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.

How many three digit even numbers exist with distinct digits?

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: 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.

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.

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: 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 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?

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.

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]

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.


A jar of 90 marbles contains marbles of three different solid colors: red, blue and green. More than half the marbles are either red or blue.

Quantity A	Quantity B

The number of blue marbles in the jar	Twice the number of green marbles in the jar

	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.

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?

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.

Which of the following can be used to illustrate that not all prime numbers are odd?

Select one or more of the choices.

	1
	2
	3
	4

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 4 are based on the following data.

1. About how many degrees (to the nearest degree) are in the angle of the sector representing mortgages?

	59
	106
	211
	246
	318

2. The annual rate of interest from "other assets" is 4.8%. If the total assets of the bank are 57.6 million dollars, what is the annual income (in dollars) from "other assets"?

	82,944
	921,600
	1,728,000
	2,764,800
	3,600,000

3. The average annual interest on mortgage investments is m% and the average annual interest on the mortgage bond investment is b%. If the annual interest on the bond investment is x dollars, how many dollars are invested in mortgages?

	xm/b.
	xb/m.
	100xb/m
	bx/100m.
	200x/b

4. About how many degrees (to the nearest degree) are in the angle of the sector representing cash on hand?

	114
	14
	140
	39
	321