GMAT List of Study Topics (MGMAT)

7/29/2019 GMAT List of Study Topics (MGMAT)

1/20


2/20


3/20


4/20


5/20

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


6/20

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


7/20

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


8/20

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


9/20

0

0

0

0

0

0

0

0

0

0

0

0

0

00

0

0

0

0

0

0

0

0

00

0

0

0

0

0

0


10/20

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

00

0


11/20

Difference

0

0

0

0

00

0

0

0

0

0

0

0

0

00

0

0

0

0

0

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


12/20

0

0

0

0

0

00

0

0

0

0


13/20

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


14/20


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



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


15/20

Using Conjugates to Rationalize

Denominators


16/20


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



The DS Process



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


17/20


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



The DS Process



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


18/20


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


The 1 - x Probability Trick



The DS Process



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


19/20

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


20/20

Question Analysis

Passages & Problem

Sets

Appendix

Documents

GMAT List of Study Topics (MGMAT)