The gre anlytycal writting section 2 pptx

The Quantitative section covers four types of math: arithmetic, algebra, geometry, and data analysis.Arithmetic The types of arithmetic concepts you should prepare for in the Quantitativ

The Quantitative section covers four types of math: arithmetic, algebra, geometry, and data analysis.

Arithmetic

The types of arithmetic concepts you should prepare for in the Quantitative section include the following:

■ arithmetic operations—addition, subtraction, multiplication, division, and powers of real numbers

■ operations with radical expressions

■ the real numbers line and its applications

■ estimation, percent, and absolute value

■ properties of integers (divisibility, factoring, prime numbers, and odd and even integers)

Algebra

The types of algebra concepts you should prepare for in the Quantitative section include the following:

■ rules of exponents

■ factoring and simplifying of algebraic expressions

■ concepts of relations and functions

■ equations and inequalities

■ solving linear and quadratic equations and inequalities

■ reading word problems and writing equations from assigned variables

■ applying basic algebra skills to solve problems

Geometry

The types of geometry concepts you should prepare for in the Quantitative section include the following:

■ properties associated with parallel lines, circles, triangles, rectangles, and other polygons

■ calculating area, volume, and perimeter

■ the Pythagorean theorem and angle measure

There will be no questions regarding geometric proofs

Data Analysis

The type of data analysis concepts you should prepare for in the Quantitative section include the following:

 T h e Tw o Ty p e s o f Q u a n t i t a t i v e S e c t i o n Q u e s t i o n s

As stated earlier, the quantitative questions on the GRE will be either quantitative comparison or problem-solving questions Quantitative comparison questions measure your ability to compare the relative sizes of two quantities or to determine if there is not enough information given to make a decision Problem-solv-ing questions measure your ability to solve a problem usProblem-solv-ing general mathematical knowledge This knowl-edge is applied to reading and understanding the question, as well as to making the needed calculations

Quantitative Comparison Questions

Each of the quantitative comparison questions contains two quantities, one in column A and one in column B Based on the information given, you are to decide between the following answer choices:

a The quantity in column A is greater.

b The quantity in column B is greater.

c The two quantities are equal.

d The relationship cannot be determined from the information given.

Problem-Solving Questions

These questions are essentially standard, multiple-choice questions Every problem-solving question has one

correct answer and four incorrect ones Although the answer choices in this book are labeled a, b, c, d, and

e, keep in mind that on the computer test, they will appear as blank ovals in front of each answer choice

Spe-cific tips and strategies for each question type are given directly before the practice problems later in the book This will help keep them fresh in your mind during the test

 A b o u t t h e P r e t e s t

The following pretest will help you determine the skills you have already mastered and what skills you need

to improve After you check your answers, read through the skills sections and concentrate on the topics that gave you trouble on the pretest The skills section is followed by 80 practice problems that mirror those found

on the GRE Make sure to look over the explanations, as well as the answers, when you check to see how you did When you complete the practice problems, you will have a better idea of how to focus on your studying for the GRE

 P r e t e s t

Directions: In each of the questions 1–10, compare the two quantities given Select the appropriate choice

for each one according to the following:

a The quantity in Column A is greater.

b The quantity in Column B is greater.

c The two quantities are equal.

d There is not enough information given to determine the relationship of the two quantities.

z + 3 = 8

2. Ida spent $75 on a skateboard and an additional

$27 to buy new wheels for it She then sold the

skateboard for $120

the money Ida received in excess

3.

x°

z°

l1

ANSWER SHEET

Column A Column B

6. 1

2 + 3

2

+ +

3 5



7.

the area of shaded

integers and R  S  T.

9.

rectangular region

xy2  0

2

R V

S T

U

4 3

The length of the sides in

squares PQRV and VRST is 6.

Directions: For each question, select the best answer choice given.

11. (42 – 6)(25 + 11)

a 6

b 18

c 36

d 120

e 1,296

12 What is the remainder when 63is divided by 8?

a 5

b 3

c 2

d 1

e 0

13.

In the figure above, BP = CP If x = 120˚, then y =

a 30°.

b 60°.

c 75°.

d 90°.

e 120°.

14 If y = 3x and z = 2y, then in terms of x, x + y + z =

a 10x.

A

D

P

x°

y°

The rectangular rug shown in the figure above has a floral border 1 foot wide on all sides What is the area, in square feet, of the portion of the rug that excludes the border?

a 28

b 40

c 45

d 48

e 54

16 Ifd 7n–– 3n d = 1, which of the following must be true about the relationship between d and n?

a n is 4 more than d

b d is 4 more than n

c n is 73of d

d d is 5 times n

e d is 2 times n

17 How many positive whole numbers less than 81 are NOT equal to squares of whole numbers?

a 9

b 70

c 71

d 72

e 73

9 ft.

6 ft.