GRADUATE RECORD EXAMINATIONS®
Practice General Test #1
Section 3: Quantitative Reasoning
Section 4: Quantitative Reasoning
Copyright © 2010 by Educational
Testing Service. All rights reserved. ETS, the E T S logo, GRADUATE
RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing
Service (E T S) in the United States and other countries.
Revised Graduate Record Examinations® General Test
Practice Test Number 1
Instructions for the Verbal Reasoning and Quantitative Reasoning Sections
Information for screen reader users:
This document has been created to be accessible
to individuals who use screen readers. You may wish to consult the manual or
help system for your screen reader to learn how best to take advantage of the
features implemented in this document. Please consult the separate document, GRE
Screen Reader Instructions.doc, for important details.
This practice test includes content that some users may
wish to skip. For example, some questions require you to complete sentences or
longer texts from among several choices. For those questions where it might be
helpful to hear the available choices in context, text of the choices in
context is included. However, some users may wish to skip this material. Similarly,
some questions include detailed figure descriptions that some users may wish to
skip because they can get the required information from the accompanying
tactile or large print figures. In each case, material that may be skipped is
delineated by statements like “Begin skippable content” and “End skippable
content” each in the Heading 6 style.
As a reminder, standard timing for each section of the test
is provided in the table below:
|
Section Name
|
Standard Time
|
|
|
Analytical Writing 1
|
Analyze an Issue
|
30 minutes
|
|
Analytical Writing 2
|
Analyze an Argument
|
30 minutes
|
|
1
|
Verbal Reasoning
|
35 minutes
|
|
2
|
Verbal Reasoning
|
35 minutes
|
|
3
|
Quantitative Reasoning
|
40 minutes
|
|
4
|
Quantitative Reasoning
|
40 minutes
|
The Quantitative sections include figures and their
descriptions. In addition, separate
figure supplements, in large print (18 points) and raised-line formats, are
available. The large print figure supplement may be downloaded from http://www.ets.org/gre/disabilities.
To obtain the raised-line figure supplement or if you have difficulty locating
the large print figure supplement on the GRE® web site,
contact E T S Disability Services Monday-Friday 8:30 a.m. to 5 p.m.
New York time, 1-609-771-7780, 1-866-387-8602
(toll free for test takers in the United States,
U.S. Territories, and Canada).
E-mail: stassd@ets.org.
Important Notes
In the actual test, your scores for the multiple-choice
sections will be determined by the number of questions you answer correctly.
Nothing is subtracted from a score if you answer a question incorrectly.
Therefore, to maximize your scores it is better for you to guess at an answer
than not to respond at all. Work as rapidly as you can without losing accuracy.
Do not spend too much time on questions that are too difficult for you. Go on
to the other questions and come back to the difficult ones later.
Some or all of the passages in this test have been adapted
from published material to provide the examinee with significant problems for
analysis and evaluation. To make the passages suitable for testing purposes,
the style, content, or point of view of the original may have been altered. The
ideas contained in the passages do not necessarily represent the opinions of
the Graduate Record Examinations Board or Educational Testing Service.
You may use a calculator in the Quantitative Reasoning
sections only. You will be provided with a basic calculator and cannot use any
other calculator, except as an approved accommodation.
Marking Your Answers
In the actual test, all answers must be entered in the test book (or in the
supervisor’s copy of the test book if you are not using a print format test). If
answers are being recorded in a large print test book, the directions for
marking answers are slightly different because answers entered in large print
test books are not machine-scored.
If your answers are
being entered in a large print test book, make sure your marks are clear and
unambiguous. Additional instructions for marking answers in large print
test books are provided with the large print practice tests.
The following instructions describe how answers must be
filled in if using a regular print test book, whether you are entering your own
answers or a scribe is entering them at your direction.
Be sure that each mark is dark and completely fills the
circle.
Any stray marks that lie in or near a circle must be erased
carefully. If you change an answer, be sure that all previous marks are erased
completely. Stray marks and incomplete erasures may be read as intended
answers. You may work out your answers in the blank areas of the test book, but
do not work out answers near the circles. Scratch paper will not be provided,
except as an approved accommodation.
Question Formats
This practice test may include questions that would not be
used in an actual test administered in an alternate format because they have
been determined to be less suitable for presentation in such formats.
The questions in these sections have several different
formats. A brief description of these formats and instructions for entering
your answer choices are given below.
Multiple-Choice Questions—Select One Answer Choice
These standard multiple-choice questions require you to
select just one answer choice from a list of options. You will receive credit
only if you mark the single
correct answer choice and no other.
Example:
What city is the capital of France?
A. Rome
B. Paris
C. London
D. Cairo
In this example, B, Paris, should be marked.
Multiple-Choice Questions—Select One or More Answer Choices
Some of these questions specify how many answer choices you
must select; others require you to select all that apply. In either case, to
receive credit all of the
correct answer choices must be marked. In printed versions of the test, these
questions are distinguished by the use of a square box to select an answer
choice.
Example:
Select all that apply.
Which of the following countries are in Africa?
A. China
B. Congo
C. France
D. Kenya
In this example, B and D (Congo
and Kenya)
should be marked.
Column Format Questions
This question type presents the answer choices in groups
(presented as columns in the printed version of the test). You must pick one
answer choice from each group. You will receive credit only if you mark the
correct answer choice in each group.
In the following example, there is a sentence with two blanks, each indicating
that something has been omitted. For each question of this type, first you will
hear the text with the word “BLANK”
in place of the omitted material. Next, you will hear the text again, but in
place of each blank, you will hear three lettered options for filling that
blank. The set of lettered options is formatted as bold and enclosed in
parentheses. Each option consists of a word or phrase.
For
questions containing one or two blanks, following
the list of answer choices are up to nine readings of the text,
one for each answer choice combination. The group of readings begins with a “Begin Skippable Content” level-6
heading and ends with an “End Skippable
Content” level-6 heading. Each reading consists of the option letter or
letters, the words or phrases being combined, and the text with the combination
of the words or phrases inserted into the blanks.
For questions containing three blanks, the
choices will not be read in context because it has been
determined that replaying the question for all possible combinations of answer
choices is not a useful way to present these questions.
Example:
This question has two
blanks.
Complete the following sentence.
BLANK is
the capital of BLANK.
Now listen to the text with the three options inserted in
place of each blank.
(A. Paris, B. Rome, C. Cairo) is the capital of (D. Canada,
E. France, F. China).
Indicate your two answer choices and skip
hearing the answer choices in context or go on to hear them in context before
indicating your answer choices. Fill all blanks in the way that best completes
the text.
Begin skippable content.
Answer Choices in Context:
A, D. Paris, Canada.
Paris
is the capital of Canada.
A, E. Paris, France.
Paris
is the capital of France.
A, F. Paris, China.
Paris
is the capital of China.
B, D. Rome, Canada.
Rome
is the capital of Canada.
B, E. Rome, France. Rome is the capital of France.
B, F. Rome, China.
Rome
is the capital of China.
C, D. Cairo, Canada.
Cairo
is the capital of Canada.
C, E. Cairo, France.
Cairo
is the capital of France.
C, F. Cairo, China. Cairo
is the capital of China.
End skippable content.
Indicate your two answer choices. Fill all
blanks in the way that best completes the text.
In this example, choice A, Paris (from the group A, B, C), and E, France
(from the group D, E, F), should be indicated as the answer.
Numeric Entry Questions
These questions require a number to be entered by marking
entries in a grid according to the following instructions.
Your answer may be an integer, a decimal, or a fraction,
and it may be negative.
Equivalent forms of the correct answer, such as 2.5 and
2.50, are all correct. Although fractions do not need to be reduced to lowest
terms, they may need to be reduced to fit in the grid.
Enter the exact answer unless the question asks you to
round your answer.
If a question asks for a fraction, the grid will have a built-in
division slash. Otherwise, the grid will have a decimal point.
The instructions for marking the entries will depend on
whether a regular print or a large print test is being used to record your
answers. If your answers are being entered into a regular print edition of the
test, the following instructions apply:
Start your answer in any column, space permitting. Fill in
no more than one entry in any column of the grid. Columns not needed should be
left blank.
Write your answer in the boxes at the top of the grid and
fill in the corresponding circles. You will receive credit only if your grid
entries are clearly marked, regardless of the number written in the boxes at
the top.
If your answers are being entered into a large print
edition of the test, instead of filling in circles on the grid in steps 5 and
6, you will be asked to circle those entries.
Section 3 follows. In an actual test, testing time will
resume when you begin the section 3
Revised G R E Practice Test Number 1.
Section 3. Quantitative Reasoning.
25 Questions.
Information for screen reader users:
This document has been created to be accessible to
individuals who use screen readers. You may wish to consult the manual or help
system for your screen reader to learn how best to take advantage of the
features implemented in this document. Please consult the separate document, GRE
Screen Reader Instructions.doc, for important details.
Section Directions
For each question, indicate the best answer, using the
directions given.
Notes: All
numbers used are real numbers.
All figures are assumed to lie in a plane unless
otherwise indicated.
Geometric figures, such as lines, circles, triangles, and
quadrilaterals, are not necessarily drawn to scale. That
is, you should not assume
that quantities such as lengths and angle measures are as they appear in a
figure. You
should assume, however, that lines shown as straight are actually straight,
points on a line are in the order shown, and more generally, all geometric
objects are in the relative positions shown. For questions with geometric
figures, you should base your answers on geometric reasoning, not on estimating
or comparing quantities from how they are drawn in the geometric figure.
Coordinate systems, such as x y planes and number lines, are
drawn to scale; therefore, you can read, estimate, or compare quantities in
such figures from how they are drawn in the coordinate system.
Graphical data presentations, such as bar graphs, circle
graphs, and line graphs, are
drawn to scale; therefore, you can read, estimate, or compare data values from
how they are drawn in the graphical data presentation.
For each of Questions 1 through 9, compare Quantity A and Quantity B, using the additional information given, if any. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.
B Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined
from the information given.
Example
1:
Quantity A: 
2 times 6
2 times 6
Quantity B: 2 + 6
Solution:
Quantity A is equal to 12 and Quantity B is equal to 8, so the correct answer
for Example 1 is answer choice A, Quantity A is greater.
Example
2:
Refer to the figure.
Figure for Example 2
Begin skippable figure description.
The figure shows triangle PQR, where P is the
leftmost vertex of the horizontal base PR and vertex Q is above PR.
Point S lies on horizontal base PR and appears to be the midpoint of PR. Line segment QS is drawn from vertex Q
to point S. The lengths of PS and SR appear to be equal.
End skippable figure description.
Quantity A: PS
Quantity B: SR
Solution: The
correct answer for Example 2 is answer choice D. The relationship between PS
and SR cannot be determined from the
information given since equal measures cannot be assumed, even though PS
and SR appear to be equal in the figure.
Question 1.
Refer to the figure.
Figure for Question 1
Begin skippable figure description.
The figure shows two right triangles. One of the triangles
has a leg of length 4 and a leg of length x, and a hypotenuse of length
8. The other triangle has two legs, each of which is of length 4, and a
hypotenuse of length y.
End skippable figure description.
Quantity A: x
Quantity B: y
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 2.
It is given that
open parenthesis, x minus 2y, close
parenthesis, times open parenthesis, x + 2y, close parenthesis, =
4
Quantity A: 
x squared, minus, 4 times the quantity
y squared
x squared, minus, 4 times the quantity
y squared
Quantity B: 8
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 3.
A certain recipe requires 
three halves cups of sugar and makes 2 dozen
cookies.
three halves cups of sugar and makes 2 dozen
cookies.
(1 dozen = 12)
Quantity A: The
amount of sugar required for the same recipe to make 30 cookies
Quantity B: 2 cups
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 4.
A power station is located on the boundary of a square
region that measures 10 miles on each side. Three substations are located
inside the square region.
Quantity A: The sum
of the distances from the power station to each of the substations
Quantity B: 30
miles
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 5.
It is given that
6 is
less than x, which is less than 7,
and
y = 8
Quantity A: 
the fraction x over y
the fraction x over y
Quantity B: 0.85
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 6.
Refer to the figure.
Figure for Question 6
Begin skippable figure description.
The figure accompanying this question consists of a circle
and triangle B O A, where O
is the center of the circle and A and B are points that lie on
the circle. In the triangle, the measure of angle B O A is 60
degrees.
End skippable figure description.
It is given that O
is the center of the circle and the perimeter of triangle B O A
is 6.
Quantity A: The
circumference of the circle
Quantity B: 12
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 7.
Quantity A: The
standard deviation of a set of 5 different integers, each of which is between 0
and 10
Quantity B: The
standard deviation of a set of 5 different integers, each of which is between
10 and 20
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 8.
It is given that x is greater than 1.
Quantity A: 
x times, the fourth power of, open
parenthesis, x squared, close parenthesis
x times, the fourth power of, open
parenthesis, x squared, close parenthesis
Quantity B: 
open parenthesis, x cubed, close
parenthesis, to the third power
open parenthesis, x cubed, close
parenthesis, to the third power
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Question 9.
It is given that x
is not equal to 0.
Quantity A: 
the absolute value of x + the absolute value of negative 2
the absolute value of x + the absolute value of negative 2
Quantity B: 
the absolute value of the quantity x minus 2
the absolute value of the quantity x minus 2
A. Quantity A
is greater.
B. Quantity B
is greater.
C. The two
quantities are equal.
D. The
relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one
that describes the relationship between quantity A and quantity B.
Questions 10 through 25 have several different answer formats, including both selecting answers from a list of answer choices and numeric entry. With each question, answer format instructions will be given.
Numeric Entry Questions
These questions require a number to be entered by marking
entries in a grid according to the following instructions
Your answer may be an integer, a decimal, or a fraction,
and it may be negative.
Equivalent forms of the correct answer, such as 2.5 and
2.50, are all correct. Although fractions do not need to be reduced to lowest
terms, they may need to be reduced to fit in the grid.
Enter the exact answer unless the question asks you to round
your answer.
If a question asks for a fraction, the grid will have a
built-in division slash. Otherwise, the grid will have a decimal point.
The instructions for marking the entries will depend on
whether a regular print or a large print test is being used to record your
answers. If your answers are being entered into a regular print edition of the
test, the following instructions apply:
Start your answer in any column, space permitting. Fill in
no more than one entry in any column of the grid. Columns not needed should be
left blank.
Write your answer in the boxes at the top of the grid and
fill in the corresponding circles. You will receive credit only if your grid
entries are clearly marked, regardless of the number written in the boxes at
the top.
If your answers are being entered into a large print
edition of the test, instead of filling in circles on the grid in steps 5 and
6, you will be asked to circle those entries.
Question 10.
This question has five answer choices, labeled A through E.
Select the best one of the
answer choices given.
The system of equations
7x + 3y = 12, and
3x + 7y = 6
is given.
If x and y satisfy the system of equations given,
what is the value of 
x minus y?
x minus y?
A. 
two thirds
two thirds
B. three halves
three halves
C. 1
D. 4
E. 6
Select and indicate the best one of the
answer choices given.
Question
11.
This question has five answer choices, labeled A through E.
Select all the answer choices
that apply.
In triangle ABC, the measure of angle A is 25°
and the measure of angle B is greater than 90°. Which of the following
could be the measure of angle C?
Indicate all
such measures.
A. 12°
B. 15°
C. 45°
D. 50°
E. 70°
Select and indicate all
the answer choices that apply. The correct answer to a question of this
type could consist of as few as one, or as many as all five of the answer
choices.
Question
12.
This question has five answer choices, labeled A through E.
Select the best one of the
answer choices given.
What is the least integer n such that 
the
fraction with numerator 1, and denominator 2 to the power n is less than 0.001 ?
the
fraction with numerator 1, and denominator 2 to the power n is less than 0.001 ?
A. 10
B. 11
C. 500
D. 501
E. There is no
such least integer.
Select and
indicate the best one of the answer choices given.
Question
13.
This question has five answer choices, labeled A through E.
Select the best one of the answer
choices given.
In the sunshine, an upright pole 12 feet tall is casting a
shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow
10 feet long. If the lengths of the shadows are proportional to the heights of
the poles, what is the height, in feet, of the taller pole?
A. 10
B. 12
C. 14
D. 15
E. 18
Select and indicate the best one of the
answer choices given.
Question
14.
This question has five answer choices, labeled A through E.
Select the best one of the
answer choices given.
If k is the smallest prime number greater than 21
and b is the largest prime number less than 16, then kb =
A. 299
B. 323
C. 330
D. 345
E. 351
Select and indicate the best one of the
answer choices given.
Question
15.
This question does not have any answer choices; it is a
numeric entry question.
To answer this question, enter a number in the answer space
provided. The number entered cannot be a fraction.
The total amount of Judy’s water bill for the last quarter
of the year was $40.50. The bill consisted of a fixed charge of $13.50 plus a
charge of $0.0075 per gallon for the water used in the quarter. For how many
gallons of water was Judy charged for the quarter?
To answer this question, enter a number in the answer space
provided. The number can include a decimal point, and can be positive,
negative, or 0. The number entered
cannot be a fraction.
Question 16.
This question has five answer choices, labeled A through E.
Select the best one of the
answer choices given.
List R: 28, 23, 30, 25, 27
List S: 22, 19, 15, 17, 20
The median of the numbers in list R is how much
greater than the median of the numbers in list S?
A. 8
B. 10
C. 12
D. 13
E. 15
Select and indicate the best one of the
answer choices given.
No comments:
Post a Comment