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Directions: For this section, solve each problem and decide which is the best of
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F' ll ' h
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t e c olces gIven. I In t e correspon mg ovaI on the answer sheet.You may
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use any avaIlable spacefor scratchwork.
t'
ues Ions
1. Calculator use is permitted.
2. All numbers used are real numbers.
3. Figures are provided for some problems. All figures are drawn to scale and lie in a plane UNLESS otherwise
indicated.
4. Unless otherwise specified, the domain of any functionjis assumedto be the set of all real numbersx for
whichj(x) is a real number.
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Special Right Triangles
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The sum of the measuresin degreesof the anglesof a triangle is 180.
The number of degreesof arc in a circle is 360.
A straight angle has a degreemeasureof 180.
Annual Sales at a Clothing Store
Other
25%
Casual
clothing
25%
II
Business
clothing
50%
If the store's salesrepresentedin the graph above
totaled $1.8 million, what were the salesto purchasers
of casualclothing?
(A) $180,000
(B) $225,000
~ $360,000
(iD:I $450,000
(E) $900,000
tJ
The number of red jellybeanseatenby a gro~p of children
varie~inverselywith the number of greenjellybeanseaten.
If 50 red jellybeansareeatenwhen 25 greenjellybeansare
eaten,how many greenjellybeansareeatenwhen 5 red
jellybeansareeaten?
(A) 5
(B) 25
(C) 60
(D) 95
~250
If xY = 16,where x and yare positive integersand x < y,
what is the value of x - y?
Figure I
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II
Q-2
Figure II
(B)
(C)
(D)
(E)
Figurenot drawnto scale.
Basedon the information in Figure I above,what is the
value of y in Figure II?
-1
0
1
2
(A) 120
(B) 75
(C) 60
45
30
(;
II
In a certain solution of water and syrup, the ratio by
volume of the amount of water to the amount of syrup
is 8 to 5. If the volume of the syrup is 40 cubic inches,
what is the volume, in cubic inches, of the water?
(A) 12\13
(B) 8
(94\13
(A) 24
(B) 25
(C) 40
lD1) 64
(EJ 104
,
(D) 4
(E) 2\13
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II
Iff(x) =;xl -x andg(x) =;xl -1, what is the value of
If Sa-, 2 > 41, which of the following describes.!ill
f(g(3))?
possiblevaluesof a?
(A) 35
((;M a
~B 48
(B) a>7.8
(C) a = 7.8
(D)a<7.8
(E) a < 8.6
C 56
) 60
(E) 61
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m
I.
I.
X
Q
R
II
I
(1'
S
I
Y
I
x, y, Z, 65
T
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1
On the number line above,eachof the letters P, Q, R, S,
and T correspondsto a different number. Which of
those letters could correspond to the value of ~Y?
(A) P
@}Q
(C) R
(D) S
(E) T
> 8.6
In the sequenceof positive integersabove,eachterm,
starting with the second,is one lessthan double the
previous term. What is the value of x?
(A)
(B)
1
7.25
@9
(D) 17
(E) 525
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In a list of 24 different numbers, 18 of the numbers are
w less
than 12, and 12 of the numbers are greater than 6.
How many of thesenumbers are both greaterthan 6
and lessthan 12?
~6
(B)
(C)
(D)
(E)
ill
8
10
12
14
In the figure above,squareABCD is inscribed in the
circle with center 0 and radius 3\/2. What is the
perimeter of square ABCD?
(A) 9
(B) 12
15::) 18
~24
(E) 36
lEa If the average(arithmeticmean)of a, b, andcis z, what
is the average
of a and b in termsof c andz?
y
(A) !.=.£
2
(B) ~
2
@¥
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(D) 3z-c
(E) 3z + c
~
In the figure above,eachtriangle is equilateral.If
triangle XYZ has an area 75, what is.the sum of the
areasof the shadedtriangles? ,),,"
~)25
~
30
':~,i-'.1
(C) 32.5
(D) 37.5
(E) 45
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m
In the xy-coordinate plane, if both x and yare integers,
how many points (x,y) lie on the line 3x + 6y = 29?
@
D.
None
(B) One
(C) Two
(D) Four
(E) Infinitely many
,
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m
The sum of four different negativeintegers equals-12.
What is the least value that one of theseintegerscould
have?
(iiiJ,=:
(C) ~
(D) -3
(E) -2
(E) 2d
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In order for a piece of luggageto fit in the overhead
compartment of a certain airplane, the sum of the
height of the luggageand the perimet~r of the baseof
the luggagemust be lessthan or equal to 124inches. If a
piece of luggagehas height 40 inchesand width 18
inches,what is the maximum possiblelength of the
luggage?
'
(A)
(B)
(C)
(D)
76 inches
48 inches
36 inches
33 inches
In the figure above,a smaller circle is inscribed in a
square,which is inscribed in a larger circle. If a point on
the figure is chosenat random, what is the probability
that the point is in'tbe shadedarea?
~24inches
(A)
-L
411
(D)!!-=-?:.
1l
(E)
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