PSAT Math

A comprehensive guide to mastering the math concepts tested on the PSAT, including real-world applications and testing strategies.

Numbers and OperationsAlgebraic Expressions and EquationsData Analysis and Problem Solving
Functions and Their PropertiesGeometry and MeasurementSystems of Equations and Inequalities
Budgeting and Financial LiteracyTravel and Distance CalculationsSports Statistics and Analysis
Time Management on the PSATGuessing and Elimination Strategies
Numbers and Operatio...Algebraic Expression...Data Analysis and Pr...Functions and Their ...Geometry and Measure...Systems of Equations...Budgeting and Financ...Travel and Distance ...Sports Statistics an...Time Management on t...Guessing and Elimina...
Advanced Topics

Geometry and Measurement

Shapes and Spaces

Geometry is all about shapes, sizes, and how they fit together. You'll work with angles, lines, triangles, quadrilaterals, circles, and more.

Perimeter, Area, and Volume

Learn how to calculate perimeter (distance around), area (space inside), and volume (space inside 3D objects). These concepts are useful for everything from building projects to planning gardens.

Real-World Geometry

Geometry is everywhere: sports fields, architecture, and even art. The PSAT tests your ability to apply formulas and solve problems involving measurements.

Key Formulas

Some common formulas:

  • Area of a rectangle: \(A = lw\)
  • Circumference of a circle: \(C = 2\pi r\)
  • Volume of a box: \(V = lwh\)

Examples

  • Finding the area of a rectangle with length 8 and width 5: \(A = 8 \times 5 = 40\).

  • Calculating the circumference of a circle with radius 3: \(C = 2\pi \times 3 = 6\pi\).

In a Nutshell

Geometry teaches you to measure and understand the world’s shapes and spaces.

Key Terms

Perimeter
The distance around a shape.
Area
The space inside a 2D shape.
Volume
The space inside a 3D object.
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Systems of Equations and Inequalities