The GRE tests math at roughly a high school level, covering four broad areas: arithmetic, algebra, geometry, and data analysis. Nothing goes beyond what you’d encounter in a standard pre-calculus curriculum. There’s no calculus, no trigonometry beyond basic right-triangle relationships, and no advanced statistics. That said, the questions are designed to test reasoning and problem-solving speed, not just your ability to plug numbers into formulas.
How the Math Section Is Structured
The GRE calls its math portion “Quantitative Reasoning,” and it’s split into two separately timed sections. The first section gives you 12 questions in 21 minutes. The second gives you 15 questions in 26 minutes. That works out to roughly 1 minute and 45 seconds per question across both sections.
The two sections are adaptive. Everyone gets a first section of average difficulty, but your performance on it determines whether the second section is harder or easier. A strong first section unlocks harder questions in the second round, which gives you access to higher scores. This means the first 12 questions carry outsized importance for your final score.
Arithmetic
Arithmetic on the GRE goes well beyond basic addition and subtraction. You’ll need a solid grasp of integer properties: divisibility rules, prime factorization, remainders, and how odd and even numbers behave in operations. Exponents and roots show up frequently, often embedded in comparison problems where you need to decide which of two expressions is larger without calculating exact values.
Expect questions involving percents, ratios, and rates. A classic example: a word problem gives you two workers completing a task at different rates and asks how long they’d take working together. You’ll also see problems built around estimation, absolute value, number lines, decimal representations, and number sequences. Many of these topics feel straightforward in isolation but become tricky when combined or when the question is framed to test conceptual understanding rather than computation.
Algebra
The algebra on the GRE centers on linear and quadratic equations and inequalities. You should be comfortable solving for a variable, factoring expressions, and simplifying algebraic fractions. Systems of equations (two or more equations with two or more unknowns) appear regularly, and the test expects you to solve them efficiently, sometimes by substitution and sometimes by elimination.
Word problems are a major part of the algebra content. The challenge isn’t usually the math itself but translating a paragraph of text into the right equation. A question might describe a mixture, a rate of change, or a profit-and-loss scenario and ask you to set up and solve the underlying relationship.
Coordinate geometry also falls under the algebra umbrella. You’ll need to work with slopes, intercepts, and graphs of linear and quadratic functions. Knowing how to identify a line’s equation from two points, or recognizing what shifting a function does to its graph, will save you time.
Geometry
GRE geometry sticks to the fundamentals. Triangles get the most attention: properties of isosceles and equilateral triangles, the Pythagorean theorem, and the special 30-60-90 and 45-45-90 triangle ratios. If you memorize those two sets of side ratios, you can bypass a lot of calculation on test day.
Circles come up frequently too. Know the formulas for area and circumference, and understand how central angles relate to arc length. For quadrilaterals and other polygons, you’ll need area and perimeter formulas, plus an understanding of how parallel and perpendicular lines create angle relationships.
Three-dimensional figures (rectangular solids, cylinders, and occasionally spheres) appear in questions about volume and surface area. Congruence and similarity are tested conceptually: if two triangles are similar, you should be able to set up a proportion between their corresponding sides and solve for an unknown length.
Data Analysis
Data analysis is the broadest category and the one that surprises many test-takers. It covers descriptive statistics: mean, median, mode, range, standard deviation, quartiles, percentiles, and interquartile range. You won’t need to calculate standard deviation from scratch, but you do need to understand what it represents. If a question shows two data sets with the same mean but different spreads, you should be able to identify which has the larger standard deviation.
Graph and table interpretation questions present data in bar graphs, line graphs, circle graphs, scatterplots, boxplots, or frequency distributions and ask you to draw conclusions or make calculations. These tend to be time-consuming because you have to read the visual carefully before doing any math.
Probability is tested at an elementary level: compound events, independent events, and conditional probability. A typical question might ask for the probability of drawing two red marbles in a row from a bag, or the probability of an event given that another event has already occurred.
Counting methods round out this category. You’ll need to know when to use combinations (order doesn’t matter) versus permutations (order matters), and how Venn diagrams can help organize overlapping groups. The test also touches on random variables and probability distributions, including basic properties of the normal distribution, though questions rarely require heavy computation.
The Four Question Formats
All 27 math questions draw from the same content areas, but they come in four distinct formats, and each one rewards a slightly different skill set.
- Quantitative Comparison: You’re given two quantities, labeled Column A and Column B, and you choose whether A is greater, B is greater, they’re equal, or the relationship can’t be determined. These reward number sense and strategic thinking. Often the fastest approach is testing extreme values rather than solving the full problem.
- Multiple Choice (one answer): A standard five-option format where exactly one answer is correct. Backsolving, where you plug answer choices into the problem, is a powerful strategy here.
- Multiple Choice (one or more answers): Similar to the format above, but more than one answer can be correct, and you must select all correct answers to receive credit. These questions require extra care because partial credit is not awarded.
- Numeric Entry: No answer choices at all. You type your answer into a blank box (or two boxes if the answer is a fraction). These questions eliminate the possibility of guessing or backsolving, so you need to be confident in your process.
What’s Not on the Test
The GRE does not test calculus, trigonometry (beyond basic right-triangle ratios), or advanced algebra topics like logarithms and matrices. There’s no need to memorize the unit circle or learn integration. The math is genuinely limited to content most students covered by the end of 10th or 11th grade. The difficulty comes from time pressure, tricky wording, and questions that layer multiple concepts into a single problem.
An on-screen calculator is provided during the Quantitative Reasoning sections, but it’s a basic four-function calculator. It helps with tedious arithmetic but won’t solve equations for you. Most high scorers report using it sparingly, since the questions are designed to be solvable through reasoning and estimation more than raw computation.
How to Prioritize Your Study Time
If you’re deciding where to focus, data analysis and word problems tend to be the areas where test-takers lose the most points. Arithmetic and geometry formulas are relatively easy to review, but interpreting graphs under time pressure and translating word problems into equations take practice. Spend time doing timed sets of questions rather than just re-reading content. The gap between “I know this concept” and “I can solve this in 90 seconds” is where most of your score improvement will come from.
For the quantitative comparison format specifically, practice the habit of picking numbers. If a question says “x is a positive integer,” try x = 1, x = 2, and x = 100 before committing to an answer. This technique catches the traps that make these questions harder than they first appear.