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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 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  
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
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, 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
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  
Domain and Range Composite Functions

Geometry Review

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
Triangle Inequality Equilateral Triangles and Isosceles Triangles
Right Triangles and the Pythagorean Theorem Area of Triangles
Altitude of a Triangle  
Properties of Parallelograms Properties of Rectangles and Squares
Properties of Rhombus Properties of Trapezoids
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  

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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