GRE Quantitative Reasoning

The GRE Quantitative Reasoning section assesses your ability to understand, interpret, and analyze quantitative information, as well as to solve problems using mathematical concepts.

Arithmetic and Number PropertiesAlgebraic Expressions and EquationsData Interpretation
Geometry and MeasurementStatistics and ProbabilityWord Problems and Quantitative Comparisons
Personal Finance DecisionsData Analysis in CareersTravel and Logistics
Time Management TechniquesSmart Guessing and EliminationCareful Reading and Rechecking
Arithmetic and Numbe...Algebraic Expression...Data InterpretationGeometry and Measure...Statistics and Proba...Word Problems and Qu...Personal Finance Dec...Data Analysis in Car...Travel and LogisticsTime Management Tech...Smart Guessing and E...Careful Reading and ...
Advanced Topics

Geometry and Measurement

Shapes, Space, and Sizes

Geometry focuses on properties of shapes, including angles, lengths, perimeters, areas, and volumes.

Key Concepts

  • Triangles: The sum of angles is \( 180^\circ \). Area: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).
  • Circles: Circumference: \( 2\pi r \), Area: \( \pi r^2 \).
  • Rectangles: Area: \( l \times w \), Perimeter: \( 2l + 2w \).

Measurement questions may also involve converting between units (inches to feet, etc.).

Tips

  • Memorize key formulas for common shapes.
  • Draw diagrams for complex questions.

Key Formula

\[A = \pi r^2\]

Examples

  • Find the area of a circle with radius 4.

  • Calculate the perimeter of a rectangle with sides 5 and 7.

In a Nutshell

Geometry deals with the properties and measurements of shapes and spaces.

Key Terms

Perimeter
The total distance around a shape.
Area
The size of a surface enclosed within a shape.
Volume
The amount of space inside a three-dimensional object.
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Statistics and Probability