16 Questions

Questions and Answers

- 1.If (1/3)y + 9 = 0, then y =
- A.
-27

- B.
-9

- C.
-3

- D.
3

- E.
27

- 2.In the figure above, P, Q, and R lie on the same line. P is the center of the larger circle, and Q is the center of the smaller circle. If the radius of the larger circle is 4, what is the radius of the smaller circle?
- A.
1

- B.
2

- C.
4

- D.
8

- E.
16

- 3.Roy planted corn on 1/5 of his land. If he planted 45 acres of corn, how many acres of land does he have?
- A.
90

- B.
112 1/2

- C.
135

- D.
225

- E.
337 1/2

- 4.
- A.
Add 4 to the preceding number.

- B.
Take 1/2 of the preceding number and then add 7 to that result.

- C.
Double the preceding number and then subtract 2 from that result.

- D.
Subtract 2 from the preceding number and then double that result.

- E.
Triple the preceding number and then subtract 8 from that result.

- 5.The two semicircles in the figure above have centers R and S, respectively. If RS = 12, what is the total length of the darkened curve?
- A.
8π

- B.
9π

- C.
12π

- D.
15π

- E.
16π

- 6.If h and k are positive numbers and h + k = 7, then (7 - k)/h =
- A.
1

- B.
0

- C.
-1

- D.
H

- E.
K - 1

- 7.
- A.
200

- B.
3,600

- C.
5,000

- D.
8,000

- E.
950,000,000

- 8.If x
^{2}= x + 6, which of the following must be true?- A.
X = 6

- B.
X< 3

- C.
X > 0

- D.
X^2 < x

- E.
X^2 > x

- 9.Let the functions f be defined by f(x) = 5x - 2a, where a is a constant. If f(10) + f(5) = 55, what is the value of a?
- A.
-5

- B.
0

- C.
5

- D.
10

- E.
20

- 10.A number is called “even-odd” if it is halfway between an even integer and an odd integer. If x is an even-odd number, which of the following must be true? I. 2x is an integer. II. 2x is even-odd. III. x is halfway between two even integers.
- A.
I only

- B.
II only

- C.
I and II only

- D.
II and III only

- E.
I, II, and III

- 11.If m is a positive integer, which of the following is NOT equal to (2
^{4})^{m}?- A.
2^(4m)

- B.
4^(2m)

- C.
2^m(2^(3m))

- D.
4^m(2^m)

- E.
16^m

- 12.In the figure above,
*l || m.*Which of the following must equal 180?- A.
K + n + r

- B.
K + p + s

- C.
N + p + s

- D.
P + n + t

- E.
R + s + t

- 13.How many different ordered pairs (x, y) are there such that x is an even integer, where 4 ≤ x ≤ 10, and y is an integer, where 4 < y < 10 ?
- A.
8

- B.
12

- C.
20

- D.
30

- E.
36

- 14.N(t) = 500(0.81)
^{t}The function above can be used to model the population of a certain endangered species of animal. If n(t) gives the number of the species living t decades after the year 1900, which of the following is true about the population of the species from 1900 to 1920 ?- A.
It increased by about 1,000.

- B.
It increased by about 320.

- C.
It decreased by about 180.

- D.
It decreased by about 320.

- E.
It decreased by about 1,000.

- 15.A sphere of radius r inside a cube touches each one of the six sides of the cube. What is the volume of the cube, in terms of r ?
- A.
R^3

- B.
2r^3

- C.
4r^3

- D.
(4/3)r^3

- E.
8r^3

- 16.According to the graph above, in which year was the ratio of the number of students enrolled at School B to the number of students enrolled at School A the greatest?
- A.
1990

- B.
1991

- C.
1992

- D.
1993

- E.
1994