Introduction to the Quantitative Reasoning Measure
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
Some of the questions in the measure are posed in reallife settings, while
others are posed in purely mathematical settings. The skills, concepts and
abilities are tested in the four content areas below:
 Arithmetic topics include properties and
types of integers, such as divisibility, factorization, prime numbers,
remainders and odd and even integers; arithmetic operations, exponents and
radicals; 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 slopes and intercepts of lines and graphs of functions, equations
and inequalities.
 Geometry topics include parallel and
perpendicular lines, circles, triangles — including isosceles, equilateral
and 30°60°90° triangles — quadrilaterals, other polygons, congruent and
similar figures, threedimensional 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; 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 higherlevel mathematics. The Math
Review provides detailed information about the content of the Quantitative
Reasoning measure.
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 assumptions about numbers and
geometric figures that are used in the Quantitative Reasoning measure. Two of
these assumptions are (i) all numbers used are real numbers and (ii) geometric
figures are not necessarily drawn to scale. More about conventions and
assumptions appears in Mathematical Conventions.
