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GMAT Math

Here, we have a collection of videos, games, activities and worksheets that are suitable for GMAT Math or GMAT Quantitative Section.

What is GMAT?

GMAT Tips and Strategies
GMAT Tips and Strategies - Quantitative Section
GMAT Tips and Strategies - Verbal Section

GMAT Math Tips I
GMAT Math Tips II
GMAT Math Tips III

Be familiar with the following directions so that you will not need to spend time reading them during the test.

The Directions for the Problem Solving Section

Solve the problem and indicate the best of the answer choices given.
Numbers: All numbers used are real numbers.
Figures: A figure accompanying a problem solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

The Directions for the Data Sufficiency Section

Each data sufficiency problem consists of a question and two statements, labelled (1) and (2), which contain certain data. Using these data and your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise ), decide whether the data given are sufficient for answering the question and then indicate one of the following answer choices.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are not sufficient

Note: In data sufficiency problems that ask for the value of a quantity, the data given in the statements are sufficient only when it is possible to determine exactly one numerical value of the quantity.
Numbers: All numbers used are real numbers.
Figures:

Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
Lines shown as straight are straight, and lines that appear jagged are also straight.
The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
All figures lie in a plane unless otherwise indicated.

GMAT Practice Test

The following are worked solutions in videos based on the The Official Guide for GMAT Review.

Free Worked Solutions in videos for GMAT Problem Solving Math Questions

Free Worked Solutions in videos for GMAT Data Sufficiency Math Questions

These are the topics that you will need to know for the GMAT Quantitative Section.

Arithmetic Review

Since you cannot use a calculator in the GMAT Test, it will be helpful to review how to perform some arithmetic operations without a calculator.

Properties of Integers

Factors, Multiples and Prime Numbers
Prime Factorization
Quotients and Remainders
Even and Odd Integers (Rules)
Consecutive Integers, Consecutive Odd Integers, Consecutive Even Integers
Zero Property of Multiplication
Identity Property of Addition and Multiplication

Fractions

Equivalent Fractions
Greatest Common Divisor
Reduce Fractions to Lowest Terms I
Reduce Fractions to Lowest Terms II
Addition and Subtraction of Fractions
Multiplication of Fractions
Division of Fractions
Mixed Numbers and Conversion
Adding and Subtracting Mixed Numbers
Multiplying and Dividing Mixed Numbers

Decimals

Convert from Scientific Notation to Standard Notation
Convert from Standard Notation to Scientific Notation
Addition and Subtraction of Decimals
Multiplication of Decimals
Division of Decimals

Real Numbers

Real Numbers
Properties of Real Numbers: Commutative, Associative, Distributive
Absolute Values
Adding and Subtracting Positive and Negative Numbers
Multiplying and Dividing Positive and Negative Numbers

Ratio and Proportion

Ratio and Proportion
GMAT Questions - Ratio and Proportion

Percents

Percents, Decimals and Fractions
Percents greater than 100%
Percents less than 1%
Percent of a Number
Percent Increase and Decrease
Percent Change
Solving Percent Problems
Percents and their Applications
GMAT Questions - Percent

Powers and Roots of Numbers

Powers or Exponents of Numbers
Square Roots
Estimating Square Roots
Square Root Word Problems I
Square Root Word Problems II
Cube Roots of Numbers
GMAT Questions - Roots

Descriptive Statistics

Mean, Median, Mode, Range
Standard Deviation
Frequency Distribution: mean, median, mode, range, standard deviation
GMAT Questions - Statistics

Sets

Elements, Subset
Union, Intersection, Disjoint or Multually Exclusive
Venn Diagrams I
Venn Diagrams II
Venn Diagrams Word Problems
GMAT Questions - Sets

Counting Methods

Multiplication Counting Principle
Factorial
Permutation
Combination

Discrete Probability

GMAT Probability Lessons
Probability of Simple Events
Complementary Events
Independent Events (Multiplication Rule)
Dependent Events (Multiplications Rule)
Mutually Exclusive Events
Addition Rule

GMAT Questions - Probability I
GMAT Questions - Probability II

Algebra Review

Algebraic Expressions

Combining Like Terms
Dividing by Common Factors
Multiply Two Algebraic Expressions
Evaluating Algebraic Expressions
Simplifying Algebraic Expressions

Solving Equations

Solving Linear Equations with One Unknown
Equivalent Equations and Equations with no Solutions
Solving Systems of Equations by Substitution
Solving Systems of Equations by Addition or Elimination

Solving Equations by Factoring

Factor Perfect Square Trinomials
Factor Difference of Squares
Factor Sum and Difference of Two Cubes
Factor Simple Trinomials
Factor Trinomials
Factor Trinomials by Guessing

Solve Quadratic Equations by Factoring
Solve Quadratic Equations - Quadratic Formula

GMAT Questions - Equations
GMAT Questions - Quadratic Equations

Rules of Exponents

Positive, Zero and Negative Exponents
Product Rule for Exponents
Quotient Rule for Exponents
Power Rule for Exponents
Rules for Negative Exponents

GMAT Questions - Exponents

Inequalities

Solving Linear Inequalities

Absolute Value

Solving Absolute Value Equations
Solving Absolute Value Inequalities

GMAT Questions - Inequalities and Absolute Value

Functions

Domain and Range
Composite Functions
Sequence

Geometry Review

Lines

Lines and Line Segments

Intersecting Lines and Angles
Complementary and Supplementary Angles
Adjacent, Complementary, Supplementary and Vertical Angles
Using complementary, supplementary, adjacent, and vertical angles

Parallel Lines
Corresponding Angles
Alternate Interior Angles
Co-Interior Angles
Corresponding and Alternate Angles
Problems involving Parallel Lines and Transversal

GMAT - Diagonals, Lines and Symmetry

Polygons (Convex)

Types of Polygons
Interior Angles of Polygons

Triangles

Triangle Inequality
Equilateral Triangles and Isosceles Triangles
Right Triangles and the Pythagorean Theorem
Area of Triangles
Altitude of a Triangle

Quadrilaterals

Properties of Parallelograms
Properties of Rectangles and Squares
Properties of Rhombus
Properties of Trapezoids

Circles

Chord, Radius, Diameter
Area of a Circle
Circumference of a Circle
Tangent, Point of Tangency
Angles in Semi-Circles and Cyclic Quadrilaterals
Inscribed and Circumscribed Circles
Polygon Inscribed in Circle
Circle inscribed in Polygon
GMAT - Rectangles, Circles and Inscribed Angles

Rectangular Solids and Cylinders

Surface Area of Rectangular Prism
Surface Area of Cylinder
Volume of a Rectangular Prism
Volume of a Cylinder
GMAT - Solid Shapes

Coordinate Geometry

Coordinate Plane or Cartesian Plane
Cartesian Plane - Plotting Points
Distance between Two Points

Slope of Line
Graphing Horizontal and Vertical Lines
Graphing Lines using the x-intercept and y-intercept

Convert a linear equation from standard form to slope-intercept form
Find the equation of a line using the Point Slope Form
Equations for Parallel Lines
Equations for Perpendicular Lines

Graphical Solution to Systems of Equations
Graphs of Linear Functions
Graphs of Quadratic Functions - Parabolas

GMAT - Coordinate Geometry

Extensive knowledge of theorems and the ability to construct proofs are not tested.

Word Problems

Rate Problems
Work Problems
Mixture Problems
Simple Interest Problems
Compound Interest Problems
Discount and Sales Tax Problems
Profit and Loss Problems
Sets Word Problems

Geometry Problems

Area Word Problems
Volume Word Problems
Angle Word Problems

Measurement Problems

Data Interpretation

Interpret Line Graphs
Interpret Circle Graphs
Pictographs
Stem and Leaf Plots
Frequency Tables
Double Bar Graphs
Histograms
Line Plots
Box and Whisker Plots
Scatter Plot and Line of Best Fit
Scatter Plots and Correlations

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