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To the Student vii

Guide to Using This Book ix

1 The GRE General Math Exam

Exam Structure

Question Types

Multiple-Choice Questions

Multiple-Answer Questions

Quantitative Comparison Questions

Numeric Entry Questions

Topics and Scoring

Calculator Use

Problems

Solutions

2 STRATEGIES AND PROBLEM SOLVING

Test-Taking Strategies

Problem Solving

General Strategies

Use a Diagram

Pay Attention to Units

Use Numbers Instead of Variables

Strategies for Multiple-Choice Questions

Test Answers Starting with C

Use Numbers Instead of Variables

Eliminate Choices, Then Guess

Strategies for Data Interpretation Questions

Estimate, Don't Calculate

Try to Visualize Rather Than Calculate

Strategies for Quantitative Compariso

Questions

Do the Same Thing to Each Quantity

Compare, Don't Calculate

Replace Variables with Numbers

Choose a Good Number for the Whole

Guess

Strategies for Numeric Entry Questions

Don't Simplify Fractions

Strategies for Multiple-Answer Questions

Problems

Solutions

3 NUMBERS

Numbers

Operations

Basic Properties

Absolute Value

Order of Operations: PEMDAS

Problems

Basic Problems

GRE Problems

Integers

Consecutive Integers

Problems

Basic Problems

GRE Problems

Number Theory

Divisibility Rules

Odds and Evens

Prime Numbers

Greatest Common Factor and Lowest Common Multiple

Problems

Basic Problems

GRE Problems

Fractions

Equivalent Fractions

Mixed Fractions

Operations on Fractions

Simplifying Complex Fractions

Solving Fraction Problems with Diagrams

Problems

Basic Problems

GRE Problems

Decimals

Converting Between Fractions and Decimals

Comparing Decimal Numbers

Operations on Decimals

Multiplying or Dividing by Problems

Basic Problems

GRE Problems

Radicals and Exponents

Simplifying Radicals

Defining Powers

Rules for Working with Powers

Problems

Basic Problems

GRE Problems

Solutions

Numbers

Integers

Number Theory

Fractions

Decimals

Radicals and Exponents

4 ALGEBRA

Polynomials and Factoring

Problems

Basic Problems

GRE Problems

Solving Equations

Solving Systems of Linear Equations

Problems

Basic Problems

GRE Problems

Inequalities

Problems

Basic Problems

GRE Problems

Functions

Problems

Basic Problems

GRE Problems

Solutions

Polynomials and Factoring

Solving Equations

Inequalities

Functions

5 DATA ANALYSIS

Percentages

Problems

Averages

Problems

Charts and Graphs

Problems

Counting

Venn Diagrams

Partitions

Counting Commas

Problems

Basic Problems

GRE Problems

Probability

Problems

Solutions

Percentages

Averages

Charts and Graphs

Counting

Probability

6 GEOMETRY

Perimeter

Problems

Basic Problems

GRE Problems

Angles

Problems

Basic Problems

GRE Problems

Triangles

Triangle Inequality

Pythagorean Theorem

Problems

Basic Problems

GRE Problems

Polygons

Regular Polygons

Quadrilaterals

Problems

Basic Problems

GRE Problems

Area

Connecting Area and Perimeter

Problems

Basic Problems

GRE Problems

Surface Area and Volume

Surface Area

Volume

Problems

Basic Problems

GRE Problems

Solutions

Perimeter

Angles

Triangles

Polygons

Area

Surface Area and Volume

7 SAMPLE EXAMS AND SOLUTIONS

Sample Test 1

Sample Test 2

Answers and Complete Solutions to Sample Exams

Appendix: Suggested Facts to Memorize

Index

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