GMAT Math Help


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More Lessons for GMAT Math
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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

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.

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
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 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

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

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

Data Interpretation

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.
Mathway Calculator Widget



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