Mathematical Content Areas

The Quantitative Reasoning measure of the GREŽ revised General Test assesses your skills, knowledge, and abilities 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, 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; 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.

Sample Questions