Manhattan GMAT Strategy Guides
Number Properties
The Number Properties Guide (160 pages) provides a comprehensive analysis of the properties and rules of integers tested on the GMAT. Learn, practice, and master everything from prime products to perfect squares.
The Guide contains a total of 161 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- DIVISIBILITY & PRIMES
Integers, Rules of Divisibility, Multiples, Divisibility & Addition/Subtraction, Prime Factorization, Factor Foundation Rule, Prime Boxes, Greatest Common Factor, Least Common Multiple, Remainders
- ODDS & EVENS
Arithmetic Rules, Testing Odd & Even Cases, Sum of Two Primes
- POSITIVES & NEGATIVES
Absolute Value, Double Negative, Multiplying & Dividing Signed Numbers, Testing Positive & Negative Cases
- CONSECUTIVE INTEGERS
Properties of Evenly Spaced Sets, Counting Integers in Series, Sum of Consecutive Integers, Products & Sums of Consecutive Integers & Divisibility
- EXPONENTS
Properties and Rules of Exponents, Special Bases, Simplifying Exponential Expressions, Common Exponent Errors
- ROOTS
General Rules of Roots, Roots and Fractional Exponents, Simplifying Roots, Imperfect vs. Perfect Squares, Simplifying & Estimating Roots of Imperfect Squares, Common Root Errors, Common Squares and Cubes
- PEMDAS
Order of Operations, Subtraction of Expressions, Fraction Bars and Grouping Symbols
Part II: Advanced
Includes separate chapters on numerous Advanced Number Properties topics, as well as additional practice problems.
Fractions, Decimals, & Percents
The Fractions, Decimals, & Percents Guide (112 pages) provides an in-depth look at the variety of GMAT questions that test your knowledge of fractions, decimals, and percents. Learn to see the connections among these part-whole relationships and practice implementing strategic shortcuts.
The Guide contains a total of 82 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- DIGITS & DECIMALS
Place Value, Estimation, Powers of 10, Last Digit Shortcut, Heavy Division Shortcut, Decimal Operations
- FRACTIONS
Simplifying, Multiplication Shortcut, Reciprocals, Cross-Multiplication, Splitting Denominators, Benchmark Values, Smart Numbers
- PERCENTS
Percent Tables, Percentage Change, Successive Percents, Percent Formulas, Percent Mixtures
- FDP's
FDP Connection, Conversions, Common Equivalents
Part II: Advanced
Includes separate chapter on numerous Advanced Fractions, Decimals, & Percents topics such as Repeating and Terminating Decimals, Unknown Digit Problems, Estimating Decimal Equivalents, Fractions and Exponents & Roots, and Percents and Weighted Averages. This section also includes additional practice problems.
Equations, Inequalities, & VICs
The Equations, Inequalities, & VICs Guide (192 pages) covers algebra in all its various forms (and disguises) on the GMAT. Master fundamental techniques and nuanced strategies to help you solve for unknown variables of every type.
The Guide contains a total of 162 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- BASIC EQUATIONS
One-Variable Equations, Simultaneous Equations, Mismatch Problems, Combo Manipulations, Absolute Variable Equations
- EXPONENTIAL EQUATIONS
Even Exponents, Common Bases, Common Exponents, Eliminating Roots
- QUADRATIC EQUATIONS
Factoring, Disguised Quadratics, Foiling, 1-Solution Quadratics, Undefined Denominators, 3 Special Products
- FORMULAS
Plug-Ins, Strange Symbols, Unspecified Amounts, Sequences, Patterns
- FUNCTIONS
Numerical Substitution, Variable Substitution, Compound Functions, Unknown Constants, Graphs, Common Function Types
- INEQUALITIES
Combining Inequalities, Compound Inequalities, Extreme Values, Optimization, Testing Cases, Inequalities and Absolute Value, Square-Rooting
- VICs
Variables In Answer Choices, Examples, 3 Strategies, Pros and Cons of Different Strategies
Part II: Advanced
Includes separate chapters on Advanced Equations, Inequalities, & VICs topics, as well as additional practice problems.
Word Translations
The Word Translations Guide (176 pages) analyzes the GMAT’s complex math word problems and provides structured frameworks for attacking each question type. Master the art of translating challenging word problems into organized data.
The Guide contains a total of 120 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- ALGEBRAIC TRANSLATIONS
Translation Techniques, Using Charts, Prices and Quantities
- RATES & WORK
RTD Charts, Matching Units, Multiple RTD Problems, Average Rate, Basic Work, Working Together, Population
- RATIOS
Labels, Proportions, Unknown Multipliers, Multiple Ratios
- COMBINATORICS
Fundamental Counting Principle, Factorials, Anagrams, Multiple Arrangements, Arrangements with Constraints
- PROBABILITY
And vs. Or, 1 - x Shortcut, Domino Effect, Probability Trees
- STATISTICS
Average Formula, Evenly Spaced Sets, Weighted Averages, Median, Standard Deviation
- OVERLAPPING SETS
Double-Set Matrix, Sets & Percents, Sets & Algebraic Representation, 2 Sets/3 Choices, Venn Diagrams
- MINOR PROBLEM TYPES
Optimization, Grouping, Scheduling, Computation, Graphing
Part II: Advanced
Includes separate chapters on numerous Advanced Word Translations topics, as well as additional practice problems.
Geometry
The Geometry Guide (112 pages) illustrates every geometric principle, formula, and problem type tested on the GMAT. Understand and master the intricacies of shapes, planes, lines, angles, and objects.
The Guide contains a total of 83 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- POLYGONS
Quadrilaterals, Interior Angles, Perimeter, Area, Dimensionality, Surface Area, Volume
- TRIANGLES & DIAGONALS
Side-Angle Relationships, Triangle Theorems, Isosceles & Equilateral Triangles, Special Ratios, Polygon Diagonals, Similar Triangles, Area Revisited
- CIRCLES & CYLINDERS
Circumference, Arc Length, Perimeter, Area, Sectors, Inscribed & Central Angles, Cylinder Surface Area & Volume
- LINES & ANGLES
Intersecting Lines, Parallel Lines, Exterior Angles, Transversals
- COORDINATE PLANE
Slopes, Intercepts, Slope-Intercept Equation, Distance, Quadrants, Perpendicular Bisectors, Intersection of 2 Lines
Part II: Advanced
Includes separate chapter on numerous Advanced Geometry topics, as well as additional practice problems.
Critical Reasoning
The Critical Reasoning Guide (200 pages) simplifies arguments by illustrating innovative diagramming techniques designed to increase comprehension and improve accuracy.
The Guide contains a total of 70 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
- ARGUMENT STRUCTURE
Parts of an Argument, Finding a Conclusion, Common Signal Words, Identifying Conclusions and Premises, An Alternate Way
- DIAGRAMMING
The T-Diagram, Efficient Diagramming, Model Arguments
- GENERAL STRATEGY
Question Stem, "Except" Questions, Boundary and Extreme Words in Question Stem, Process of Elimination, Boundary and Extreme Words in Answer Choices
- FIND THE ASSUMPTION
Close Ties to the Conclusion, Categories of Assumptions, Wrong Answer Choice Types, Least Extreme negation (Advanced)
- DRAW A CONCLUSION
Stay Close to the Premises, Use Real Numbers, Make an Inference, Wrong Answer Choice Types
- STRENGTHEN THE CONCLUSION
S-W-Slash Chart, Decide Between Two Attractive Answer Choices, Wrong Answer Choice Types
- WEAKEN THE CONCLUSION
Argument/Conterargument, S-W Slash Chart Revisited, Wrong Answer Choice Types
- MINOR QUESTION TYPES
Explain an Event or Discrepancy, Analyze the Argument Structure, Evaluate the Conclusion, Resolve a Problem, Provide an Example, Restate the Conclusion, Mimic the Argument
Reading Comprehension
The Reading Comprehension Guide (152 pages) illustrates innovative sketching techniques designed to balance speed and comprehension on the GMAT.
The Guide contains a total of 69 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
- INTRODUCTION TO PRINCIPLES
Logistics of Reading Comprehension, Challenges, Two Extremes and a Balanced Approach, Engaging the Passage, Recruiting for Your Working Memory, Looking for the Simple Story, Linking to What You Already Know, Unpacking, Linking to What You Have Just Read, Signals, Picking Up the Pace, Practicing on Non-GMAT Material
- COMPONENTS OF PASSAGES
The Point, Background, Support, Implications, Foreshadowing
- SHORT PASSAGES
Positive vs. Negative Scenarios, The Headline List, Common Notations, Using Your Headline List, Timing Guidelines, Common Structures, Model Short Passages and Headline Lists
- LONG PASSAGES
The Skeletal Sketch, Using Your Skeletal Sketch, Timing Guidelines, Common Structures, Model Long Passages and Skeletal Sketches
- THE SEVEN STRATEGIES
Scoring System, Key Word Matching, Proof Sentences, Word Justification, Extreme Word Avoidance, Limiting Inferences, Previewing
- QUESTION ANALYSIS
Question Type Analysis, Types of Wrong Answer Choices, Model Passages Revisited, Model Questions and Answers
- PASSAGES & PROBLEM SETS
Seven Sample Passages, 35 Sample Problems, Explanations
Sentence Correction
The Sentence Correction Guide (288 pages) takes the guesswork out of grammar by presenting every major grammatical principle and minor grammatical point tested on the GMAT. Don’t be caught relying only on your ear; master the rules for correcting every GMAT sentence.
The Guide contains a total of 187 "In-Action" problems of increasing difficulty with detailed answer explanations.
Chapter by Chapter
Part I: General
- SENTENCE CORRECTION BASICS
Question Format, Best vs. Ideal, Splits and Re-Splits, Reading the Entire Sentence
- GRAMMAR, MEANING, CONCISION
Choose/Place/Match Your Words, Redundancy
- SUBJECT-VERB AGREEMENT
Fragments, Middlemen, Warmups, Additive Phrases, Collective Nouns, Quantity Words, Flipping
- PARALLELISM
Parallel Markers, Structures, Idioms, Superficial Parallelism, Linking Verbs
- PRONOUNS
Antecedent Existence, Meaning, Ambiguity, Agreement, Case, Third Person Personal Pronouns, Demonstratives
- MODIFIERS
Adjectives, Adverbs, Noun Modifiers, Position Rules and Exceptions, Relative Pronouns, Subgroup Modifiers, Essential vs. Non-Essential Modifiers, Verb Modifiers, Use of Which
- VERB TENSE, MOOD, & VOICE
Simple Tenses, Progressive Tenses (Present and Past), Tense Sequence, Subjunctive Mood (Hypothetical and Command), If/Then Voice (Active and Passive)
- COMPARISONS
Like vs. As, Parallel Comparisons, Omitted Words, Comparative & Superlative Forms
- IDIOMS
Spot-Extract-Replace, Idiom List (197 Entries)
- ODDS & ENDS
Connecting Words, Connecting Punctuation, Quantity
PLUS: Official Guide Problem Matrixand Glossary of Grammatical Terms
Part II: Advanced
Includes separate chapters on numerous Advanced Sentence Correction topics, as well as additional practice problems.




