# SAT Section 7 - Group 4

16 Questions | Total Attempts: 119  Settings  In this seventh section of our ongoing SAT-level quiz series, we focus in more on mathematics, with reference to such subjects as algebra, radiuses, fractions, sequences, lengths, quadratic equations and more! How will you get on?

Related Topics
• 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.
6, 10, 18, 34, 66 The first number in the list above is 6. Which of the following gives a rule for finding each successive number in the list?
• 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.

• B.

• 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.
The table above shows the populations of two countries and their population densities. The number of square miles in the area of Country B is approximately how much greater than the number of square miles in the area of Country A ?
• A.

200

• B.

3,600

• C.

5,000

• D.

8,000

• E.

950,000,000

• 8.
If x2 = 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 (24)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.

• B.

• C.

• D.

• E.

• 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