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GRE All the Quant: Effective Strategies and Practice from 99th Percentile Instructors, 6th Edition (2023)

GRE All the Quant: Effective Strategies and Practice from 99th Percentile Instructors, 6th Edition (2023) gives you access to expert-reviewed practice exams that align with official exam standards.

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    All The Quant GRE ® is a registered trademark of Educational Testing Service (ETS), which is not affiliated with Kaplan and was not involved in the production of, and does not endorse, this product..

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    GRE All The Quant Retail ISBN: 978-1-5062-8178-0 Course ISBN: 978-1-5062-8180-3 Retail eISBN: 978-1-5062-8179-7 Course eISBN: 978-1-5062-8181-0 Copyright © 2023 Kaplan, Inc. 10 9 8 7 6 5 4 3 2 1 All rights reserved. The text of this publication, or any part thereof, may not be reproduced in any manner whatsoever without written permission from the publisher. GRE ® is a registered trademark of Educational Testing Service (ETS), which is not affiliated with Kaplan and was not involved in the production of, and does not endorse, this product.

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    INSTRUCTIONAL GUIDE SERIES GRE All the Quant GRE All the Verbal 5 lb. Book of GRE ® Practice Problems SUPPLEMENTAL MATERIALS 500 Essential Words: GRE ® Vocabulary Flash Cards 500 Advanced Words: GRE ® Vocabulary Flash Cards

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    May 2, 2023 Hello! Welcome to the GRE ® All The Quant. I hope this book provides just the guidance you need to get the most out of your GRE studies. If you have any questions or feedback, please do not hesitate to contact us at gre@manhattanprep.com or 212-721-7400. Also: We try to keep all of our books free of errors, but if you think we’ve goofed, please visit manhattanprep.com/GRE/errata. All of our Manhattan Prep books are based on the continuing experiences of both our instructors and our students. The primary authors and editors of this edition of the book were Manhattan Prep instructors Dmitry Farber, Chris Gentry, Rina Goldfield, Tyler Johnson, Stacey Koprince, Logan Smeallie, and Ryan Starr. Project management, design, and quality assurance were led by Deepika Devan, Mario Gambino, Marie Gugnishev, and Helen Tan. I’d like to send particular thanks to Manhattan Prep instructors Whitney Garner and Emily Meredith Sledge for their additional content contributions to this edition. Finally, we are indebted to all of the Manhattan Prep students who have given us excellent feedback over the years. This book wouldn’t be half of what it is without their voice. And now that you are one of our students too, please chime in! I look forward to hearing from you. Thanks again and best of luck preparing for the GRE! Sincerely,

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    Stacey Koprince Director of Content and Curriculum Manhattan Prep www.manhattanprep.com/gre 623 Broadway, New York, NY 10012 Tel: 212-721-7400

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    TABLE OF CONTENTS Getting the Most Out of Your GRE Math Studies The GRE Exam Math Formats in Detail UNIT ONE: Number Properties Chapter 1: Develop Your Number Sense Integers and Their Digits Non-Integers and Their Digits Manipulating Integers Factors Prime Numbers Positives, Negatives, and Zero Calculator Use Number Lines Check Your Skills Answer Key Problem Set Solutions Chapter 2: Number Properties Understanding the Unknown Positives and Negatives Absolute Values Testing Positive and Negative Cases Evens and Odds The Sum of Two Primes Testing Odd and Even Cases Exponents Check Your Skills Answer Key Problem Set Solutions

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    Chapter 3: Quantitative Comparison: Pick Numbers QC Structure Simplify and Pick Numbers Check Your Skills Answer Key Problem Set Solutions UNIT TWO: Algebra Chapter 4: Equations The Order of Operations (PEMDAS) Fraction Bars as Grouping Symbols Solving for a Variable with One Equation Solving Absolute Value Equations Check Your Skills Answer Key Problem Set Solutions Chapter 5: Exponents and Roots Exponents and Roots Language Roots as Exponents Exponential Equations Same Bases Same Exponents Special Powers Special Bases Rules of Exponents Common Exponent Errors Exponents on QC Check Your Skills Answer Key Problem Set Solutions Chapter 6: Formulas and Functions Plug In Formulas Strange Symbol Formulas

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    Functions Check Your Skills Answer Key Problem Set Solutions Chapter 7: Inequalities and Systems of Equations Interpreting Inequalities Solving Inequalities Manipulating Compound Inequalities Inequalities and Absolute Values Systems of Equations An Equation and an Inequality Seriously, Distribute! Two Inequalities Equations on QC Check Your Skills Answer Key Problem Set Solutions Chapter 8: QC Gameplan: Simplify The Hidden Inequality Relative Order Pick Numbers: Part Two Check Your Skills Answer Key Problem Set Solutions UNIT THREE: Factors Chapter 9: Divisibility Divisibility Terms Divisibility Shortcuts Factor Pair Method Prime Factor Tree Divisibility of Unknowns Combining Givens

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    Divisibility and Addition/Subtraction Divisibility and Consecutive Integers Remainders Check Your Skills Answer Key Problem Set Solutions Chapter 10: Common Factors Distributing and Factoring Exponents and Factors Roots and Factors Fractions and Factors Check Your Skills Answer Key Problem Set Solutions Chapter 11: Fractions Improper Fractions and Mixed Numbers Multiplying and Dividing Fractions Adding and Subtracting Fractions NEVER Split the Denominator! Fractions and Equations Comparing Fractions Comparing Complex Fractions Check Your Skills Answer Key Problem Set Solutions Chapter 12: Quadratic Equations Equivalent Forms Solving Quadratic Equations Using FOIL with Square Roots One-Solution Quadratics The Three Special Products Quadratics in QC Quadratics and Fractions

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    Check Your Skills Answer Key Problem Set Solutions Chapter 13: QC Gameplan: Compare Compare, Don’t Compute Problem Set Solutions UNIT FOUR: Stories, Percents, Ratios, Stats, and Data Chapter 14: Algebraic Translations Common Translations Complex GRE Translations Common Translation Errors Hidden Constraints Check Your Skills Answer Key Problem Set Solutions Chapter 15: Percents Percents as Fractions Percents as Word Problems Percent Change Percent of Original Successive Percents Pick 100 for Unspecified Amounts Check Your Skills Answer Key Problem Set Solutions Chapter 16: Ratios Label A Ratio with Units Ratios and Fractions Proportions The Unknown Multiplier

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    Multiple Ratios: Make a Common Term Ratios in QC Check Your Skills Answer Key Problem Set Solutions Chapter 17: Fractions, Decimals, Percents, and Ratios Converting Forms Powers of 10: Shifting the Decimal Common FDP Equivalents When to Use Which Form Put It All Together Check Your Skills Answer Key Problem Set Solutions Chapter 18: Statistics Averages Using the Average Formula Special Cases: Weighted Averages Median: The Middle Number Range Quartiles and Percentiles Standard Deviation The Normal Distribution Check Your Skills Answer Key Problem Set Solutions Chapter 19: Data Interpretation The Basic DI Process Types of Charts Pie Charts Column Charts Line Charts Bar Charts

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    Tables Other Diagrams Check Your Skills Answer Key Problem Set Solutions UNIT FIVE: Geometry Chapter 20: Geometry on the GRE Geometry Formulas Using Geometry Equations Check Your Skills Answer Key Problem Set Solutions Chapter 21: Triangles and Diagonals The Basic Properties of a Triangle Perimeter and Area Right Triangles Pythagorean Triples Isosceles Triangles and the 45–45–90 Triangle Equilateral Triangles and the 30–60–90 Triangle Diagonals of Other Polygons Check Your Skills Answer Key Problem Set Solutions Chapter 22: Polygons Polygons and Interior Angles Polygons and Perimeter Polygons and Area 3 Dimensions: Surface Area 3 Dimensions: Volume 3 Dimensions: Diagonal of Cube Quadrilaterals: An Overview Quadrilaterals

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    Check Your Skills Answer Key Problem Set Solutions Chapter 23: Circles and Cylinders The Basic Elements of a Circle Sectors Inscribed vs. Central Angles Inscribed Triangles Cylinders and Surface Area Cylinders and Volume Check Your Skills Answer Key Problem Set Solutions Chapter 24: Lines and Angles Line Segments Intersecting Lines Exterior Angles Parallel Lines Check Your Skills Answer Key Problem Set Solutions Chapter 25: The Coordinate Plane Creating the Coordinate Plane Knowing Just One Coordinate Knowing Ranges Reading a Graph Plotting a Relationship Lines in the Plane The Intercepts of a Line The Intersection of Two Lines The Distance Between Two Points Check Your Skills Answer Key Problem Set

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    Solutions Chapter 26: QC Geometry Shape Geometry Variable Creation Word Geometry Pick Numbers Problem Set Solutions UNIT SIX: Advanced Topics Chapter 27: Rates Rate Formula Basic Motion: The RTD Chart Matching Units in the RTD Chart Multiple Rates Average Rate: Don’t Just Add and Divide Working Together: Add the Rates Population Problems Check Your Skills Answer Key Problem Set Solutions Chapter 28: Sequences and Patterns Sequence Formulas Logical Sequencing Properties of Terms Digit Problems Evenly Spaced Sequences Defining Evenly Spaced Sequences Visualizing Evenly Spaced Sets Properties of Evenly Spaced Sequences Evenly Spaced Sets on QC Check Your Skills Answer Key Problem Set

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