GRE Quantitative Reasoning Section

The Quantitative Reasoning section tests your ability to work with mathematical concepts, interpret data, and solve problems. The math doesn't go beyond what's typically covered in a high school curriculum — no trigonometry or calculus required. This guide breaks down every question type with interactive practice so you can test yourself as you go.

Section Overview

Quantitative Reasoning has 27 questions across two timed sections. An on-screen calculator (basic operations and square root) is available for all questions. The calculator handles addition, subtraction, multiplication, division, and square roots — nothing fancier. If you find yourself wishing for trig functions or logarithms, you're overcomplicating the problem.

QuestionsTimePace
Section 112 questions21 minutes~1.75 min each
Section 215 questions26 minutes~1.75 min each
Total27 questions47 minutes~1.75 min each

This measure adapts between sections: your first-section performance determines whether the second section is harder or easier. Your combined results produce a score on the 130–170 scale in 1-point increments.

No guessing penalty. Only correct answers count. Always answer every question, even if you have to guess — a blank answer is guaranteed zero points.

Important Assumptions

These rules appear in the section directions and apply to every question. They exist because the GRE is testing reasoning — not your ability to be tricked by a misleadingly drawn figure:

RuleWhat It Means for You
All numbers are real numbersNo imaginary or complex numbers will appear
Figures are in a plane unless stated otherwiseAssume 2D geometry unless told it's 3D
Geometric figures are NOT to scaleNever estimate angles or lengths from a diagram — use the given values
Coordinate systems and graphs ARE to scaleYou can visually estimate values from plotted graphs
Data charts and tables ARE to scaleBar heights, line positions, and pie slices can be read visually
Critical distinction: Geometric figures (triangles, circles, etc.) can be misleading — a triangle that looks equilateral might not be. But coordinate graphs and data displays are accurate, so you can estimate from them safely.

The Five Question Types

Within each section, questions follow a predictable order: Quantitative Comparison questions appear first, followed by Problem Solving questions (both multiple-choice types and numeric entry), with Data Interpretation sets near the end.

TypeFormatSelectPartial Credit?
Quantitative Comparison4 fixed choices (always the same)1N/A
Multiple-Choice — Select One5 choices (circles/ovals)1N/A
Multiple-Choice — Select One or MoreVariable choices (square boxes)All that applyNo
Numeric EntryNo choices — you type your answer1 value or fractionN/A
Data InterpretationShared data display + mixed question typesVariesVaries

Quantitative Comparison

What It Is

This question type is unique to the GRE — you won't find it on other standardized tests. You're shown two quantities (Quantity A and Quantity B), sometimes with additional conditions or context displayed above them. Your job is to determine the relationship between them. The four answer choices never change:

ChoiceMeaning
AQuantity A is greater
BQuantity B is greater
CThe two quantities are equal
DThe relationship cannot be determined from the information given

What It Tests

These questions measure your ability to compare mathematical quantities using reasoning, estimation, and strategic computation. They reward efficiency: the GRE wants to see if you can determine a relationship without grinding through full calculations. They also test whether you understand when information is sufficient versus when it's genuinely ambiguous.

Key Strategies

1. Plug in strategically — don't guess randomly

When quantities contain variables, testing values is often the fastest approach — but testing the wrong values wastes time. Use a systematic list of value types: positive integers, zero, negative numbers, fractions between 0 and 1, and large numbers. If any two test cases produce different relationships (e.g., one makes A larger and another makes B larger), the answer is immediately D.

The Six Numbers to Test: When plugging in, prioritize these types — they cover the edge cases the GRE exploits: (1) a positive integer like 2 or 3, (2) zero, (3) a negative integer, (4) a fraction between 0 and 1 like ½, (5) a negative fraction, (6) a large number like 100. You rarely need all six — but always test at least two different types.

2. Simplify the comparison directly

You can add, subtract, multiply, or divide both quantities by the same positive number without changing the comparison. This lets you strip away complexity. For example, comparing 3x² + 6x with 3x² + 9: subtract 3x² from both and you're just comparing 6x with 9. But be careful — never multiply or divide by a variable unless you know its sign, because multiplying by a negative number reverses the inequality.

3. Cancel common factors

When both quantities share terms, cross them out. Comparing 31 × 32 × 33 × 34 × 35 with 32 × 33 × 34 × 35 × 36? Cancel the four shared terms and you're left with 31 vs. 36. Done in seconds, no calculator needed.

4. Know when D is (and isn't) the answer

If both quantities can be computed to specific, fixed values, D is never correct — just compute and compare. D only applies when variables or unspecified conditions make the relationship genuinely ambiguous. A common mistake is choosing D out of uncertainty; another is choosing C after testing only one set of values. Always test at least two different cases before concluding C.

5. Redraw geometric figures

Since geometric figures aren't drawn to scale, a figure that looks like a specific shape may not be. If the figure isn't fully determined by the given information, try mentally redrawing it in different valid configurations. If the relationship changes, the answer is D.

Common Trap: Assuming variables are positive when no constraint is given. If the problem says "x is a number" without specifying x > 0, you must test negatives and zero. This single oversight accounts for a huge share of QC errors.

Try It: Quantitative Comparison

Practice — Quantitative Comparison
0 < a < b   and   ab = 12
Quantity A
Quantity B
a² + b²
25
Practice — Quantitative Comparison
Circle with center O has radius 6.
Equilateral triangle ABC is inscribed in the circle.
Quantity A
Quantity B
The area of triangle ABC
Half the area of the circle

Multiple-Choice — Select One

What It Is

Standard five-choice questions (labeled A through E) with circular answer bubbles. You pick exactly one answer. These cover the full range of arithmetic, algebra, geometry, and data analysis — essentially any math problem the GRE can throw at you in multiple-choice format.

What It Tests

Mathematical problem-solving across all four content areas. Many questions are word problems that require translating a scenario into equations. They also test computational accuracy — but the GRE often designs them so that working backward from the choices or using estimation is faster than solving from scratch.

Key Strategies

1. Use the fact that the answer is right there

Unlike Numeric Entry, you know the answer is one of five choices. If your computed answer isn't among them, that's a signal to recheck your work, reread the question, or reconsider your approach. This is a safety net — use it.

2. Work backward from the choices

For many problems, especially those asking "what value of x satisfies...," it's faster to substitute each choice into the equation and see which one works. Start with choice C (the middle value if they're in order) — this tells you whether to try larger or smaller values next, cutting your work in half.

3. Scan the choices to calibrate your precision

If the five choices are $10, $20, $30, $40, $50, you only need a rough estimate. If they're $29.10, $29.50, $30.00, $30.50, $31.20, you need to be precise. The spread of the choices tells you how carefully you need to compute.

4. Approximate when choices are far apart

The GRE often tests whether you can estimate efficiently. A car gets 33 mpg and gas costs $2.95/gallon — approximately how much for 350 miles? You don't need exact math: 350 ÷ 33 ≈ 10 gallons, and 10 × $3 ≈ $30. If $31.06 and $30.00 are both choices, then you'd need more precision — but often they aren't.

Don't default to algebra. Many GRE problems are designed to look like they require setting up equations, when in reality working backward from the answer choices or using estimation is significantly faster. Recognize when a brute-force approach is actually the shortcut.

Try It: Select One

Practice — Select One Answer
In a group of 120 people, 45 percent are men. After some men leave the group, 40 percent of the remaining people are men. How many men left the group?
Practice — Select One Answer
A committee of 3 people is to be randomly selected from a group of 5 men and 4 women. What is the probability that the committee will have more women than men?

Multiple-Choice — Select One or More

What It Is

These questions show square checkboxes (not circles) — your visual cue that multiple answers may be correct. You must select all correct answers and only those. The number of choices varies (often more than five), and the question may or may not tell you how many to pick. If it says "indicate all that apply," you're on your own to figure out the count.

The Scoring Catch

There is absolutely no partial credit. If three answers are correct and you select two of them, you get zero. If you get all three right but accidentally include a wrong fourth choice, you also get zero. This is the most punishing scoring rule on the Quantitative section, so thoroughness is essential.

What It Tests

The same math skills as Select One questions, but with the additional demand of systematically evaluating every option. These questions test whether you can determine boundary conditions (least and greatest possible values), recognize numerical patterns, and think about a problem from multiple angles rather than stopping after finding one answer.

Key Strategies

1. Evaluate every single choice

Don't stop after finding one answer that works. The GRE designs these questions so that students who check only a few options will miss correct answers or include wrong ones. Treat each choice as an independent true/false question.

2. Find boundary values first

If the question asks which values a variable could take, determine the minimum and maximum first. Any choice outside that range is immediately eliminated. Any choice inside the range needs individual verification.

3. Look for repeating patterns

Questions about units digits, remainders, or cyclical behavior reward pattern recognition. For example, "which could be the units digit of 57ⁿ?" The units digits of powers of 7 cycle: 7, 9, 3, 1, 7, 9, 3, 1... So the answers are 1, 3, 7, and 9 — and you can determine this without computing a single large power.

Visual cue: Circles = select one. Squares = select one or more. The GRE uses this convention consistently. If you see square checkboxes, slow down and consider that multiple answers may be required.

Try It: Select One or More

Practice — Select One or More Answers
Indicate all that apply
If f(x) = x³ − 4x, which of the following values of x give f(x) > 0?
Practice — Select One or More Answers
Indicate all that apply
If n is a positive integer and n² is divisible by 72, which of the following must be a divisor of n?

Numeric Entry

What It Is

The most demanding format: no answer choices at all. You compute your answer and type it into a box. For integers and decimals, there's a single answer box. For fractions, there are two boxes — one for the numerator and one for the denominator. Equivalent forms are always accepted: 2.5 and 2.50 are both correct, and fractions don't need to be reduced to lowest terms (so 4/6 is as good as 2/3).

What It Tests

Full computational accuracy without any choices to sanity-check against. These questions demand careful attention to what form the answer should take, what units apply, and whether rounding is specified. They also test your ability to self-verify — since you can't work backward from choices, estimation becomes your only independent check.

Key Strategies

1. Read labels and units obsessively

If the question asks for an answer "in thousands," then 50,000 should be entered as 50. If it asks for a percent, enter the number (33, not 0.33). If it asks for dollars, don't include a dollar sign. Labels before or after the answer box indicate the required format — read them.

2. Round only at the very end

If the question says "to the nearest whole percent," carry full precision through every intermediate step and round only your final answer. Rounding early can compound small errors into a wrong answer. For example, a profit of $5 on a cost of $15: (5/15) × 100 = 33.333...%, which rounds to 33%.

3. Estimate independently as a check

Without answer choices, you have no external reality check. After computing your answer, do a quick mental estimate to see if your result is in the right ballpark. If you calculated that 6 machines working together take 45 minutes to produce something, but a quick estimate suggests it should be around 6 minutes, you know something went wrong.

4. Watch the Transfer Display button

The on-screen calculator has a Transfer Display feature that copies the calculator result to the answer box. If you use it, double-check that the transferred number has the right precision and matches what the question asked for. An extra decimal or a rounding difference can cost you the point.

5. For fractions, don't overthink reduction

If the answer is 5/14, you can enter 5/14, 10/28, or any equivalent fraction. Spend your time getting the math right, not reducing.

The #1 Numeric Entry mistake: Answering a related but different question. The problem asks for 2x and you enter x. It asks for the perimeter and you compute the area. Always reread the final sentence before typing your answer.

Try It: Numeric Entry

Practice — Numeric Entry (Integer)
Two circles are tangent to each other externally, and each circle is tangent to a straight line . The larger circle has radius 9 and the smaller circle has radius 4.

94d = ?
What is the distance between the two points at which the circles are tangent to line ℓ?
Practice — Numeric Entry (Fraction)
Given the system of equations:

2/x + 3/y = 1/2
4/x − 1/y = 3/2
What is the value of 1/x? Give your answer as a fraction.
/

Data Interpretation

What It Is

Data Interpretation questions share a common data display — a table, graph, chart, or combination — with 2–5 questions attached. The questions themselves can be any of the four types above (Quantitative Comparison, Select One, Select One or More, or Numeric Entry). You'll typically see about 6 DI questions total across the two Quantitative sections, grouped into sets near the end of each section.

Data displays include tables, bar graphs, line graphs, circle (pie) charts, boxplots, scatterplots, time series, and frequency distributions. The GRE may combine multiple display types — for example, a table alongside a bar chart, each showing different aspects of the same data.

What It Tests

Your ability to extract the right numbers from complex visual displays, perform calculations on those numbers, and avoid misreading scales, units, or labels. These questions mimic real graduate-school scenarios: analyzing business data, interpreting research results, or evaluating statistical information presented in reports.

Key Strategies

1. Scan first, then focus

When the data display appears, take 15–20 seconds to understand the big picture: what variables are shown, what the units are, what time range is covered. Don't try to memorize values — let each question direct your attention to the specific numbers you need.

2. Read axes, scales, and labels carefully

This is where most DI errors happen. Check whether the y-axis says "millions" or "billions." Look for labels like "in thousands" — a bar that reads 50 might represent 50,000. Check if a scale starts at zero or is broken. Check the legend if there are multiple data series.

3. Use visual estimation — the data is drawn to scale

Unlike geometric figures, data displays on the GRE are accurately drawn. You can compare bar heights by eye, estimate line graph values from the grid, and gauge pie chart proportions visually. When a question asks for an approximate answer, estimation can save significant time.

4. Watch for percent change traps

This is the single most common DI trap. A 10% increase followed by a 10% decrease does not return to the original value. If sales were $800,000, a 10% increase gives $880,000, then a 10% decrease gives $792,000 — not $800,000. The base changes between the two calculations.

5. Use only the data given

Answer based on the presented data and basic math, not outside knowledge. Even if you know additional facts about the topic shown, restrict yourself to the information provided. The GRE is testing data interpretation skills, not domain expertise.

6. Write down your intermediate values

DI questions often require reading multiple values from the display and combining them in a multi-step calculation. Write down each extracted number before computing — this prevents the common error of misremembering a value you read 30 seconds ago.

Time tip: Since all questions in a DI set use the same data, the first question is often the slowest (you're still parsing the display). Questions 2–5 go faster because you've already internalized the data structure. Don't panic if the first DI question feels time-consuming.

Try It: Data Interpretation

Questions 9–10 are based on the following data displays.
Data Interpretation — Select One Answer
Data Display
Annual Revenue by Product Line for Nextera Inc., 2020–2024
(in millions of dollars)
Product Line20202021202220232024
Consumer$45$54$63$72$81
Enterprise$80$88$95$100$108
Government$30$33$35$40$48
Number of Employees by Product Line, End of 2024
0100200300400500600450Consumer500Enterprise200Government
For the year 2024, the revenue per employee was greatest for which product line?
Data Interpretation — Numeric Entry
Data Display
Annual Revenue by Product Line for Nextera Inc., 2020–2024
(in millions of dollars)
Product Line20202021202220232024
Consumer$45$54$63$72$81
Enterprise$80$88$95$100$108
Government$30$33$35$40$48
Number of Employees by Product Line, End of 2024
0100200300400500600450Consumer500Enterprise200Government
The percent increase in revenue for Consumer from 2020 to 2024 was how many percentage points greater than the percent increase for Enterprise over the same period?

Four Content Areas

Every question draws from one of four math domains. Each section includes questions from all four. Here's what's covered:

Arithmetic
Integer properties: divisibility, primes, remainders, odd/even
Exponents, roots, and order of operations
Fractions, decimals, percents, ratios, and rates
Absolute value and the number line
Estimation and number sequences
Algebra
Simplifying and factoring expressions
Solving linear and quadratic equations
Systems of equations and inequalities
Functions and their properties
Coordinate geometry: slopes, intercepts, graphing
Translating word problems into equations
Geometry
Lines, angles, parallel and perpendicular
Triangles: area, types (isosceles, equilateral, 30-60-90, right)
Circles: area, circumference, arcs, sectors
Quadrilaterals, polygons, and 3D figures
Perimeter, area, surface area, and volume
The Pythagorean theorem and similar/congruent figures
Data Analysis
Mean, median, mode, range, standard deviation
Quartiles, percentiles, interquartile range
Reading tables, bar graphs, line graphs, pie charts, boxplots
Probability: compound, independent, and conditional events
Counting: permutations, combinations, Venn diagrams
Normal distributions (conceptual understanding)
What's not tested: Trigonometry, calculus, proof construction, and inferential statistics. If you find yourself reaching for sine/cosine or a derivative, rethink your approach — there's a simpler path.

14 Problem-Solving Strategies

These strategies form a complete toolkit for approaching any Quantitative question. The more fluently you can shift between them, the more efficiently you'll solve problems under time pressure:

#StrategyWhen to Use
1Convert words to equationsWord problems — translate the scenario into math you can solve
2Draw a diagramSpatial or geometric problems with no figure given
3Sketch a graphFunction or inequality problems — visualize relationships
4Extract equations from figuresGeometry problems with diagrams — turn visual info into algebra
5Simplify firstComplex expressions — factor, combine terms, convert units
6Add construction linesGeometry — draw altitudes, radii, or diagonals to reveal hidden relationships
7Find a patternSequences, repeating cycles, or large exponents
8Define variables and relate themProblems with multiple unknowns
9EstimateWhen approximate answers are sufficient or for sanity checks
10Try values and refineQuantitative Comparison and 'which could be' questions
11Break into casesComplex conditions — separate into sub-problems (e.g., positive vs. negative)
12Apply known methods to similar problemsRecognize familiar problem structures
13Test whether a conclusion followsCheck if given facts logically guarantee a result
14Identify what info would be sufficientFigure out what one extra fact would let you solve it

Strategies for Success

The 3-Step Framework

For every question: (1) Understand — read carefully, identify what's being asked, note constraints. (2) Execute — pick a strategy and work through it. (3) Verify — check that your answer makes sense and that you answered what was asked (not a related but different quantity).

Time Management

At ~1.75 minutes per question, don't spend more than 3 minutes on any one problem. Flag it and move on — you can return to flagged questions before submitting the section. Easy and hard questions are worth the same, so getting to every question matters more than perfecting any single one.

Common Mistakes to Avoid

Answering the wrong thing: The question asks for 2x, you solve for x. Or it asks for perimeter, you compute area. Always reread the final sentence before submitting.

Trusting geometric diagrams: A triangle that looks equilateral might not be. Work from given measurements, never from visual appearance.

Ignoring edge cases: For Quantitative Comparison, always test 0, negatives, and fractions. These are where the answer switches to D.

Percent change on the wrong base: A 30% increase then 30% decrease leaves you below where you started. The decrease applies to the larger post-increase value.

Reversing A and B in QC: After determining which quantity is greater, make sure you select the right letter. Under time pressure, students sometimes click A when they mean B.

Calculator Usage

The on-screen calculator handles basic operations and square roots. Use it for tedious arithmetic (long division, multi-digit multiplication), but don't reach for it on every question — mental math and estimation are often faster. Many Quantitative Comparison questions are specifically designed to be solved through reasoning, not computation. The calculator can actually slow you down if you type in every sub-step instead of thinking through the problem.

Quick Reference

FeatureDetail
Total questions27 (12 + 15)
Total time47 minutes (21 + 26)
Score range130–170 (1-point increments)
CalculatorOn-screen, all questions (basic ops + √)
Guessing penaltyNone — always answer every question
AdaptiveSection 2 difficulty based on Section 1 performance
Math levelUp to second-year algebra (no trig or calculus)
Content areasArithmetic, Algebra, Geometry, Data Analysis
Question orderQC first → Problem Solving → Data Interpretation last
FiguresGeometric: NOT to scale. Graphs & data: ARE to scale