GMAT Math Help

Need some free GMAT math help?
We have a collection of videos, games, activities and worksheets that are suitable for the GMAT Math or GMAT Quantitative Section.

In these lessons, we will look at

• Tips and strategies for the GMAT.
• Worked solutions for some GMAT practice tests.
• Concepts that you will need to know for the GMAT Math sections.

 

GMAT Tips and Strategies

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 Tests

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

GMAT Problem Solving Questions 1-29, pages 152-156	GMAT Problem Solving Questions 30-60, pages 156-159
GMAT Problem Solving Questions 61-86, pages 160-163	GMAT Problem Solving Questions 87-109, pages 163-166
GMAT Problem Solving Questions 110-132, pages 166-170	GMAT Problem Solving Questions 133-160, pages 170-173
GMAT Problem Solving Questions 161-179, pages 174 -176	GMAT Problem Solving Questions 180-200, pages 176-179
GMAT Problem Solving Questions 201-216, pages 179-181	GMAT Problem Solving Questions 217-236, pages 182-185
GMAT Problem Solving Questions 237- 247, pages 185-186

Free Worked Solutions in videos for GMAT Data Sufficiency Math Questions

GMAT Data Sufficiency Questions 1-27, pages 278-279	GMAT Data Sufficiency Questions 28-50, pages 280-281
GMAT Data Sufficiency Questions 51-72, pages 281-283	GMAT Data Sufficiency Questions 73-90, pages 284-285
GMAT Data Sufficiency Questions 91-106, pages 285-287	GMAT Data Sufficiency Questions 107-120, pages 287-288
GMAT Data Sufficiency Questions 121-137, pages 288-289	GMAT Data Sufficiency Questions 138-150, pages 289-290
GMAT Data Sufficiency Questions 151-155, pages 290

GMAT Quantitative Section

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> 100% Percents l or < 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 Distributionmean, median, mode, range, standard deviation	GMAT Questions - Statistics

Sets

Elements, Subset	Union, Intersection, Disjoint or Mutually 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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