Directions: For this section, solve each problem and decide which is the best of the
choices given. Fill in the corresponding circle on the answer sheet. You may use any
available space for scratchwork.
1. Andrea subscribed to four publications that cost $12.90, $16.00, $18.00, and $21.90 per year,
respectively. If she made an initial payment of one-half of the total yearly subscription cost,
and paid the rest in four equal monthly payments, how much was each of the four monthly
payments?
(A) $8.60
(B) $9.20
(C) $9.45
(D) $17.20
(E) $34.40
2. If
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, what is the value of x ?
(A) −
(B)
(C)
(D) 0
(E) 2
3. A survey of Town X found an average (arithmetic mean) of 3.2 persons per household and a
mean of 1.2 televisions per household. If 48,000 people live in Town X, how many televisions
are in Town X ?
(A)
(B)
(C)
(D)
(E)
15,000
16,000
18,000
40,000
57,600
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If I do not have any flour, I am not able to make cookies.
4. If the statement above is true, which of the following statements must be true?
(A)
(B)
(C)
(D)
(E)
If I did not make cookies, I must not have had flour.
If I made cookies, I must have had flour.
If I have flour, I must be able to make cookies.
If I was able to make cookies, I must not have had any flour.
If I am not able to make cookies, I must not have any flour.
5. Let the function f be defined such that f(x) = x2 − c, where c is a constant. If f(−2) = 6, what is
the value of c ?
(A)
(B)
(C)
(D)
(E)
−10
−2
0
2
6
6. If 9b = 81, then
(A)
9
(B) 27
(C) 81
(D) 243
(E) 729
=
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7. What is the diameter of a circle with a circumference of 5 ?
(A)
(B)
(C) 5
(D) 5π
(E) 10π
8. If the product of (1 + 2), (2 + 3), and (3 + 4) is equal to one-half the sum of 20 and x, what is
the value of x ?
(A)
10
(B)
85
(C) 105
(D)
190
(E) 1,210
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= 22, then x =
9. If
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
10. According to the table above, x + y =
(A)
(B)
(C)
(D)
(E)
$32,000
$48,000
$60,000
$68,000
$80,000
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Note: Figure not drawn to scale.
11. If AB > CD, which of the following must be true?
I. AB > BC
II. AC > BD
III.AC > CD
(A)
(B)
(C)
(D)
(E)
I only
II only
III only
II and III only
I, II, and III
12. If f(x) =
(A)
(B)
(C)
(D)
(E)
, what is the value of f(1) ?
−2
−1
1
2
3
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13. A researcher found that the number of bacteria in a certain sample doubles every hour. If there
were 6 bacteria in the sample at the start of the experiment, how many bacteria were there after
9 hours?
(A)
54
(B) 512
(C) 1,536
(D) 3,072
(E) 6,144
14. If f(x) = x2 + 2, which of the following could be a value of f(x) ?
(A)
(B)
(C)
(D)
(E)
−2
−1
0
1
2
15. How many numbers from 1 to 200 inclusive are equal to the cube of an integer?
(A)
(B)
(C)
(D)
(E)
One
Two
Three
Four
Five
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16. If the perimeter of rectangle ABCD is equal to p, and x = y, what is the value of y in terms
of p ?
(A)
(B)
(C)
(D)
(E)
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17. A basketball team had a ratio of wins to losses of 3:1. After the team won six games in a row,
its ratio of wins to losses became 5:1. How many games had the team won before winning six
games in a row?
(A) 3
(B) 6
(C) 9
(D) 15
(E) 24
18. In rectangle PQRS above, what is a + b in terms of x ?
(A)
(B)
(C)
(D)
(E)
90 + x
90 – x
180 + x
270 – x
360 – x
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19. What is the area of square ABCD ?
(A)
(B)
(C)
(D)
(E)
25
18
26
25 +
36
20. A square is inscribed in a circle with radius r. What is the probability that a randomly selected
point within the circle will NOT be within the square?
(A)
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(B)
(C)
(D)
(E)
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