GRE Quantitative Reasoning - GRE 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:

Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.

If the sum of 7 consecutive numbers is 0, what is the greatest of these numbers?

Exercises of arithmetic topics

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:

Directions: Select a single answer choice or multiple choice.

On a certain day, an employee worked from 8:02 a.m. until 4:27 p.m. and took off ¾ hour for lunch. If the employee did not take any other breaks, how many hours did the employee work for?

	4.4
	7.15
	7.25
	7.65
	8.4

Exercises of algebra topics

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:

Directions: Select answer choice or choices.

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

Select ALL that apply.

	24
	20
	5

Exercises of geometry topics

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:

Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.

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?

Exercises of data analysis topics

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.

Exercises of quantitative comparison

Example:

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

A symbol that appears more than once in a question has the same meaning throughout the question.


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.

Exercises of numeric entry

Example:

Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.

Working together, two water pumps A and B can fill a water tank in 3 hours. Working alone pump A can fill the tank in 4 hours. How long does it take pump B, working alone, to fill the same tank?

hours

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.

Exercises of word problem

Example:

Directions: Select a single answer choice or multiple choice.

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 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.

Exercises of data interpretation

Example:

Directions: Questions 1 to 3 are based on the following data.

1. If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008?

	$727,200
	$792,000
	$800,000
	$880,000
	$968,000

2. At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008?

Give your answer to the nearest 0.1 percent.

3.Based on the information given, which of the following statements must be true?

Indicate all such statements.

	For 2008 the dollar amount of sales at Store R was greater than that at each of the other four stores.
	The dollar amount of sales at Store S for 2008 was 22 percent less than that for 2006.
	The dollar amount of sales at Store R for 2008 was more than 17 percent greater than that for 2006.