GRE Math: Algebra, Geometry, Statistics, Probability, Number Properties

GRE Math

The Graduate Record Examination (GRE) is a standardized test widely used by graduate schools in the United States to assess students' readiness for admission into postgraduate programs. In addition to verbal reasoning skills like vocabulary and reading comprehension, the exam also evaluates quantitative abilities such as those required to pursue advanced work in business, engineering, mathematics, physics, computer science, economics, finance, chemistry, psychology, sociology, political science, and education. Here, we will explore each of the primary areas of the GRE math section in detail: algebra, geometry, statistics, probability, and number properties.

Algebra

Algebraic questions on the GRE may involve solving systems of equations, simplifying expressions, completing squares, factoring, finding roots, understanding order of operations, and more. Preparing for these types of problems often involves basic arithmetic, fractions, decimals, exponents, and logarithms.

Geometry

Geometry questions require knowledge of shapes and their attributes, angles, distance measurement, and area formulas. These may include recognizing right triangles, congruent figures, parallel lines, perpendicular lines, similarity, and symmetry. Additionally, understanding principles of Euclidean and non-Euclidean geometry can help prepare for this type of problem.

Statistics

Quantitative reasoning on the GRE may also involve interpreting data from tables, charts, graphs, and diagrams. This could include using descriptive statistics and probability distributions to describe patterns in the data and infer conclusions. Understanding statistical concepts like mean, median, mode, range, correlation, regression, hypothesis testing, confidence intervals, and random variables are crucial for success in the statistics section.

Probability

Probability questions on the GRE may ask you to determine the likelihood of a particular event occurring. These questions might require calculating probabilities based on combinations, permutations, or probability distributions. Understanding the concept of random variables and the rules of probability, including the sum rule and product rule, can help you solve these types of problems.

Number Properties

Finally, the GRE math section may include questions about number properties, including arithmetic operations, fractions, decimals, and percents. This includes basic arithmetic, fractions, decimals, and exponents, as well as more advanced topics like complex numbers, congruences, and number sequences.

In summary, the GRE math section assesses a variety of quantitative skills, and understanding the fundamental concepts in algebra, geometry, statistics, probability, and number properties can help you prepare for this exam.