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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Quantitative comparison

Numeric Entry

Word Problem

Data Interpretation

Arithmetic

Algebra

Geometry

Data Analysis

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

- 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

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: Select answer choice or choices.

Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

4 | |

7 | |

8 | |

12 | |

it cannot be determined from the information given. |

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: 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.

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.

Quantity A | Quantity B |

Discount in dollars on $60 at the rate of 4 percent | Discount in dollars on $40 at the rate of 6 percent |

Quantity A is greater. | |

Quantity B is greater. | |

The two quantities are equal. | |

The relationship cannot be determined without further information. |

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: 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.

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.

10.

JL = KM | |

Quantity A | Quantity B |

JK | LM |

Quantity A is greater. | |

Quantity B is greater. | |

The two quantities are equal. | |

The relationship cannot be determined from the information given. |

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: 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.

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.

The number of students in class A is 10 less than twice the number of students in class B. There are x students in class B. | |

Quantity A | Quantity B |

The number of students in class A | 2x - 10 |

Quantity A is greater. | |

Quantity B is greater. | |

The two quantities are equal. | |

The relationship cannot be determined without further information. |

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 comparisonExample:

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.

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.

Exercises of numeric entryExample:

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 breadth of a rectangle becomes one and a half times itself and the length increases by 40%. What is the percentage change in the area of the rectangle?

%

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 problemExample:

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.

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 interpretationExample:

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 |

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