SAT 12 > 8 Column AColumn BAnswers 3 x 43 + 5ABCDE EXAMPLE Compare the values shown in each...

SCHOLASTIC APTITUDE TEST (SAT)

PREP

PRACTICE PROBLEMS

VERSION 4

QUANTITATIVE COMPARISON QUESTIONS

SAT

12 > 8

A Column A >

Column A Column B Answers

3 x 4 3 + 5 A B C D E

EXAMPLE

Compare the values shown in each column. Select among these choices:

A If Column A is greater

B If Column B is greater

C If Columns are equal

DIf more information is needed to determine relationship

E An E response will be treated as an omission

SAT

10 + 8 80

A Column A >

Column A Column B Answers

1 + 1 8 10

1 + 1 9 11 A B C D E

1.

11 + 9 99

18 80

20 99

22.5 % 22.2 %

SAT

1 2

D Neither Column >

Column A Column B Answers

x 1x A B C D E

2.

2 1

x < 1

– 1 2

– 2 1

SAT

34X .5217.68

A Column A >

Column A Column B Answers

52 % of 34 17 A B C D E

3.

17

SAT

3 x – 6

B Column B >

Column A Column B Answers

3 ( x – 2 ) 3 x – 4 A B C D E

4.

3 x – 4

SAT

6

B Column B >

Column A Column B Answers

6 The sum of the integers A B C D E

5.

11 or 7

The product of two integers is 10.

10 • 1 or 5 • 2

–10 • –1 or –5 • –2

– 11 or –7

D Neither Column is >

SAT

22

32

B Column B >

Column A Column B Answers

x2

y2 x2 y2 A B C D E

6.

22 32

x and y are nonzero integers.

49

36

1 2

2

1 2

3

94

136

1 2 • 1 2 2 3

D Neither Column is >

SAT

34X .5217.68

D Neither Column is >

Column A Column B Answers

AB BC A B C D E

7.

17

• •• •A B C D

SAT

12

B Column B >

Column A Column B Answers

x xy A B C D E

8.

1 • 2 2 1

x > 0y > 1

12

11

SAT

X 5

B Column B >

Column A Column B Answers

X 5 (x3) 2 A B C D E

9.

X 6

x > 1

SAT

1y

D Neither Column is >

Column A Column B Answers

1y

y2

yA B C D E

10.

y1

y ≠ 0

SAT

A = s 2 = 6 2 = 36

C Column are =

Column A Column B Answers

The number of square units in the area of a

square with side 6

The number of units in the perimeter of a square

with side 9A B C D E

11.

P = 4 s = 4 • 9 = 36

SAT

93

A Column A is >

Column A Column B Answers

Bill’s mode test score Bill’s median test score A B C D E

12.

91.5

Bill’s math test scores are the following:88 , 82,94, 93, 85, 90, 93, 98

SAT

A = r 2

A Column A is >

Column A Column B Answers

The area of the circle The area of the rectangle A B C D E

13.

A = l • w

3

A = 3 2

A = 9

A = 9 • 3

A = 27

3

9

SAT

y

D Neither Column is >

Column A Column B Answers

1 – y 1 + y

1 – 1 1 + y A B C D E

14.

1

y > 0

SAT

P = 2 x + 2 y = 32Or

x + y = 16

B Column B is >

Column A Column B Answers

The area of ABCD The area of a square with perimeter 32 A B C D E

15.

Square with Perimeter = 4s = 32 s = 8

A = 8 2 = 64

ABCD is a rectangle with perimeter 32.AB > BC

A = x • y15 • 1 = 15 , 14 • 2 = 28, 13 • 3 = 39, 12 • 4 = 48, 11 • 5 = 55, 10 • 6 = 60, 9 • 7 = 63

PRACTICE PROBLEMS

VERSION 4

STUDENT – PRODUCED RESPONSE QUESTIONS

16. In this figure, if line p is parallel to line q, what is the value of y?

180⁰ – 65⁰ = 115⁰

115⁰ = y⁰

Corresponding <‘s

SAT

65⁰

y⁰

p

q

r

65⁰

17. What is ¼ percent of 16 ?

x = 1 % • 16 4x = 1 1 • 16 4 100

x = 16 = 1 = .04 400 25

SAT

18. Each of these fractions is in its simplest form reduced form and a is an integer greater than 1 and less than 50. Grid in one possible value of a?

3 , 5 , 14a a a

To be in simplest form “a” would have to be a number that has no prime factors in common with 3, 5, 14

11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47

SAT

19. If there are 36 men and 24 women in a group, women make up what fraction of the entire group?

36 + 24 = 60 [total]

24 = 260 5

SAT

20. What is the value of 3 x + 5 when x = 9 ? 4

3 x + 5 = 3 (9) + 5 = 32 = 8 4 4 4

SAT

21. If the positive integer x leaves a remainder of 2 when divided by 6, what will the remainder of be when x + 8 is divided by 6 ?

x = # + 2 R6

8 = 1 + 2 R6

14 = 2 + 2 R 6

20 = 3 + 2 R 6

SAT

x + 8 = # + ? R 6

8 + 8 = 2 + 4 R 6

14 + 8 = 3 + 4 R 6

20 + 8 = 4 + 4 R 6

22. Jim deposited 15% of last week’s take-home pay into a savings account. If he deposited $ 37.50, what was last week’s take-home pay?

.15 = 137.50 x

.15 x = 37.50

x = 37.50 = 250 .15

SAT

23. What is the area of the triangle in this figure ?

SAT

•

• •

( 2 , 3 )

( 4 , 0 )( –2 , 0 )

Area of Triangle = 1/2 b • h

A = 1/2 ( 6 ) • ( 3 )

A = 9

24. A square is divided in half to form two congruent rectangles, each with a perimeter 25. What is the area of the original square ?

A = x 2

SAT

x

x

x

½ x

½ x

24 = 2 x + 2 (½ x)

24 = 2 x + 2 (½ x)24 = 2 x + x24 = 3 x8 = x

A = 8 2 = 64