Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018)

Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018) Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018) Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018) Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018) Preview GRE Math Workbook, 11th Edition by Kaplan Publishing (2018)

GRE® MATH WORKBOOK

ELEVENTH EDITION

Part One: Getting Started

Chapter 1: Introduction to GRE Math

Understanding the GRE Quantitative Reasoning SectionsMST Mechanics

Question TypesQuantitative ComparisonProblem Solving

Data InterpretationPart Two: Quantitative Reasoning

Chapter 2: Quantitative Comparison

Quantitative ComparisonQuantitative Comparison QuestionsQuantitative Comparison Practice SetQuantitative Comparison Practice Set: Answer KeyQuantitative Comparison Practice Set: Answers andExplanations

Chapter 3: Problem Solving

Problem Solving Questions (Single Answer)Problem Solving (All-That-Apply)

Problem Solving Questions (Numeric Entry)Problem Solving Practice Set

Problem Solving Practice Set: Answer KeyProblem Solving Practice Set: Answers and ExplanationsChapter 4: Data Interpretation

Data Interpretation Questions (One Answer)Data Interpretation Questions (All-That-Apply)

Data Interpretation Questions (Numeric Entry)

Data Interpretation Practice Set

Data Interpretation Practice Set: Answer Key

Data Interpretation Practice Set: Answers and ExplanationsChapter 5: Quantitative Reasoning Practice

Quantitative Reasoning Practice Set 1

Quantitative Reasoning Practice Set 1 Answer Key

Quantitative Reasoning Practice Set 1 Answers and

Explanations

Quantitative Reasoning Practice Set 1 Diagnostic ToolQuantitative Reasoning Practice Set 2

Quantitative Reasoning Practice Set 2 Answer Key

Quantitative Reasoning Practice Set 2 Answers and

Explanations

Quantitative Reasoning Practice Set 2 Diagnostic ToolQuantitative Reasoning Practice Set 3

Quantitative Reasoning Practice Set 3 Answer Key

Quantitative Reasoning Practice Set 3 Answers and

Explanations

Quantitative Reasoning Practice Set 3 Diagnostic ToolQuantitative Reasoning Practice Set 4

Quantitative Reasoning Practice Set 4 Answer Key

Quantitative Reasoning Practice Set 4 Answers and

Explanations

Quantitative Reasoning Practice Set 4 Diagnostic ToolQuantitative Reasoning Practice Set 5

Quantitative Reasoning Practice Set 5 Answer Key

Quantitative Reasoning Practice Set 5 Answers and

Explanations

Quantitative Reasoning Practice Set 5 Diagnostic ToolQuantitative Reasoning Practice Set 6

Quantitative Reasoning Practice Set 6 Answer

KeyQuantitative Reasoning Practice Set 6 Answer KeyQuantitative Reasoning Practice Set 6 Answers and

Explanations

Quantitative Reasoning Practice Set 6 Diagnostic ToolPart Three: Math Content Review

Chapter 6: Arithmetic

Arithmetic

Real Numbers

Number Operations

Number Operations Exercises

Number Operations Exercises Answer Key

Number Properties

Number Properties Exercises

Number Properties Exercises Answer Key

Averages (Arithmetic Means)

Averages (Arithmetic Means) Exercises

Averages (Arithmetic Means) Exercises Answer Key

Percents Exercises Answer Key

Powers and Roots

Powers and Roots Exercises

Powers and Roots Exercises Answer Key

Chapter 7: Algebra

Understanding Algebra

Operations with Algebraic Expressions

Operations with Algebraic Expressions Exercises

Operations with Algebraic Expressions Exercises Answer KeyRules of Exponents

Rules of Exponents Exercises

Rules of Exponents Exercises Answer Key

Solving Linear Equations

Solving Linear Equations Exercises

Solving Linear Equations Exercises Answer Key

Quadratic Equations

Quadratic Equations Exercises

Quadratic Equations Exercises Answer Key

Solving Inequalities

Solving Inequalities Exercises

Solving Inequalities Exercises Answer Key

Translation into Algebra

Translation into Algebra Exercises

Translation into Algebra Exercises Answer Key

Functions

Functions Exercises

Functions Exercises Answer Key

Coordinate Geometry

Coordinate Geometry Exercises

Coordinate Geometry Exercises Answer Key

Graphs of Functions

Graphs of Functions Exercises

Graphs of Functions Exercises Answer Key

Chapter 8: Geometry

Understanding Geometry

Lines and Angles

Lines and Angles Exercises

Lines and Angles Exercises Answer Key

Triangles and Pythagorean Theorem

Triangles and Pythagorean Theorem Exercises

Triangles and Pythagorean Theorem Exercises Answer KeyPolygons

Multiple Figures Exercises

Multiple Figures Exercises Answer Key

Three-Dimensional Figures (Uniform Solids)

Three-Dimensional Figures (Uniform Solids) ExercisesThree-Dimensional Figures (Uniform Solids) ExercisesAnswer Key

Chapter 9: Data Interpretation

Understanding Data Analysis

Counting Methods

Counting Methods Exercises

Counting Methods Exercises Answer Key

Descriptive Statistics

Descriptive Statistics Exercises

Descriptive Statistics Exercises Answer Key

Data Graphs and Tables

Data Graphs and Tables Exercises

Data Graphs and Tables Exercises Answer Key

Probability

Probability Exercises

Probability Exercises Answer Key

Part Four: Advanced Math Practice

Chapter 10: High-Difficulty Question Sets

Introduction to High-Difficulty Question Sets

Advanced Math Questions Practice Set 1

Advanced Math Questions Practice Set 1 Answer KeyAdvanced Math Questions Practice Set 1 Answers andExplanations

Advanced Math Questions Practice Set 2

Advanced Math Questions Practice Set 2 Answer KeyAdvanced Math Questions Practice Set 2 Answers andExplanations

Advanced Math Questions Practice Set 3

Advanced Math Questions Practice Set 3 Answer KeyAdvanced Math Questions Practice Set 3 Answers andExplanations

Advanced Math Questions Practice Set 4

Advanced Math Questions Practice Set 4 Answer KeyAdvanced Math Questions Practice Set 4 Answers andExplanations

Part Five: GRE Resources

Appendix: Math Reference

GRE® is a registered trademark of the Educational Testing Service, which neither sponsors nor endorses this product.

This publication is designed to provide accurate and authoritative information in regard to the subject matter covered It is sold with the understanding that the publisher is not engaged in

rendering legal, accounting, or other professional service If legal advice or other expert assistance

is required, the services of a competent professional should be sought.

retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of the publisher.

Special thanks to the team that made this book possible:

Arthur Ahn, Matthew Belinkie, Shannon Berning, Lauren T Bernstein, KimBowers, Gerard Cortinez, Elisa Davis, Lola Disparte, Boris Dvorkin, JohnEvans, Paula Fleming, Darcy Galane, Joanna Graham, Adam Grey, AllisonHarm, Jack Hayes, Adam Hinz, Gar Hong, Sunny Hwang, Cinzia Iacono, AviLidgi, Kate Lopaze, Keith Lubeley, TJ Mancini, Jennifer Moore, Jason Moss,Walt Niedner, Robert Reiss, S Ross, Derek Rusnak, Emily Sachar, StephanieSchrauth, Sheryl Stebbins, Glen Stohr, Sascha Strelka, Gene Suhir, MarthaTorres, Liza Weale, Lee A Weiss, and many others who have contributedmaterials and advice over the years

How to Use This Book

Kaplan has prepared students to take standardized tests for more than 75years Our team of teachers and researchers knows more about

preparation for the GRE than anyone else, and you’ll find Kaplan’s

accumulated knowledge and experience throughout this book The GRE is

a standardized test, so every test covers the same content in roughly thesame way This is good news for you; it means that the best way to prepare

is to focus on the sort of questions you are likely to see on Test Day Themain focus of this book is on strategic reviews, exercises, and practice setswith explanations that will help you brush up on any math skills you mayhave forgotten There is a lot of math to absorb, and it’s hard to do it all atonce Instead, plan out a study schedule and work through this book overthe course of several weeks

GETTING STARTED

In Part 1 of this book, “Getting Started,” we’ll provide you with backgroundinformation on the Quantitative Reasoning section of the test, what it

covers, and how it’s organized

QUANTITATIVE REASONING SECTION

The Quantitative Reasoning section of the GRE contains three main

question types: Quantitative Comparison, Problem Solving, and Data

Interpretation Part 2 of this book covers these types with strategies andsample questions Your focus here should be to familiarize yourself withthe question types so you won’t be trying to figure out how to approachthem on Test Day And practice, practice, practice!

MATH CONTENT REVIEW

Once you have the big picture, focus on the content Part 3 of this book,

“Math Content Review,” gives you a complete tour of the math that youwill see on Test Day The material in the math content review is dividedinto particular subjects Each subject begins with a review, followed bypractice exercises organized by level of difficulty This structure makes iteasy for you to pinpoint the math concepts you need to review and quicklyget your skills up to speed

We suggest that you read the content review that introduces a section andthen try some of the exercises After checking your answers to those

exercises, decide whether you need to spend more time with the contentreview before completing the sets of exercises Keep track of your progress

as you proceed with the content review Not only will this build your skills,

it will increase your confidence leading up to Test Day

If you find that you would like access to more of Kaplan’s practice testsand quizzes, as well as in-depth instruction on the question types andstrategies, look into the variety of course options available at

kaptest.com/GRE

If you have questions about what you’re studying, ask our expert GREfaculty on our Facebook page: www.facebook.com/KaplanGradPrep Thanks for choosing Kaplan We wish you the best of luck on your journey

to graduate school

For more GRE® prep, Kaplan offers a range of print and digital products,available in stores and online, including:

To learn more about Kaplan’s comprehensive prep courses for the GRE®,please visit kaptest.com/GRE

Kaplan GRE® Prep Plus with 3 Practice Tests and 500-Question QbankKaplan GRE® Prep with 2 Practice Tests

GRE® Verbal Workbook

Kaplan GRE® Vocabulary Flashcards

Part One

GETTING STARTED

Chapter 1

Introduction to GRE Math

Understanding the GRE Quantitative Reasoning Sections

The Quantitative Reasoning sections of the GRE test your ability to reasonquantitatively—to read a math problem, understand what it is asking, andsolve it The basic math disciplines covered on the GRE are arithmetic,algebra, geometry, and data interpretation In this way, the GRE has topicssimilar to those covered on the SAT There is no trigonometry or calculus

on the GRE The aim of the test is to provide an accurate indication of yourability to use your knowledge of the fundamental topics and apply

reasoning skills to the various question types The goal is to make the test

a true indicator of your ability to apply given information, think logically,and draw conclusions These are skills you will need at the graduate level

of study

The GRE contains two math sections, each having 20 questions The

allotted time for each section is 35 minutes To perform well on the

Quantitative Reasoning sections, you want to perform the fundamental

math skills efficiently and apply your reasoning skills at the same time toanswer as many questions correctly as possible The various question

types will be explained in detail in part 2 of this book The foundations ofarithmetic, algebra, geometry, and data interpretation will be reviewed inpart 3 of this book In every chapter, there will be plenty of opportunities topractice and check your answers

MST Mechanics

The GRE is a multi-stage test (MST) While working within a section of thetest during the time allotted, you are allowed to skip questions and return

to them as long as time remains for the section The test is

computer-based with built-in capabilities such as the “Mark” button to indicate aquestion you want to examine later (within the time allowed for that

section) and the “Review” button to see your progress on the entire set ofquestions in a section, an optional time display, and an on-screen

calculator As you prepare for Test Day, always consider how you plan tomanage your time for each section and how these computer capabilitiescan help you

On the GRE, every question has the same value So you do not want towaste time dwelling on one question while you may be able to answerseveral others correctly This is one way the Mark and Review buttons canassist you in managing your time You can turn the time display on or off asyou wish Some test takers will find it helpful; others will find it annoying

The availability of an on-screen calculator is something you will want toconsider as you practice for the test Questions in the Quantitative

Reasoning sections are not designed to be calculator-intensive If you findyourself doing a long calculation to answer a question, you may be missingthe reasoning aspect completely That means most questions on the GREare written to be answered without a calculator You will want to reserve

the calculator for an isolated calculation or a quick check of an answer, butnot use it as your main resource for the questions To help you plan for thebest use of the on-screen calculator, an image of it is shown below Noticethat it is a simple, four-function calculator with a square root key and

change of sign key

As you review mathematical foundations and practice answering the

various question types in this workbook, use your own calculator

strategically This will lead you to rely on your critical thinking skills

Quantitative Comparison

Problem Solving

Data Interpretation Number of

Questions

Approx 7–8 Approx 9–10 Approx 3

Time per Question 1.5 minutes 1.5–2 minutes 2 minutes

Quantitative Comparison

Problem Solving

Data Interpretation

Quantitative Comparison

A Quantitative Comparison question will not ask you to identify a

particular value as the answer, but it will ask you to make a comparisonbetween two quantities and identify a relationship between them The fouranswer choices for a Quantitative Comparison are always the same—samewording, same order Because the answer choices are consistent, you willbecome familiar with them quickly and be able to concentrate on the

comparison at hand

The Kaplan Method for answering Quantitative Comparison questions andstrategies to help solve them efficiently can be found in chapter 2

Problem Solving

A Problem Solving question may appear as a math problem, or it mayappear as a word problem dealing with a real-world situation Thesequestions deal with percents, ratios, and other proportions; linearand quadratic equations; basic probability and statistics; and two- andthree-dimensional geometry

The Kaplan Method for answering Problem Solving questions and

strategies to help solve them efficiently can be found in chapter 3

Data Interpretation

Questions that require you to interpret data will be based on informationlocated in graphs or tables You will see a set of three or four questionsbased on each data presentation Frequently, you will have to use

information from more than one data source to answer a question DataInterpretation questions need to be answered thoughtfully, only after youhave taken time to analyze the contents of each graph or table of data.The Kaplan Method for answering Data Interpretation questions and

strategies to help solve them efficiently can be found in chapter 4