# GRE Quantitative Reasoning

Quantitative Reasoning in the GRE General Test covers arithmetic, algebra, geometry, and data analysis. Its question types are usually quantitative comparison, numeric entry, word problem, and data interpretation. Here, we offer hundreds of GRE math exercises grouped by content and question type to practice online.

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 Overview and Practice of GRE Quantitative Reasoning
1 Overview
GRE general test includes a math-related section: quantitative reasoning. It evaluates the ability to reason quantitatively and to address problems with quantitative methods, or say necessary mathematical skills.

The questions are in two sorts:
• Pure mathematical problems: answer by math knowledge only
• Word problems: answer by modeling problems mathematically
The mathematical symbols, terminology, and conventions in the Quantitative Reasoning worksheets are understandable at the high school level. Besides, there are some other assumptions listed in the Quantitative Reasoning section directions:
• All numbers used are real numbers.
• All figures are in a plane unless otherwise indicated.
• Geometric figures are not necessarily drawn to scale.
• Coordinate systems are drawn to scale
You can use a calculator in the test, but you cannot use your own calculator. In the computer-based GRE test, the calculator is provided on-screen; as for paper-delivered test, the test center will offer a basic calculator. You may get latest and official information of GRE Quantitative Reasoning from Quantitative Reasoning Measure.

2 GRE Quantitative Reasoning
GRE Quantitative Reasoning isn't real math test. It doesn't test all high school math skills; for example, it does not include trigonometry, calculus, or other higher-level mathematics. Instead, it just covers four primary math parts: arithmetic, algebra, geometry, and data analysis.

Arithmetic Topics include properties and types of integers, arithmetic operations, exponents and roots, and concepts of estimation, percent, absolute value, the number line, and decimal representation.

Example:
How many three digit even numbers exist with distinct digits?

Algebra Topics include operations with exponents; algebraic expressions; equations and inequalities; linear and quadratic equations and inequalities; and coordinate geometry, including graphs of functions, intercepts and slopes of lines.

Example:
The product of the positive numbers is 300 and the sum of their squares is 25 more than two times their product. Find the sum of the two numbers.

Geometry Topics include parallel and perpendicular lines, circles, triangles, quadrilaterals, other polygons, three-dimensional figures, area, perimeter, volume, and angle measurement in degrees. (Not need to construct proofs of geometry.)

Example:
A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12*2cm, then how many times √3 sq.cm. is the area of the triangle?

Data Analysis Topics include basic descriptive statistics; interpretation of data in tables and graphs; elementary probability; conditional probability; random variables and probability distributions, including normal distributions; and counting methods, such as combinations and permutations.

Example:
Find the probability of the occurrence of exactly one of A and B when P(AUB) = 0.59 and the probability of the occurrence of both A and B is 0.01.[AUB = A union B]

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3 GRE Quantitative Reasoning Question Type
GRE Quantitative Reasoning has four common types of questions. A question may be promoted in two ways: either independently as a discrete question or as part of a set of questions, the latter case is usually in Data Interpretation whose all questions are based on the same data source, like tables or graphs.

Quantitative Comparison is the primary type in GRE quantitative reasoning and usually ask you select one answer choice from multiple options.

Example:

 Quantity A Quantity B The greatest prime factor of 36 The greatest prime factor of 48
 Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined without further information.

Numeric Entry needs you calculate the answer; some Words Problem question also needs you give the numeric answer after modeling.

Example:
How many three digit even numbers exist with distinct digits?

Word Problem emphasizes to translate the problem to the mathematical model, you need to calculate the answer, select one or more choices from multiple options.

Example:
If a2 = 12, then a4 =

 144 72 36 24 16

Data Interpretation usually has a set of questions based on the same data source; the problems are diversity, like calculating the answer, selecting one or more choices from multiple options.

Example:

1. According to the results of this sample survey, what is the proportion of total expenditure on food to total expenditure for all the sampled households taken together?

 58% 36.7% 63.3% 71% Cannot be determined
2. What is the difference, approximately, between the gross expenditure of the sampled households in the Rs.95-110 expenditure class and in the Rs.180-215 expenditure class?

 372000 448000 496000 93.8 52.3