# GRE Quantitative Reasoning

Quantitative Reasoning in GRE General Test covers arithmetic, algebra, geometry, and data analysis, and 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:

 Quantity A Quantity B 25x7.39 739/4 Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined without further information.

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:
Sam travels from A to B at 10km/hr and returns at 15km/hr. Pam travels from A to B and returns at 15 km/hr.Pam takes 4 hours less than Sam does. What is the distance between A and B in kilometers?

km

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 rectangular airport runway is x feet long and y feet wide. If its length is to be made 100 feet longer, by how many square feet will its area be increased? xy + 100y xy + 100 100 ly 100l 100 y

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:
A box contains 5 chocolates with soft centers, 6 with nut centers, and 11 with hard caramel centers. Three students take turns to take a chocolate at random from the box and eat it. If the probability that all three students take soft centers is 1/x, what is the value of x?

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:

 For any positive integer n, π(n) represents the number of factors of n, inclusive of 1 and itself. a and b are prime numbers Quantity A Quantity B πA + πB π(a × b) 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:
Which term of the series 4, 2, 1,… is 1/128?

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:
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?  10 8 6 4 2

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. Each of the following is a valid conclusion that can be drawn from the information in the graphs EXCEPT: from 1970 to 1980, the number of stores increased by approximately 200 from 1970 to 2000, the number of stores approximately doubled from 1980 to 2000, the average number of employees increased by approximately 50% in 2000, there were about 75,000 employees from 1970 to 2000, the number of employees increased each decade
2. According to the graphs, which of the following is the best estimate of the total number of employees in 1990? 75,000 62,000 57,000 50,000 48,000