gmat list of study topics (mgmat)
TRANSCRIPT
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Chapter
FDP
Intro
Digits & Decimals
Fractions
PercentsRatios
FDP's
FDP Strategies
Extra FDP's
Appendix
Algebra
Intro 11
PEMDAS 10 5
Linear Equations 14 8
Exponents 14 10
Roots 12 13
Quadratic Equations 16 10
Formulas 12 10
Deleted
Inequalities 16 10
Deleted
Algebra Strategies 28 10
Extra Equations 12 7Extra Functions 18 10
Extra Inequalities 10 5
Deleted
Appendix 4
Total: 177 98
Intro 11 -
Algebraic Translations 18 9
Rates & Work 22 8Moved to FDP
Moved to NP
Moved to NP
Statistics 18 9
Consecutive Integers 14 8
Overlapping Sets 16 8
Word Problem Strategies 22 6
Word Problems
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Extra Problem Types 12 7
Extra Consecutive Integers 10 6
Deleted -
Moved to NP -
Appendix 4 -
Total: 147 61
Intro 11
Polygons 16 10
Triangles & Diagonals 18 10
Circles & Cylinders 12 8
Lines & Angles 10 7
Coordinate Plane 14 8
Geometry Strategies 28 8
Extra Geometry 16 10
Appendix 4 -
Total: 129 61
Intro 11 -
Divisibility & Primes 20 9
Odds & Events, Positives/Neg 14 9
Combinatorics 12 6
Probability 12 5
Combined -
Moved to WP -
Moved to Algebra -
Moved to Algebra -
Moved to FDP's -
Number Properties Strategies 18 6
Extra Divisibility & Primes 16 12
Deleted -
Deleted -
Extra Combinatorics & Probability 14 7
Appendix 4 0Total: 121 54
Quant Total: 574 274
Number Properties
Geometry
5th Edition
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Chapter Pages Exercises
Argument Structure 18 5
Methodology 22 5
Structure-based Family 40 7
Assumptions 50 9
Strengthen and Weaken 48 10
Evidence Family 36 8
Complete the Argument 22 5
Wrong Answer Analysis 22 9Appendix
258 58
Intro 11Sentence Correction Basics 10 0
Grammar & Meaning 16 15
Subject-Verb Agreement 16 15
Parallelism 12 15
Pronouns 14 15
Modifiers 22 15
Verb Tense, Mood & Voice 24 15
Comparisions 16 15
Idioms 50 15
Odds & Ends 18 15
GMC/S-V/Parallelism: Extra 22 18
Pronouns & Modifiers: Extra 20 9
Verbs & Comparisons: Extra 24 29
Official Guide List & Matrix
Appendix 23
298 191
Sentence Correction
Critical Reasoning
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Intro 11 0
Introduction to Principles 24 14
Components of Passages 10 4
Short Passages 14 8
Long Passages 16 8
The Seven Strategies 8 0Question Analysis 16 9
Passages & Problem Sets 58 35
Appendix 2
159 78
Verbal 4th Edition Total: 715 327
Reading Comprehension
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Book Chapter Pg No Sub Topics Pg No Notes Status
Digits
Decimals
Place Value
Rounding to the Nearest Place Value
Adding Zeroes to Decimals
Powers of 10: Shifting the Decimal
Numerator and Denominator Rules
Simplifying Fractions
Converting Improper Fractions to Mixed
NumbersThe Multiplication Shortcut
No Addition or Subtraction Shortcuts
Dividing Fractions: Use the Reciprocal
Division in Disguise
Comparing Fractions: Cross-Multiply
Never Split the Denominator
Percents as Decimals: Multiplication Shortcut
Percent Of, Is, What
Percent Increase and Decrease
Percent Change vs. Percent of Original
Successive Percents
Interest Formulas
Label Each Part of the Ratio with Units
Proportions
The Unknown Multiplier
Multiple Ratios: Make a Common Term
Common FDP Equivalents
Converting Among Fractions, Decimals, and
Percents
When to Use Which Form
Data Sufficiency Basics
What Does "Sufficient" Mean?
The DS Process
Putting It All Together
Putting It All Together (Again)
Concrete Values vs. Relative Values
Smart Numbers: Multiples o f the
Denominators
When Not to Use Smart Numbers
Smart Numbers: Pick 100
Benchmark Values
Repeating Decimals
Terminating Decimals
Using Place Value on the GMAT
The Last Digit Shortcut
Unknown Digits Problems
Formulas That Act on Decimals
Chemical Mixtures
Percents and Weighted Averages
Percent Change and Weighted Averages
Estimating Decimal Equivalents
FDPs
Percents
Digits & Decimals
Ratios
FDP Strategies
FDP's
Extra FDP's
24Fractions
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Book Chapter Pg No Sub Topics Pg No Notes Status
Subtraction of Expressions
Fraction Bars as Grouping Symbols
Expressions vs. Equations
Solving One-Variable Equations
Simultaneous Equations: Solving by
Substitution
Simultaneous Equations: Solving by
Combination
Simultaneous Equations: Three Equations
Absolute Value Equations
All About the Base
Combining Exponential Terms with Common
Bases
Factoring Out a Common Term
Equations with Exponents
Same Base or Same Exponent
A Square Root Has Only One Value
Roots and Fractional Exponents
Simplifying a Root
Imperfect vs. Perfect Squares
Simplifying Roots of Imperfect Squares
Memorize: Squares and Square Roots
Memorize: Cubes and Cube Roots
Factoring Quadratic Equations
Disguised Quadratics
Taking the Square Root
Going in Reverse: Use FOIL
Using FOIL with Square Roots
One-Solution Quadratics
Zero in the Denominator: Undefined
The Three Special Products
Plug-In Formulas
Strange Symbol Formulas
Formulas with Unspecified Amounts
Sequence Formulas
Recursive Sequences
Sequence Problems: Alternate Method
Sequences and Patterns
Much Like Equations, With One Big Exception
Combining Inequalities: Line 'Em Up!
Manipulating Compound Inequalities
Combining Inequalities: Add 'Em Up!
Inequalities and Absolute Value
Square-Rooting Inequalities
Data Sufficiency Basics
What Does "Sufficient" Mean?
The DS Process
Putting it All Together
Putting it All Together (Again)
Combos
Combos and Special Products
Combos and Equations
Mismatch Problems
Inequalities and Data Sufficiency
Testing Inequality Cases
Fractions, Exponents, & Roots
Replacing Variables with Numbers
Complex Absolute Value Equations
Integer Constraints
Multiplying or Dividing Two Equations
Quadratic Formula
PEMDAS
Linear Equations
Exponents
Roots
Quadratic Equations
Formulas
Inequalities
Algebra Strategies
Extra Equations
Algebra
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Using Conjugates to Rationalize
Denominators
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Book Chapter Pg No Sub Topics Pg No Notes Status
Numerical Substitution
Variable Substitution
Compound Functions
Functions with Unknown Constatnts
Function Graphs
Common Function Types
Uncommon Function Types
Optimization Problems
Reciprocals of Inequalities
Squaring inequalitiesBook Chapter Pg No Sub Topics Pg No Notes Status
Pay Attention to Units
Common Relationships
Integer Constraints
Basic Motion: The RTD Chart
Matching Units in the RTD Chart
Multiple Rates
Relative Rates
Average Rate: Don't Just Add and Divide
Basic Work Problems
Working Together: Add the Rates
Population Problems
Averages
Using the Average Formula
Weighted Averages
Median: The Middle Number
Standard Deviation
Evenly Spaced Sets
Properties o f Evenly Spaced Sets
Counting Integers: Add One Before You Are
Done
The Sum of Consecutive Integers
The Double-Set Matrix
Overlapping Sets and Percents
Overlapping Sets and Algebraic
Representation
2 Sets, 3 Choices: Still Double-Set Matrix
3-Set Problems: Venn Diagrams
Data Sufficiency Basics
What Does "Sufficient" Mean?
The DS Process
Putting It All Together
Putting It All Together (Again)
Weighted Averages on Data Sufficiency
Replacing Variables with Numbers
Backsolving
Using Charts to Organize Variables
Optimization
Grouping
Scheduling
Computation Problems
Graphing Problems
Products of Consecutive Integers and
Divisibility
Sums of Consecutive Integers and Divisibility
Consecutive Integers and Divisibility
WordProble
ms
Extra Functions
Extra Inequalities
Algebraic
Translations
Rates & Work
Statistics
Consecutive Integers
Overlapping Sets
Word Problem
Strategies
Extra Problem Types
Extra Consecutive
Integers
Algebra
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Book Chapter Pg No Sub Topics Pg No Notes Status
Quadrilaterals: An Overview
Polygons and Interior Angles
Polygons and Perimeter
Polygons and Area
3 Dimensions: Surface Area
3 Dimensions: Volume
The Angles of a Triangle
The Sides of a Triangle
The Pythagorean Theorem
Common Right TrianglesIsosceles Triangles and the 45-45-90 Triangle
Equilateral Triangles and the 30-60 -90
Triangle
Diagonals of Other Polygons
Similar Triangles
Triangles and Area, Revisited
Radius, Diameter, Circumference, and Area
Revolution = Circumference
Circumference and Arc Length
Perimeter of a Sector
Area of a Circle
Area of a Sector
Inscribed vs. Central Angles
Inscribed Triangles
Cylinders and Surface Area
Cylinders and Volume
Intersecting Lines
Exterior Angles of a Triangle
Parallel Lines Cut by a Transversal
The Slope of a Line
The 4 Types of Slopes
The Intercepts of a Line
Slope-lntercept Equation: y = mx + b
Horizontal and Vertical Lines
Step by Step: From 2 Points to a Line
The Distance Between 2 Points
Positive and Negative Quadrants
Data Sufficiency Basics
What Does "Sufficient" Mean?
The DS Process
Putting It All Together
Putting It All Together (Again)
Know Your Relationships
Principles of Geometry
General Geometry Approach
Shapes in Shapes
Inscribed Triangles
Represent Angles with Variables
Unspecified Amounts
Maximum Area of Polygons
Function Graphs and Quadratics
Perpendicular Bisectors
The Intersection of Two Lines
Geomet
ry
Geometry Strategies
Extra Geometry
Polygons
Triangles &
Diagonals
Circles & Cylinders
Lines & Angles
Coordinate Plane
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Book Chapter Pg No Sub Topics Pg No Notes Status
Arithmetic Rules
Rules of Divisibility by Certain Integers
Factors and Multiples
Fewer Factors, More Multiples
Divisibility and Addition/Subtraction
Primes
Prime Factorization
Factor Foundation RuleThe Prime Box
Greatest Common Factor and Least Common
Multiple
Remainders
Three Ways to Express Remainders
Creating Numbers with a Certain Remainder
Arithmetic Rules of Odds & Evens
The Sum of Two Primes
Representing Evens and Odds Alegebraically
Positives & Negatives
Absolute Value: Absolutely Positive
A Double Negative= A Positive
Multiplying & Dividing Signed Numbers
Disguised Positives & Negatives Questions
The Words "OR" and "AND"
Arranging Groups
Arranging Groups with Repetition: The
Anagram Grid
Multiple Groups
Calculate the Numerator and Denominator
Separately
More Than One Event: "AND" vs. "OR"
P(A) + P(Not A) = 1
Putting It All Together
The 1 - x Probability Trick
Data Sufficiency Basics
What Does "Sufficient" Mean?
The DS Process
Putting It All Together
Putting It All Together (Again)
Testing Odd & Even Cases
Testing Positive & Negative Cases
Primes
Divisibility and Addition/Subtraction
Advanced GCF and LCM Techniques
Other Applications of Primes & Divisibility
Advanced Remainders
Counting Total Factors
Disguised Combinatorics
Arrangements with Constraints
The Domino Effect
Combinatorics and the Domino Effect
Probability Trees
Extra Combinatorics
& Probability
Extra Divisibility &
Primes
Number Properties
Strategies
Probability
Combinatorics
Odds & Events,
Positives/Neg
Number
Propert
ies
Divisibility & Primes
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Chapter
Argument Structure
Methodology
Structure-based
Family
Assumptions
Strengthen and
Weaken
Evidence Family
Complete the
Argument
Wrong Answer
Analysis
Appendix
Intro
Sentence Correction
Basics
Grammar & Meaning
Subject-Verb
Agreement
Parallelism
Pronouns
Modifiers
Verb Tense, Mood &
Voice
Comparisions
Idioms
Odds & Ends
GMC/S-
V/Parallelism: Extra
Pronouns &
Modifiers: Extra
Verbs &
Comparisons: Extra
Official Guide List &
Matrix
Appendix
Intro
Introduction to
Principles
Components of
PassagesShort Passages
Long Passages
The Seven Strategies
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Question Analysis
Passages & Problem
Sets
Appendix