最新：新gre 数学样题及解析
GRE® Revised General Test: Quantitative Reasoning Sample Questions
Figures
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text describing that figure. Readers using visual presentations of the figures may choose to skip
parts of the text describing the figure that begin with “Begin skippable figure description” and
end with “End skippable figure description.”
Mathematical Equations and Expressions
This document includes mathematical equations and expressions. Some of the
mathematical equations and expressions are presented as graphics. In cases where a
mathematical equation or expression is presented as a graphic, a verbal presentation is also given
and the verbal presentation comes directly after the graphic presentation. The verbal
presentation is in green font to assist readers in telling the two presentationmodes
apart. Readers using audio alone can safely ignore the graphical presentations, and readers
using visual presentations may ignore the verbal presentations.
Introduction
The revised Quantitative Reasoning section contains four types of questions:
Multiplechoice Questions — Select One Answer Choice
Multiplechoice Questions — Select One or More Answer Choices
Numeric Entry Questions
Quantitative Comparison Questions
Each question appears either independently as a discrete question or as part of a set of
questions called a Data Interpretation set. All of the questions in a Data Interpretation set are
based on the same data presented in tables, graphs, or other displays of data. Below are
descriptions, directions, and samples of each type of question.
MultipleChoice Questions — Select One Answer Choice
These questions are multiplechoice questions that ask you to select only one answer
choice from a list of five choices.
Sample Questions
Directions: Select a single answer choice.
Sample question 1 below is based on figure 1.
Figure 1
Begin skippable figure description.
Figure 1 is a circle with center C.Two diameters of the circle are drawn, dividing the circle
into 4 sectors. Two nonadjacent sectors are shaded, and the central angle of one of the unshaded
sectors measures 160 degrees.
End skippable figure description.
1. Figure 1 above shows a circle with center C and radius 6. What is the sum of the areas
of the two shaded regions?
A. 7.5 pi
Sample question 2 below is based on figure 2.
Figure 2
Begin skippable figure description.
Figure 2 shows the graph in the x y plane of the function f of x = the absolute value of 2x,
end absolute value, + 4. There are equally spaced tick marks along the x axis and along the y
axis. The first tick mark to the right of the origin, and the first tick mark above the origin, are
both labeled 1.
The graph of the function f is in the shape of the letter V. It is above the x axis and is symmetric
with respect to the y axis.
The lowest point on the graph of f is the point 0 comma 4 on the y axis.
Going leftward from the point 0 comma 4 the graph of fis a line that slants upward, passing
through the point negative 2 comma 8.
Going rightward from the point 0 comma 4 the graph of f is a line that slants upward, passing
through the point 2 comma 8.
End skippable figure description.
2. Figure 2 above shows the graph of a function f, defined by f of x
= the absolute value of 2x, end absolute value, + 4 for all numbers x. For which of the following
functions g defined for all numbers x does the graph of g intersect the graph of f?
A. g of x = x minus 2
B. g of x = x + 3
C. g of x = 2x minus 2
D. g of x = 2x + 3
E. g of x = 3x minus 2
Answer: E ( g of x = 3x minus 2)
MultipleChoice Questions — Select One or More Answer Choices
These questions are multiplechoice questions that ask you to select one or more answer
choices from a list of choices. A question may or may not specify the number of choices to select.
Sample Questions
Directions: Select one or more answer choices according to the specific question
directions.
If the question does not specify how many answer choices to select,
select all that apply.
The correct answer may be just one of the choices or may be as
many as all of the choices, depending on the question.
No credit is given unless you select all of the correct choices and no
others.
If the question specifies how many answer choices to select, select
exactly that number of choices.
1. Each employee of a certain company is in either Department X or Department Y, and
there are more than twice as many employees in Department X as in Department Y. The average
(arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the
employees in Department Y. Which of the following amounts could be the average salary for all of
the employees in the company?
Indicate all such amounts.
A. $26,000
B. $28,000
C. $29,000
D. $30,000
E. $31,000
F. $32,000
G. $34,000
Answer: A ($26,000) and B ($28,000)
2. If f, g, and h are positive integers, f is a factor of g, and g is a factor of h, which of the
following statements must be true?
Indicate all such statements.
A. f is a factor of g squared.
B. f is a factor of gh.
C. f is a factor of h minus g.
Answer: A (f is a factor of g squared), B (f is a factor of gh.), and C (f is a factor of
h minus g)
Numeric Entry Questions
Questions of this type ask you either to enter the answer as an integer or a decimal in a
single answer box or to enter it as a fraction in two separate boxes — one for the numerator and
one for the denominator. In the computeradministered test, the computer mouse and keyboard
are used to enter the answer.
Sample Questions
Directions: Enter your answer in the answer box(es) below the question.
Equivalent forms of the correct answer, such as 2.5 and 2.50, are all
correct. Fractions do not need to be reduced to lowest terms.
Enter the exact answer unless the question asks you to round your
answer.
1. If x = 10 to the power negative 1, what is the value of
open parenthesis, x + the fraction 1 over x, close parenthesis, times, open
parenthesis, 1 over x, close parenthesis?
Answer Box
Answer: 101
2. A university admitted 100 students who transferred from other institutions. Of these
students, 34 transferred from twoyear community colleges, 25 transferred from private
fouryear institutions, and the rest transferred from public fouryear institutions. If two different
students are to be selected at random from the 100 students, what is the probability that both
students selected will be students who transferred from twoyear community colleges?
Give your answer as a fraction.
Fraction answer boxes
Answer: 17 over 150 (or any equivalent fraction).
Quantitative Comparison Questions
Questions of this type ask the examinee to compare two quantities — Quantity A and
Quantity B — and then determine which of four statements describes the comparison.
Sample Questions
Directions: Compare Quantity A and Quantity B, using the additional information given,
if any. Select one of the following four answer choices.
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.
A symbol that appears more than once in a question has the same
meaning throughout the question.
1.
Quantity A: x squared + 1
Quantity B: 2x, minus 1
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.
Answer: A (Quantity A is greater.)
Sample question 2 below is based on figure 3.
Figure 3
Begin skippable figure description.
Figure 3 shows parallelogram RSTU. Sides R U and S T are horizontal, with S T above, and
slightly to the left of side R U. Diagonal S U, which extends from vertex S at the upper left of the
parallelogram to vertex U at the lower right of the parallelogram, divides the parallelogram into
two triangles, R S U and U S T; and the angle at vertex S into 2 adjacent angles R S U and U S T.
The measure of angle R S U is x degrees, and the measure of angle U S T is y degrees.
End skippable figure description.
2.
It is given that RSTU is a parallelogram.
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.
Answer: D (The relationship cannot be determined from the information given.)
Data Interpretation Sets
Data Interpretation questions are grouped together and refer to the same table, graph, or
other data presentation. These questions ask you to interpret or analyze the given data. The
types of questions may be Multiplechoice (both types) or Numeric Entry.
Sample Questions
Directions: Questions 1 to 3 are based on the data in the following table.
The table shows the percent change in monthly value of inventory at six businesses from
April to June.
Business
Percent Change from April
to May
Percent Change from May
to June
G +6 +8
K +5 minus 5
M +2 +12
R +8 minus 5
V +14 0
Z +2 minus 10
Note: Inventory values are determined at the end of each month.
1. If the value of inventory at Business K was $30,000 for April, what was the value of
inventory at Business K for June?
A. $22,500
B. $29,925
C. $30,000
D. $33,000
E. $33,075
Answer: B ($29,925)
2. At Business M, the value of inventory for May was what percent of the value of
inventory for June?
Give your answer to the nearest 0.1 percent.
% Answer box followed by percent sign
Answer: 89.3
3. For which of the six businesses shown was the percent change in value of inventory
from April to June greatest?
A. G
B. K
C. M
D. R
E. V
Answer: A (Business G)
Directions: Questions 4 to 6 are based on the data shown in figure 4.
Figure 4
Begin skippable figure description.
The title of the data in figure 4 is “Workforce of Country X.” The data consists of a pie chart
and a bar graph. The title of the pie chart is “Percent Distribution of Workforce by Employment
Sector” and the title of the bar graph is “Workforce in the Service Sector by Area and Gender.”
The percent distribution of the workforce by employment sector in the pie chart is as follows:
Professional Sector 20%.
Service Sector 15%
Construction and Maintenance Sector 10%
Production and Transportation Sector 15%
Other Sector 15%
Sales Sector 10%
Management Sector 15%
The bar graph shows the number of males and females in each of the five service sectors. The
bar graph has horizontal bars. The graph has a horizontal axis labeled Millions of People, with
vertical gridlines in multiples of 0.5 million, from 0.5 million to 4 million. Five Service Sector
areas are listed along the vertical axis. The data in the bar graph is as follows:
Health Care Sector, 0.5 million males and 2.75 females
Protective Service Sector, a little under 2 million males and 0.5 million females
Food Service Sector, a little under 3 million males and a little under 4 million females
Personal Care Sector, a little over 0.5 million males and about 2.75 million females
Other Sector, a little under 3 milllion males and a little under 2 million females
End skippable figure description.
4. Approximately how many people are in the production and transportation sector of the
workforce?
A. 9 million
B. 12 million
C. 15 million
D. 18 million
E. 21 million
Answer: E (21 million)
5. In the workforce, the ratio of the number of males to the number of females is the
same for the sales sector as it is for the protective service area of the service sector. Which of the
following is closest to the number of females in the sales sector?
A. 2.9 million
B. 3.6 million
C. 10.4 million
D. 11.1 million
E. 14.0 million
Answer: A (2.9 million)
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