Arithmetic Subtest
Question 1
Find: ( 29/32) ÷ ( 1/2)
a) 16/29
b) 16/29
c) 1 13/16
d) 1 13/16
Question 2
Find: (4^{4})(5^{2})
a) (4 x 4) (5 x 2)
b) (4 x 4 x 4 x 4) (5 x 5)
c) (4 + 4 + 4 + 4) (5 + 5)
d) (4 x 5)^{8}
Question 3
What is the place value associated with the underlined digit?
1.3526 (base ten)
a) 1/10^{3}
b) 1/10^{6}
c) 1/10^{4}
d) 1/10^{0}
Question 4
Forty 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) $16,400
b) $205
c) $4000
d) $8000
Question 5
Subtract: 4.40  8.605 =
a) 4.205
b) 13.005
c) 12.645
d) 4.205
Question 6
Multiply: 0.02 x (3.0) =
a) 6.0
b) 6.0
c) 0.060
d) 0.060
Question 7
Find an equivalent form of
a) 0.50%
b) 0.50
c) 0.050
d) 5.0%
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.
(8, 2)
(0.4, 0.1)
(16, 4)
(1/8, 1/32)
(28, 7)
(1/4, ___)
a) 1/2
b) 2
c) 1/16
d) 16
Question 10
If 85 is decreased to 51, what is the percent decrease?
a) 60%
b) 34%
c) 40%
d) 4%
Question 11
Find
of 70.
a) 5.635
b) 56.35
c) 563.5
d) 0.09
Question 12
With James' new car, he is using only 69% as much gasoline per month as with
his old car. He was using 76 gallons of gasoline per month with his old car.
How much gasoline per month does James save with his new car?
a) 52.4 gal
b) 26.2 gal
c) 23.6 gal
d) 5.2 gal
Question 13
A 6ounce can of apple juice concentrate costs $0.60, and a 30ounce can costs
$3.60. How much money can be saved by buying 220 ounces of the more economical
size?
a) $3.00
b) $4.40
c) $26.40
d) $22.00
Question 14
How many whole numbers leave a remainder of 2 when divided into 34 and a remainder
of 3 when divided into 19?
a) 3
b) 4
c) 5
d) 2
Subtest Score will appear when you check the test at the end:
Arithmetic Subtest Total:
Alegrbra Subtest:
Question 15
Simplify: 13
+ 13  7
=
a) 19
b) 6 + 19
c) 26^{2}  7
d) 26  7
Question 16
Divide:
=
a)
b)
c)
d)
Question 17
Find: 0.00732 ÷ 1,830,000
a) 4.00 x 10^{9}
b) 4.00 x 10^{3}
c) 4.00 x 10^{3}
d) 4.00 x 10^{9}
Question 18
Find: 7t + t X 4 + 20t^{2} ÷ 5 X 3
a) 4/3t^{2} + 32t
b) 4/3t^{2} + 11t
c) 12t^{2 } + 11t
d) 12t^{2 }+ 32t
Question 19
Choose the statement that is not true for all real numbers.
a) (x  y) (x + y) = (x + y) (x  y)
b) 3(a) + 3(b) = 3(a + b)
c) 3xy(7x + y) = 3xy(7y + x)
d) (7a)b = 7(ab)
Question 20
Choose the inequality equivalent to 7 < 7x  21 < 7.
a) 4 < x < 2
b) x < 2
c) x > 4
d) 2 < x < 4
Question 21
Solve for b: 12b  9 < 13b + 3
a) b > 12
b) b > 12
c) b = 12
d) b < 12
Question 22
For each of the statements below, determine whether 1 is a solution.
(i)  x + 1  = 0
(ii) (t + 2)(t  4) < 4
(iii) y^{2} + 4y + 13 = 18
a) i only
b) iii only
c) ii and iii only
d) ii 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 $7,000 (P) at a 10% simple
interest rate (R) for 5 years (T)?
a) $140
b) $700
c) $3500
d) $350
Question 24
Find f(1) given f(x) = x^{2} + x  3.
a) 3
b) 5
c) 1
d) 0
Question 25
Which is a linear factor of 2x^{2} + 7x  4 ?
a) 2x  1
b) x + 3
c) 2x
d) x  3
Question 26
Find the real roots of the equation: 3x^{2} + 1 = 7x
a)
b)
c)
d)
Question 27
Solve the system:
x  y = 1
2x + 2y = 1
a) The empty set
b) (3, 2)
c){(x, y)  y = x + 1}
d) (3, 2)
Question 28
Which option gives the condition(s) that corresponds to the shaded
region of the plane shown below?
a) y = x
b) y < x + 2
c) x > 2, y < 2, and y < x
d) x > 2 and y < 2
Question 29
Two machines can complete 9 tasks every 4 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/4 = 5/3
b) t/9 = 2/15
c) 4/9 = t/30
d) 9/4 = t/30
Question 30
The cost of a longdistance phone call from New York to London is defined by C(t)
= 0.80(t  1) + 1.40, where the cost is $1.40 for the first minute and $0.80
for each additional minute. Find the cost of a 17minute phone call.
a) $13.60
b) $15.00
c) $12.80
d) $14.20
Question 31
The difference between a number and three more than five times the number
is six. What equation could be used to find x, the number?
a) x + (5x  3) = 6
b) x  5x + 3 = 6
c) x  (5x + 3) = 6
d) x  (3x + 5) = 6
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 19 inches long, 17 inches
wide, and 13 inches high.
a) 4199 sq. in.
b) 4182 sq. in.
c) 1582 sq. in.
d) 1582 in.
Question 33
What type of measure is needed to express the volume of the solid rectangle
shown below?
a) equilateral
b) linear
c) cubic
d) square
Question 34
Find the cost of carpeting an office that measures 12 feet by 18 feet if the
carpet costs $16.50 per square yard.
a) $1188.00
b) $396.00
c) $594.00
d) $3564.00
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 fourteensided polygon.



3 sides 
4 sides 
6 sides 
1 triangle 
2 triangle 
4 triangles 
S = 180 
S = 360 
S = 720 
a) 2340
b) 2160
c) 1980
d) 2520
Question 36
Study the figure, then select the formula for computing the total area
of the figure.
a) A = LW +L^{2}
b) A = 1/4L^{2} +
LW
c) A = LW + W^{2}
d) A = 1/2L^{2} + LW
Question 37
Identify the angle below.
a) right
b) obtuse
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 = 50º
mQ = 85º
b) mV = mR
c) Since mT = 50º
mS = 115º
d) None of the statements is true.
Question 39
Which statement is true for the pictured triangles?
a) mx = 25º
b) AC = 8.3
c) mz mw
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) Survey a random sample of students from the English department.
b) Have students voluntarily mail in their preferences.
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 19821987. Find the rainfall for 1983.
a) 24 inches
b) 41 inches
c) 17 inches
d) 28 inches
Question 42
The graph below depicts the size (square feet) and sales price ($)
for homes sold in Connecticut (x) and homes sold in Arizona (o) 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 Connecticut.
b) A relationship between price and size exists ONLY for homes in Arizona.
c) Larger homes tend to cost more than smaller home; a stronger relationship
exists for homes in Arizona than for homes in Connecticut.
d) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in Connecticut than for homes in Arizona.
Question 43
The number of patients treated at Dr. Jason's dentist office each day
was recorded for 10 days. Using the given data, find the mean, the median,
and the mode for this sample.
1, 20, 5, 15, 20, 20, 17, 20, 20, 16
a) 15.4, 18.5, 20
b) 15.4, 20, 18.5
c) 10.5, 20, 18.5
d) 20, 18.5, 15.4
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 median is less than the mode.
b) The mean is greater than the mode.
c) The mean and the mode are the same.
d) The median and the mode are the same.
Question 45
A panel of judges is to consist of 2 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) 560
b) 10
c) 112
d) 70
Question 46
The table below shows the distribution of families by income in Racine, Wisconsin.
Income Level 
Percent of Families 

$ 0  
9, 999 
3 
10, 000  
14, 999 
4 
15, 000  
19, 999 
21 
20, 000  
24, 999 
43 
25, 000  
34, 999 
11 
35, 000  
49, 999 
9 
50, 000  
79, 999 
5 
80, 000  
119, 000 
3 
120, 000 and over 
1 
Identify the amount below which 28 percent of the families in Racine have
lower incomes.
a) $35,000
b) $25,000
c) $20,000
d) $15,000
Question 47
The probability of getting an A in Mrs. Ritchie's class in any semester is 24%.
What is the probability of NOT getting an A?
a) 76%
b) 52%
c) 66%
d) 96%
Question 48
The following is a distribution of the cause of fires nationally:
Cause 
Percent of all Fires 

Cooking 
30 
Smoking 
17 
Appliances 
18 
Heating system 
7 
Electrical system 
6 
Other 
22 
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) 6/29
c) 9/50
d) 10/29
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 Janet receives an invitation, she will accept it" is:
a) Janet receives an invitation and she does not accept it.
b) If Janet does not receive an invitation, she will not accept it.
c) If Janet receives an invitation, she will not accept it.
d) Janet receives an invitation and she accepts it.
Question 50
The statement logically equivalent to "It is not true that both George and Andrew are rich " is:
a) George is not rich or Andrew is not rich.
b) If George is not rich, Andrew is not rich.
c) If Andrew is not rich, George is not rich.
d) Andrew is not rich and George is not rich.
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) "Not (p and q)" is equivalent to "not p or not q."
b) The correct equivalence rule is not given.
c) "If p, then q" is equivalent to "if not q, then not p."
d) "If p, then q" is equivalent to "(not p) or q."
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) Any element which is a member of set A and set B cannot be in set C.
b) No element which is a member of set C is also a member of set A.
c) All elements which are members of set A are also members of set B.
d) Any element which is a member of set U is also a member of set C.
Question 53
Given that:
i. No people who run for office are reliable.
ii. All politicians run for office.
Determine which conclusion can be logically deduced.
a) All politicians are reliable.
b) Some politicians are reliable.
c) No politicians is reliable.
d) None of these answers
Question 54
Select the conclusion which will make the following argument valid.
If you graduate, then you will find a position.
If you find a position, then you will be well paid.
a) If you are well paid, then you graduated.
b) If you are not well paid, then you did not find a position.
c) If you do not graduate, then you will not be well paid.
d) If you graduate, then you will be well paid.
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 dogs have legs and all poodles are dogs.
Therefore, all poodles have legs
b) Every cat is an animal.
The tiger is a cat.
Therefore, the tiger is an animal.
c) All dogs bark and all poodles are dogs.
Therefore, all poodles bark.
d) All cats have two eyes and animals have two eyes.
Therefore, all cats are animals.
Question 56
Study the information given below. If a logical conclusion is given,
select that conclusion.
All sailors are swimmers. All swimmers wear life jackets.
Chris is wearing a life jacket. Therefore:
a) Chris cannot sail
b) Chris is a sailor
c) Chris can sail
d) None of these answers
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Logic Subtest Total:
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