SAT Free Practice Test — Section 6:  20 Minutes / 16 Questions

Notes:
1. The use of a calculator is permitted
2. All numbers used are real numbers
3. Figures that accompany problems in this test are intended to provide information useful in solving the problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated.
4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real numbers x for which f(x) is a real number.

1.  If O is the set of odd integers, P is the set of positive integers, and S is the set of integers less than 10, which of the following integers will be in all three sets?

2.  A recipe calls for 2 cups of flour to make 3 dozen cookies. How many cups of flour would it take to make dozen cookies?

Number of Crayons	Cost
1	$0.15
12	$0.99
24	$1.49

3.  Of the following, which is the closest approximation of the cost per crayon when one purchases a box of 12 ?

Note: Figure not drawn to scale.

4.  In the figure above, what is the value of x ?

Question 5 refers to the following table.

Class Period	Start Time	End Time
Homeroom
History
Math
English
Lunch
Spanish
Physics
Economics		3:00 P.M.

 

5.  In the schedule to the left, each class period is to be 1 hour long, lunch is to be ¾ of an hour long, and homeroom is to be ¼ hour long. If economics, the last class period of the day, is to end at 3:00 P.M., at what time should homeroom begin?

Note: Figure not drawn to scale.

6.  In the figure above, line segments AB, CD, and CE intersect at point C, forming three angles. What is the value of x ?

7.  If 2^a x 2^b = 128, where a and b are consecutive positive integers and a < b, what is the value of
a ?

8.  If x² - y² = 60 and (x - y) = 6, what is the value of (x + y) ?

9.  If n is an integer and 4 is the remainder when 4n - 1 is divided by 5, then n could be

10.  The volume of a right circular cylinder with radius r and height 2 is 72. In terms of r, what is the radius of a right circular cylinder with height 2 and volume = 18 ?

	(A) r2
	(B) 3r
	(C) 2r
	(D)
	(E)

11.  In the figure below, equilateral triangle ABC is made up of 10 nonoverlapping equilateral triangles. The four smallest triangles have the same area. Each of the other triangles has four times the area of the next smaller triangle. The area of the shaded triangle is what fraction of the area of triangle ABC ?

		(A)
		(B)
		(C)
		(D)
		(E)

12.  In the figure above, points A, B, and C are different points on a line (not shown), and B is at the center of the circle. Line segments AB and BC are bisected by the circle, which has a circumference of 10. What is the length of
?

13.  If a, b, and c are positive integers such that the value of a + b is odd and the value of
c(a² + b²) is even, which of the following must be true?

14.  If (x + y) = 3(x + y)^-1, which of the following must be true?

15. The lengths of the sides of a right triangle are consecutive even integers. If the area of the triangle is 24, what is the length of the hypotenuse of the triangle?

Question 16 refers to the following diagram.

16.  The pattern shown to the left is composed of 5 rectangular tiles. This pattern is to be used repeatedly to completely cover a rectangular room 4L units wide and 5L units long. If only 20 rectangular tiles are available, what fraction of the room will remain uncovered?

	(A)
	(B)
	(C)
	(D)
	(E)