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**

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.

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.

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.

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**

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

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

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 Distribution mean, 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

**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

**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.

**Algebra 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 Word Problems**

Area Word Problems

Volume Word Problems

Angle Word Problems

Measurement Problems

**Graphs, Tables, Plots**

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

Try the free Mathway calculator and
problem solver below to practice various 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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