Gre verbal Reasoning and Quantitative Reasoning With Explanations

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.
•
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.
•
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.
•
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; conditional probability; 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.
The content in these areas includes high school mathematics and statistics at a level that is 
generally no higher than a second course in algebra; it does not include trigonometry, calculus or 
other higher-level mathematics. The 
Math Review (PDF)
 provides detailed information about the 
content of the Quantitative Reasoning measure. 
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For more explanations about the concepts covered in the Math Review, view free 
Khan 
Academy
®
 instructional videos
. 
The mathematical symbols, terminology and conventions used in the Quantitative Reasoning 
measure are those that are standard at the high school level. For example, the positive direction of 
a number line is to the right, distances are nonnegative and prime numbers are greater than 1. 
Whenever nonstandard notation is used in a question, it is explicitly introduced in the question.
In addition to conventions, there are some important assumptions about numbers and figures that 
are listed in the Quantitative Reasoning section directions: 
•
All numbers used are real numbers.
•
All figures are assumed to lie in a plane unless otherwise indicated.
•
Geometric figures, such as lines, circles, triangles, and quadrilaterals,