GRE数学备考策略与模拟试题

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 Comparison
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