SAT Free Practice Test — Section 3:  25 Minutes / 18 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 p - q = 7, what is the value of p - q + 2 ?

2.  In the right triangle above, if z =, what is the value of y ?

	(A) (approximately 1.41)
	(B) 2
	(C) (approximately 4.24)
	(D) 5
	(E) 7

STANTONVILLE HOME OWNERSHIP

	Own	Rent	Total
Men		30,000	54,500
Women			59,000
Total		56,000

3.  The table above, describing the rates of home ownership in Stantonville, is partially filled in. Based on the information in the table, how many women own homes in Stantonville?

4.  The sum of the numerator and denominator of a certain fraction is 36. If the fraction is equal to , what is the numerator of this fraction?

5.  A six-sided die is rolled two times. The fraction is formed, where c represents the result of the first roll, while d represents the result of the second roll. On each roll, each of the six sides of the die has an equal probability of occurring. What is the probability that the fraction is equal to
?

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

6.  The books on a certain bookshelf are either hardcover or paperback. If the ratio of the number of hardcover books to the number of paperback books is , each of the following could be the total number of books on the bookshelf EXCEPT

7.  Holly and Steve begin walking home from a grocery store at the same time. Holly walks due north at an average rate of 4km/hr while Steve walks due east at an average rate of 3km/hr. If they each reach their homes at the same time and the straight-line distance between their homes is 15km, how many hours have elapsed since they left the grocery store?

8.  Which of the following lettered points on the number line above could represent the result when the coordinate of point Y is divided by the coordinate of point X ?

 

9.  If p³ = 125, what is the value of 3p² ?

 

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

10. What is the value of n that satisfies both equations above?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

11.  Each angle of triangle PQR above has the same measure as an angle in triangle ABC (not shown). If the length of the hypotenuse of triangle ABC is 6 and its perimeter is 13, what is the value of x?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

12.  If x² - xy = 144 and x - y = 4, what is the value of y ?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

13.  Let the function f be defined by f(x) = x - 2. If f(3p) = 19, what is the value of 3f(2p) ?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

14.  The sum of a set of 9 consecutive odd integers is 549. What is the median of these 9 integers?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

Note: Figure not drawn to scale.

15.  In triangle ABE above, . What is the value of the fraction ?

	/	/
.	.	.	.
	0	0	0
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9

 

 

16.  If 80 percent of (x + y) is equal to 40 percent of 10y, what is the value of ?

	/	/
.	.	.	.