dumb.
b) All teachers are dumb.
c) Some teachers are dumb.
d) None of these answers
Question 24
Which is a linear factor of 2x^{2}  9x  5?
a) 2x + 1
b) 2x  2
c) x  6
d) x + 6
Question 25
Which statement is true for the figure shown, given that L_{1 }
and L_{2} are parallel lines?
a) mV = mR
b) Since mT = 75º
mQ
= 65º
c) None of the statements is true.
d) Since mT = 75º
mS
= 115º
Question 26
Look for a common linear relationship between the numbers in each
pair. Then identify the missing term.
(9, 3)
(0.6, 0.2)
(6, 2)
(1/3, 1/9)
(18, 6)
(1/5, ___)
a) 2/5
b) 1/15
c) 5/2
d) 15
Question 27
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 the English department.
b) Survey a random sample of students from a list of the entire student body.
c) Survey the first hundred students from an alphabetical listing.
d) Have students voluntarily mail in their preferences.
Question 28
Two machines can complete 10 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/10 = 1/10
b) 3/10 = t/30
c) t/3 = 3/2
d) 10/3 = t/30
Question 29
If 80 is decreased to 32, what is the percent decrease?
a) 40%
b) 48%
c) 6%
d) 60%
Question 30
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) No element which is a member of set A is also a member of set C.
b) Any element that is a member of set C is also a member of set A.
c) All elements which are members of set B are also in set C.
d) No element is a member of all three sets A, B, and C.
Question 31
Find the real roots of the equation: 2x^{2} + 1 = 5x
a)
b)
c)
d)
Question 32
What type of measure is needed to express the volume of the solid rectangle
shown below?
a) linear
b) square
c) equilateral
d) cubic
Question 33
Find
of 90.
a) 36.45
b) 3.645
c) 364.5
d) 0.22
Question 34
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, 9, 14, 20, 20, 12, 20, 9
a) 20, 13, 13.25
b) 11, 20, 13
c) 13.25, 20, 13
d) 13.25, 13, 20
Question 35
The statement logically equivalent to "It is not true that both Frank and
James are rich" is:
a) If Frank is not rich, James is not rich.
b) James is not rich and Frank is not rich.
c) If James is not rich, Frank is not rich.
d) Frank is not rich or James is not rich.
Question 36
Divide:
=
a)
b)
c)
d)
Question 37
With Tony's new car, he is using only 77% as much gasoline per month as with
his old car. He was using 75 gallons of gasoline per month with his old car.
How much gasoline per month does Tony save with his new car?
a) 17.3 gal
b) 5.8 gal
c) 28.9 gal
d) 57.8 gal
Question 38
Which statement is true for the pictured triangles?
a) CE/CA = CB/CD
b) AC = 5.1
c) mx = 30º
d) mz
mw
Question 39
Find: 7t  5t X 2 + 18t^{2} ÷ 6 X 4
a) 12t^{2} + 4t
b) 3/4 t^{2} + 4t
c) 3/4 t^{2 }  3t
d) 12t^{2 } 3t
Question 40
The graph below represents the yearly rainfall in inches in Sagamore County
for 19851990. Find the rainfall for 1988.
a) 24 inches
b) 18 inches
c) 43 inches
d) 29 inches
Question 41
Solve the system:
2x + y = 4
4x  2y = 4
a) (1, 2)
b) {(x, y) y = 2x  4}
c) (1, 2)
d) The empty set
Question 42
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 "if not q, then not p."
b) "Not (p and q)" is equivalent to "not p or not q."
c) "If p, then q" is equivalent to "(not p) or q."
d) The correct equivalence rule is not given.
Question 43
Identify the angle below.
a) obtuse
b) acute
c) right
d) straight
Question 44
How many whole numbers leave a remainder of 1 when divided into 41 and a remainder
of 3 when divided into 23?
a) 4
b) 5
c) 6
d) 3
Question 45
Choose the statement that is not true for all real numbers.
a) (x  y)(x + y) = (x + y) (x  y)
b) 5xy(3x + y) = 5xy(3y + x)
c) (3a)b = 3(ab)
d) 5(a) + 5(b) = 5(a + b)
Question 46
The probability of getting an A in Mrs. Ritchie's class in any semester is 21%.
What is the probability of NOT getting an A?
a) 84%
b) 58%
c) 79%
d) 69%
Question 47
Solve for b: 18b  7 < 19b + 6
a) b < 13
b) b > 13
c) b > 13
d) b = 13
Question 48
Find the cost of carpeting an office that measures 12 feet by 21 feet if the
carpet costs $14.50 per square yard.
a) $406.00
b) $3654.00
c) $1218.00
d) $609.00
Question 49
For each of the statements below, determine whether 2 is a solution.
(i) x + 2 = 0
(ii) (t  8)(t  3) < 2
(iii) y^{2} + 3y + 3 = 13
a) ii and iii only
b) i only
c) iii only
d) ii only
Question 50
A panel of judges is to consist of 2 women and 3 men. A list of potential judges
has 4 women and 6 men on it. How many different panels could be created from
this list?
a) 20
b) 30
c) 6
d) 120
Question 51
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 $20,000 (P) at a 14% simple
interest rate (R) for 6 years (T)?
a) $2800
b) $16,800
c) $1680
d) $467
Question 52
The negation of the statement "If Kari receives the nomination for student
cabinet, she will accept it" is:
a) If Kari does not receive the nomination, she will not accept it.
b) Kari receives the nomination for student cabinet and she does not accept
it.
c) If Kari receives the nomination for student cabinet, she will not accept
it.
d) Kari receives the nomination for student cabinet and she accepts it.
Question 53
Find f(1) given f(x) = 2x^{2} + 2x + 8.
a) 12
b) 8
c) 0
d) 4
Question 54
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 is greater than the mode.
b) The median and the mode are the same.
c) The median is less than the mode.
d) The mean and the mode are the same.
Question 55
A 10ounce can of apple juice concentrate costs $0.80, and a 20ounce can costs
$2.00. How much money can be saved by buying 260 ounces of the more economical
size?
a) $20.80
b) $26.00
c) $1.20
d) $5.20
Question 56
If 3x + 1 = 2(3x  1), then
a) x = 1/3
b) x = 2/3
c) x = 1
d) x = 3/2