CliffsNotes® Math Review for Standardized Tests, 2nd Edition

Table of Contents

Introduction
Why You Need This Guide
What This Guide Contains
Range of Difficulty and Scope
A General Guideline
How to Use This Guide
Part I: Basic Skills Review
Chapter 1: Arithmetic and Data Analysis
Diagnostic Test
Questions
Answers
Arithmetic Review
Preliminaries
Properties of Basic Mathematical Operations
Place Value
Expanded Notation
Grouping Symbols: Parentheses, Brackets, Braces
Rounding Off
Signed Numbers: Positive Numbers and Negative Numbers
Divisibility Rules
Common Fractions
Equivalent Fractions
Adding and Subtracting Fractions
Adding and Subtracting Mixed Numbers
Multiplying Fractions and Mixed Numbers
Dividing Fractions and Mixed Numbers
Simplifying Fractions and Complex Fractions
Decimals
Percentage
Powers and Exponents
Square Roots and Cube Roots
Data Analysis Review
Probability
Combinations and Permutations
Statistics
Standard Deviation
Number Sequences
Measures
Arithmetic and Data Analysis Review Test
Questions
Answers
Arithmetic Glossary of Terms
Chapter 2: Algebra
Diagnostic Test
Questions
Answers
Algebra Review
Some Basic Language
Basic Terms in Set Theory
Variables and Algebraic Expressions
Evaluating Expressions
Equations
Ratios and Proportions
Factoring
Solving Quadratic Equations
Algebraic Fractions
Operations with Algebraic Fractions
Inequalities
Absolute Value
Analytic Geometry
Roots and Radicals
"False" Operations
Algebra Review Test
Questions
Answers
Algebra Glossary of Terms
Chapter 3: Geometry
Geometry Diagnostic Test
Questions
Answers
Geometry Review
Angles
Types of Angles
Pairs of Angles
Lines
Types of Lines
Polygons
Triangles
Types of Triangles by Sides
Types of Triangles by Angles
Facts about Triangles
Pythagorean Theorem
Special Triangles
Quadrilaterals
Types of Quadrilaterals
Sum of the Interior Angles of a Polygon
Perimeter and Area of Polygons
Circles
Parts of a Circle
Circumference and Area of a Circle
Angles in a Circle
Concentric Circles
Tangents to a Circle
Congruence and Similarity
Volumes of Solid Figures
Surface Areas of Solid Figures
Geometry Review Test
Questions
Answers
Geometry Glossary of Terms
Chapter 4: Word Problems
Diagnostic Test
Questions
Word Problems Review
Solving Technique
Key Words and Phrases
Simple Interest
Compound Interest
Ratio and Proportion
Motion
Percent
Percent Change
Number
Age
Geometry
Work
Mixture
Word Problems Review Test
Questions
Answers
Word Problems Glossary of Terms
Part II: Strategies and Practice
Chapter 5: Mathematical Ability
Mathematical Ability Strategies
Information Provided in the Test Booklet
Suggested Approach with Examples
A Patterned Plan of Attack
Mathematical Ability Practice
Arithmetic
Algebra
Geometry
Procedure Problems
Answer Key for Mathematical Ability Practice
Mathematical Ability Answers and Explanations
Arithmetic
Algebra
Geometry
Procedure Problems
Chapter 6: Quantitative Comparison
Quantitative Comparison Strategies
Directions
Analysis
Suggested Approach with Examples
A Patterned Plan of Attack
Quantitative Comparison Practice
Directions
Arithmetic and Data Analysis
Algebra
Geometry
Answer Key for Quantitative Comparison Practice
Quantitative Comparison Answers and Explanations
Arithmetic and Data Analysis
Algebra
Geometry
Chapter 7: Data Sufficiency
Data Sufficiency Strategies
Directions
Analysis
Suggested Approach with Examples
A Patterned Plan of Attack
Data Sufficiency Practice
Directions
Arithmetic
Algebra
Geometry
Answer Key for Data Sufficiency Practice
Data Sufficiency Answers and Explanations
Arithmetic
Algebra
Geometry
Final Suggestions