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: 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.

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:

10.




Quantity A	Quantity B

The cost of p apples at a cost of r 7 cents each	The cost of 7 peaches at a cost of (p r) cents each

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.

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:


The area of square region R is 64

Quantity A	Quantity B

32	The perimeter of R

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.

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:


A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.

Quantity A	Quantity B

A solution of 1 liter of spirit and 1 liter of water costs x dollars.	A solution of 1 liter of spirit and 2 liters of water costs y dollars.

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.

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:




Quantity A	Quantity B

2(3 + 4)² + 10	2 + (3 + 4)² + 10

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

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 answer choice or choices.

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?

GRE quantitative test

	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.

Exercises of data interpretation

Example:

Directions: Questions 1 to 2 are based on the following data.

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