# Guide To Math Section Of The GRE

Applying for the GRE is simple. Studying for the GRE should be as well.

If you have not signed up for the GRE yet please check out our article on HOW TO APPLY AND REGISTER TO THE GRE

Now that you are scheduled to take the exam lets focus on the GRE three sections.

- Verbal Reasoning
*Quantitative Reasoning*- Analytical Writing

The *Quantitative Reasoning* measure of the *GRE*® revised General Test assesses your:

- basic mathematical skills
- understanding of elementary mathematical concepts
- ability to reason quantitatively and to model and solve problems with quantitative methods

**Please note:** That Some of the questions in the measure are posed in real-life settings, while others are posed in purely mathematical settings. The skills, concepts and abilities are tested in the four content areas below:

## ARITHMETIC

*Arithmetic* topics include properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers; arithmetic operations, exponents and roots; and concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers. I have broken these down into the following sections.

1.1 Integers

1.2 Fractions

1.3 Exponents and Roots

1.4 Decimals

1.5 Real Numbers

1.6 Ratio

1.7 Percent

**Useful link:** Khanacademy.org/math/arithmetic

## ALGEBRA

*Algebra* topics include operations with exponents; factoring and simplifying algebraic expressions; relations, functions, equations and inequalities; solving linear and quadratic equations and inequalities; solving simultaneous equations and inequalities; setting up equations to solve word problems; and coordinate geometry, including graphs of functions, equations and inequalities, intercepts and slopes of lines. I have broken these down into the following sections.

2.1 Operations with Algebraic Expressions

2.2 Rules of Exponents

2.3 Solving Linear Equations

2.4 Solving Quadratic Equations

2.5 Solving Linear Inequalities

2.6 Functions

2.7 Applications

2.8 Coordinate Geometry

2.9 Graphs of Functions

**Useful link:** https://www.khanacademy.org/math/algebra

**Useful link:** https://www.khanacademy.org/math/algebra2

## GEOMETRY

*Geometry* topics include parallel and perpendicular lines, circles, triangles — including isosceles, equilateral and 30°-60°-90° triangles — quadrilaterals, other polygons, congruent and similar figures, three-dimensional figures, area, perimeter, volume, the Pythagorean theorem and angle measurement in degrees. The ability to construct proofs is not tested. I have broken these down into the following sections.

3.1 Lines and Angles

3.2 Polygons

3.3 Triangles

3.4 Quadrilaterals

3.5 Circles

3.6 Three-Dimensional Figures

**Useful link:** https://www.khanacademy.org/math/geometry

## DATA ANALYSIS

*Data analysis* topics include basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles; interpretation of data in tables and graphs, such as line graphs, bar graphs, circle graphs, boxplots, scatterplots and frequency distributions; elementary probability, such as probabilities of compound events and independent events; random variables and probability distributions, including normal distributions; and counting methods, such as combinations, permutations and Venn diagrams. These topics are typically taught in high school algebra courses or introductory statistics courses. Inferential statistics is not tested.

4.1 Graphical Methods for Describing Data

4.2 Numerical Methods for Describing Data

4.3 Counting Methods

4.4 Probability

4.5 Distributions of Data, Random Variables, and Probability Distributions

4.6 Data Interpretation Examples

**Useful Link:** https://www.khanacademy.org/math/probability

## Quantitative Reasoning Question Types

The Quantitative Reasoning measure has four types of questions. Click on the links below to get a closer look at each, **including sample questions with rationales.**

- Quantitative Comparison Questions
- Multiple-choice Questions — Select One Answer Choice
- Multiple-choice Questions — Select One or More Answer Choices
- Numeric Entry Questions

Each question appears either independently as a discrete question or as part of a set of questions called a Data Interpretation set. All of the questions in a Data Interpretation set are based on the same data presented in tables, graphs or other displays of data.

You are allowed to use a basic calculator on the Quantitative Reasoning measure. For the computer-based test, the calculator is provided on-screen. For the paper-based test, a handheld calculator is provided at the test center. Read more about using the calculator.

## See also:

- Introduction to the Quantitative Reasoning Measure in Accessible Formats
- Math Review (PDF)
- Math Conventions (PDF)
- Majortest.com
- Powerprep Download
- What type of calculators are available and when may I use it?

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