1

(A) 9

(B) 3X

(C) 9X

(D) 9X2

(E) 3X2

A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R?

19 What is the freight charge for transporting seven drums of motor oil weighing 165 pounds each, if the charge is 50 cents per pound?

(A) $95.60 (B) $255.63

(C) $361.25 (D) 484.80

(E) $577.50

A vertical antennae tower is supported by a wire that runs from the top of the tower to the ground. If the wire makes an angle of 62° with the ground and is 575 yards long, how tall is the tower?

(A)

(B)

(C)

(D)

(E)

575 cos 62°

575 sin 62°

575 tan 62°

62cos575

62sin

575

The volume of a rectangular carton with a square base is 36 cubic feet. If the height of the carton is 24 inches, how many feet are there on each side of the base?

(A)

(B)

(C)

(D)

(E) 18

9

33

23

32

An investment of $7,000 earns $800 each year. At the same rate, how much must be invested to earn $1,200 a year?

(A)

(B)

(C)

(D)

(E)

$7,800

$10,500

$10,700

$11,500

$11,700

If the angles of a given triangle are in a ratio of 2 : 3 : 4. What type of triangle is it?

(A)

(B)

(C)

(D)

(E)

equilateral

isosceles

right

obtuse

acute

If 2x + 5y = 12, then 6x + 15y =

(A)

(B)

(C)

(D)

(E)

18

24

36

42

Cannot be determined

The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment?

(A)

(B)

(C)

(D)

(E)

12.5%

25%

33.3%

50%

66.7%

Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members?

(A)

(B)

(C)

(D)

(E)

10

15

30

25

45

Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members?

(A)

(B)

(C)

(D)

(E)

10

15

30

25

45

What is the area of the parallelogram shown?

(A)

(B)

(C)

(D)

(E) 36

218

318

18

32

12630°

Mr. Tower takes 8 hours to drive from New York City to Buffalo. What fractional part of the drive still remains after he has driven x hours?

(A)

(B)

(C)

(D)

(E) xx

x

xx

x

x

8

8

8

8

8

8

The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment?

(A)

(B)

(C)

(D)

(E)

12.5%

25%

33.3%

50%

66.7%

(A)

(B)

(C)

(D)

(E)

18

24

36

42

Cannot be determined

x75

40

A B C

D E

Find the value of x if DE | | AC

(A) 20 (B) 35 (C) 52.5 (D) 60 (E) 65

16

(A)

(B)

(C)

(D)

(E)

x

x

x

x 183

362

2

x

x

3

)6(

Perform the indicated operation and express the result in lowest terms.

x

x

3

)6(

3

)6( x

)6(

3

x

3

)6( x

17

(A) 208

(B) 200

(C) 32

(D) 10

(E) 2

23 46

18

Express 0.005 as a percent

(A) 0.5%

(B) 0.05%

(C) 0.005%

(D) 0.0005%

(E) 0.00005%

19

(A) The circumference and area are both quadrupled.

(B)The circumference is quadrupled and the area is multiplied by 8.

(C) The circumference is quadrupled and the area is multiplied by 16.

(C) The circumference is multiplied by 16 and the area is multiplied by 32.

(D) The circumference and the area are both multiplied by 16.

If the radius of a circle is quadrupled, then

20

If , then a possible

value of x is(A) 110

(B) 52

(C) -5

(D) -52

(E) -110

357

xx

21

(A) 5/8.

(B) 2/6

(C) 2/3

(D) 11/16

(E) 3/4

A coin purse contains 7 pennies, 4 nickels, and 5 dimes. If one coin is removed from the purse at random, what is the probability that the coin is either a dime or a penny?

22

(A)

(B)

(C)

(D)

(E)

423 )3( Simplify cba

58781 cba

481212 cba

56781 cba481227 cba481281 cba

23

In the right triangle PQR below, what is the value of cos Q?

P

3

Q 7 R

58

58 )(

58

585 )(

58

587 )( 7

3 )( 27 )(

ED

CBA

24

Which of the following fractions is the largest?

54

119

98

87

43(A)

(B)

(C)

(D)

(E)

25

A secretary is paid time and a half for working overtime. Last week, he earned $297 for working 9 hours of overtime. What is his regular hourly salary?

(A) $12 (B) $18

(C) $22 (D) $26

(E) $33

26

DB

ABCE

CB

DA

CB

DAC

DB

BCA

BD

BCA

DCBA

xDxCxBA

)(

D )(

B A

? and ,,,

of in terms to,equal is what ,)( If

27

A used fax machine is purchased for $225. This was 45% of the machine’s original price. What was the machine’s original price?

(A) $200 (B) $300 (C) $400

(D) $500 (E) $620.32

28

(A)

(B)

(C)

(D)

(E)

29

What is the area, in square inches, of the figure shown below?

12 inches

3 inches

8 inches

5 in

ches

(A) 18

(B) 30

(C) 36

(D) 44

(E) 60

30

31

A

D

C

B

E

80°60°

32

33

x°

40°

65°

34

35

36