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Practice Test 4ANALYTICAL WRITING ASSESSMENT Analysis of an Issue 1 QUESTION • 30 MINUTES Directions: Using a word processor, compose a response to the following statement and directive.

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QUANTITATIVE SECTION

1. OA OB OC OD OE

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VERBAL SECTION

1. OA OB OC OD OE

2. OA OB OC OD OE

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Practice Test 4

ANALYTICAL WRITING ASSESSMENT

Analysis of an Issue

1 QUESTION • 30 MINUTES

Directions: Using a word processor, compose a response to the

following statement and directive Do not use any spell-checking or grammar-checking functions

“Most people are actually happier when they have fewer goods and services from which to choose; this is especially true today, when we are deluged with advertising as never before and from more sources than ever before.”

In your view, how accurate is the foregoing statement? Use reasons and/or examples from your experience, observation, and/or reading to explain your viewpoint

practice

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Analysis of an Argument

1 QUESTION • 30 MINUTES

Directions: Using a word processor, compose an essay for the following argument and

directive Do not use any spell-checking or grammar-checking functions

The following appeared in a memo from the principal of Harper Elementary School

to the school’s faculty and staff:

“To raise the level of reading skills of our students to a level that at least represents the national average for students in the same age group, we should adopt the “Back to Basics” reading program After all, according to the company that created the program and provides it directly to elementary schools throughout the country, Back to Basics has a superior record for improving reading skills among youngsters nationwide By adopting Back to Basics, the parents of Harper Elementary School students would be assured that their children will develop the reading skills they will need throughout their lives.”

Discuss how well reasoned you find this argument In your discussion be sure to analyze the line of reasoning and the use of evidence in the argument For example, you may need to consider what questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion You can also discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what, if anything, would help you better evaluate its conclusion

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QUANTITATIVE SECTION

37 QUESTIONS • 75 MINUTES

Directions for Problem Solving Questions: (These directions will appear on your

screen before your first Problem Solving question.)

Solve this problem and indicate the best of the answer choices given

Numbers: All numbers used are real numbers.

Figures: A figure accompanying a Problem Solving question is intended to provide

infor-mation useful in solving the problem Figures are drawn as accurately as possible EXCEPT

when it is stated in a specific problem that its figure is not drawn to scale Straight lines

may sometimes appear jagged All figures lie on a plane unless otherwise indicated

To review these directions for subsequent questions of this type, click on HELP

Directions for Data Sufficiency Questions: (These directions will appear on your

screen before your first Data Sufficiency question.)

This Data Sufficiency problem consists of a question and two statements, labeled (1) and

(2), in which certain data are given You have to decide whether the data given in the

statements are sufficient for answering the question Using the data given in the

statements plus your knowledge of mathematics and everyday facts (such as the

number of days in July or the meaning of counterclockwise), you must indicate whether:

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to

answer the question asked;

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to

answer the question asked;

(C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the

question asked, but NEITHER statement ALONE is sufficient;

(D) EACH statement ALONE is sufficient to answer the question asked;

(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question

asked, and additional data specific to the problem are needed

Numbers: All numbers used are real numbers.

Figures: A figure accompanying a Data Sufficiency problem will conform to the

information given in the question, but will not necessarily conform to the additional

information in statements (1) and (2)

Lines shown as straight can be assumed to be straight and lines that appear jagged can

also be assumed to be straight

You may assume that positions of points, angles, regions, etc., exist in the order shown

and that angle measures are greater than zero

All figures lie in a plane unless otherwise indicated

Note: In Data Sufficiency problems that ask you for the value of a quantity, the data

given in the statements are sufficient only when it is possible to determine exactly one

numerical value for the quantity

To review these directions for subsequent questions of this type, click on HELP

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1 A container holds 10 liters of a

solution which is 20% acid If 6 liters

of pure acid are added to the con-tainer, what percent of the resulting mixture is acid?

(A) 8

(B) 20

(C) 331

3

(D) 40 (E) 50

2 Which costs more: a can of corn or a

can of beets?

(1) Canned corn sells at three cans for a dollar

(2) Canned beets have been discounted by 10%

3 If the cold-water tap and hot-water

tap running together can fill a bathtub in 30 minutes, how long would it take the hot water tap alone

to fill the tub?

(1) The cold water tap alone could fill the tub in 45 minutes

(2) The hot water tap can fill a 10-gallon tank in 10 minutes

4.

In the figure above, x 5

(A) 30°

(B) 35°

(C) 40°

(D) 45°

(E) 50°

5 If (x 2 1) is a prime number between

40 and 50, what is the greatest

possible prime factor of x?

(A) 2

(B) 3

(C) 7

(D) 11 (E) 13

6 Jill is now 20 years old, and her

brother Gary is now 14 years old How many years ago was Jill’s age three times Gary’s age at that time?

(A) 3

(B) 8

(C) 9

(D) 10 (E) 11

7. 2

33

3

41

3

23

5

32

3

43

4

55

(A) 9

5

(B) 12

5

(C) 8

3

(D) 14

5

(E) 31

10

8 What is the value of x2?

(1) (x 2 3)2

5 (x 1 7)2 (2) 2x 1 5 5 1

9 An ice-cream sundae consists of two

ice-cream scoops, one flavor per scoop, and one topping How many different types of sundaes can be prepared if four ice-cream flavors and two toppings are available?

(A) 12

(B) 14

(C) 16

(D) 18 (E) 20

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QUESTIONS 10–11 REFER TO THE

FOLLOWING CHART:

10 During year X, the greatest dollar

amount by which the share price of

ABC common stock exceeded the

share price of XYZ common stock

was approximately

(A) $1.80

(B) $2.60

(C) $3.00

(D) $3.60

(E) $3.80

11 Which of the following investments,

if held through the 4th quarter of

year X, would have appreciated most

in dollar value?

(A) A purchase of 500 shares of

ABC stock at the beginning of

the 1st quarter

(B) A purchase of $500 in XYZ

stock at the end of the

3rd quarter

(C) A purchase of $1000 in ABC

stock at the end of the

2nd quarter

(D) A purchase of 200 shares of

XYZ stock at the beginning of

the 1st quarter

(E) A purchase of $150 in ABC

stock at the end of the

3rd quarter

12 What is the slope of a line L

appear-ing on the xy-plane?

(1) Line L contains the point P(0,2).

(2) The y-intercept of line L is 2.

13 If xy Þ 0, is x y ?

(1) |x| |y|

(2) x 5 1

14 If x, y, and z are non-negative

integers, is 5(x 1 y) 1 z divisible

by 5?

(1) (x 1 y) is a multiple of 5.

(2) z is divisible by 5.

15 A rectangular door measures 5 feet

in width by 6 feet, 8 inches in height

What is the distance from one corner

of the door to the diagonally opposite corner?

(A) 8 feet, 3 inches

(B) 8 feet, 4 inches

(C) 9 feet

(D) 9 feet, 4 inches (E) 9 feet, 6 inches

16. 9

113 119

11113 99

(A) 81

121

(B) 9

11

(C) 1

(D) 11

9

(E) 121

81

17 If 3a 5 5b 5 90, then ab 5

(A) 60

(B) 270

(C) 420

(D) 540 (E) 775

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18 What is the arithmetic mean (simple

average) of a, b, and c?

(1) The median of a and b is 5.

(2) c 5 9

19.

a°

B C A

c°

d°

b°

Referring to the figure above, what is

the sum of c and d?

(1) b 1 f 5 80 (2) a 1 b 5 110

20 If 22x 25, then which of the

following must be true?

(A) x ,5

2

(B) x 22

5

(C) x 5

2

(D) x ,2

5

(E) x 25

2

21 If a circle whose radius is x has an

area of 4 square units, what is the unit area of a circle whose radius

is 3x?

(A) 24

(B) 28

(C) 36

(D) 40 (E) 42

22 Five executives earn $150,000 each

per year, three executives earn

$170,000 each per year, and one executive earns $180,000 per year What is the average salary of these nine executives?

(A) $156,250

(B) $160,000

(C) $164,480

(D) $166,670 (E) $170,000

23. Îx2

361

x2

255

(A) |x|

30=61

(B) x

2=61 61

(C) 11x

30

(D) x

2

15Îx

2

(E) x

2 11

24 If 14 sculptors at a craft fair are also

painters, how many painters are at the fair?

(1) The number of painters and the number of sculptors add up to 44 (2) 7 of the sculptors are not painters

25 Dan has $10,000 to invest He

invests some of the money in an account that pays 5% annual interest and the rest in an account that pays 6% annual interest If, at the end of one year, he has earned $560 in interest, how much money did he invest at 5%?

(A) $3000

(B) $4000

(C) $5000

(D) $6000 (E) $7000

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