Master Key to the GRE Vol. 3

Word Problems

Need help with GRE Word Problems? You've come to the right place.

Volume 3 of Master Key to the GRE is the only guide to GRE math that will teach you everything you need to know about Percents, Ratios & Proportions, Algebraic Word Problems, Rates, and Overlapping Sets.

Samples

Chapter 5 Preview

Overlapping Sets

Exponential Growth

Word Problems Preview

Video Solutions for Practice Questions

Table of Contents

Chapter 1

Percents

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  • 1
    Introduction
  • 2
    Taking a Percent of a Number
  • 3
    Calculating a Percent Change
  • 4
    Original Value vs. New Value
  • 5
    Consecutive Percents
  • 6
    PUQ’s Percents with Unspecified Quantities
  • 7
    “Part-to-Whole” Percents
  • 8
    Percent “Greater or Less Than”
  • 9
    Summary

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  • 10
    Interest Problems
  • 11
    Alterations
  • 12
    Mixtures
  • 13
    The Weighted Average Shortcut

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  • 14
    Drills
  • 15
    Problem Sets
  • 16
    Solutions
  • 17
    Video Solutions

Chapter 2

Algebraic Word Problems

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  • 1
    Introduction
  • 2
    Translations
  • 3
    Percents
  • 4
    Tricky Translations
  • 5
    Inequalities
  • 6
    Stories
  • 7
    Age Problems
  • 8
    Quantity Mixtures
  • 9
    FUQ’s
  • 10
    Asswholes

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  • 11
    Linear Growth
  • 12
    Integer Constraints

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  • 13
    Translation Drills
  • 14
    Problem Sets
  • 15
    Solutions
  • 16
    Video Solutions

Chapter 3

Ratios & Proportions

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  • 1
    Introduction
  • 2
    Simplifying Ratios
  • 3
    Algebraic Ratios
  • 4
    “Part-to-Whole” vs. “Part-to-Part” Ratios
  • 5
    The Unknown Multiplier
  • 6
    “Part-to-Part” Ratios
  • 7
    “Part-to-Whole” Ratios
  • 8
    Comparing Apples to Oranges
  • 9
    Inverse Proportions

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  • 10
    Independent Ratios, Different Multipliers
  • 11
    Overlapping Ratios
  • 12
    Altered Ratios

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  • 13
    Picking Numbers
  • 14
    Problem Sets
  • 15
    Solutions
  • 16
    Video Solutions

Chapter 4

Rates

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  • 1
    Introduction
  • 2
    Using Rate Tables
  • 3
    Quantity Cost Problems
  • 4
    Proportions
  • 5
    Converting Units
  • 6
    Working Together Problems
  • 7
    Geometric Rates
  • 8
    Asswholes

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  • 9
    Travelers & Trips Altered Rates
  • 10
    The Average Rate Trap
  • 11
    Exponential Growth

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  • 12
    Problem Sets
  • 13
    Solutions
  • 14
    Video Solutions

Chapter 5

Overlapping Sets

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  • 1
    Introduction
  • 2
    The Overlapping Sets Table
  • 3
    Labeling Tables
  • 4
    PUQ’s and FUQ’s
  • 5
    Venn Diagrams
  • 6
    The Overlapping Sets Formula

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your

  • 7
    Algebraic Relationships
  • 8
    Hidden Information
  • 9
    Maximization Problems
  • 10
    3-Part Overlapping Sets
  • 11
    Intersections & Unions

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  • 12
    Problem Sets
  • 13
    Solutions
  • 14
    Video Solutions

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