PSAT Math Worksheets: Free Topic Practice

Start here for integer operations, fractions, decimals, ordering, and the careful number sense that supports longer test questions.

• Comparing and Ordering Integers
• Integers and Absolute Value
• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Factors Multiples GCF and LCM
• Fractions Decimals and Rational Numbers
• Adding and Subtracting Fractions
• Multiplying Mixed Numbers
• Multiplying and Dividing Fractions
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Converting Fractions Decimals and Percents
• Real World Problems with Rational Numbers

Use these sheets for ratios, proportions, percent change, discounts, interest, unit rates, and measurement conversions.

• Simplifying Ratios
• Unit Rates
• Proportional Ratios
• Constant of Proportionality
• Scale Drawings and Scale Factors
• Converting Units of Measurement
• Percent Problems
• Finding the Whole from a Part and Percent
• Percent of Increase and Decrease
• Discount Tax and Tip
• Simple Interest
• Compound Interest
• Tips Commissions and Fees

This section reviews powers, roots, radicals, and scientific notation before algebra and data problems get heavier.

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Negative Exponents and Negative Bases
• Radicals
• Rational and Irrational Numbers
• Scientific Notation
• Operations with Scientific Notation

This is the algebra core: simplifying expressions, solving equations, handling inequalities, and translating words into math.

• When an Expression Is Undefined
• Evaluating One Variable
• Evaluating Two Variables
• Simplifying Variable Expressions
• The Distributive Property
• Introduction to Equations and Solutions
• One Step Equations
• Solving Two Step Equations
• Multi Step Equations
• Equations with Variables on Both Sides
• Literal Equations and Formulas
• One Step Inequalities
• Multi Step Inequalities
• Compound Inequalities
• Graphing Single Variable Inequalities
• Graphing Linear Inequalities

These worksheets connect slope, intercepts, graphing, distance, midpoint, systems, and equations of lines on the coordinate plane.

• The Coordinate Plane
• Finding Slope
• Graphing Lines
• Point Slope Form
• Standard Form of a Linear Equation
• Writing Linear Equations
• Parallel and Perpendicular Lines
• Systems of Equations
• Finding Midpoint
• Finding Distance of Two Points

Use these PDFs for function notation, tables, domain, range, comparing functions, and reading graphs.

• Relations and Functions
• Function Notation
• Domain and Range
• Linear vs Nonlinear Functions
• Comparing Functions
• Interpreting Graphs of Functions

This section moves through polynomial operations, factoring, quadratics, roots, and graph features.

• Adding and Subtracting Polynomials
• Simplifying Polynomials
• Multiplying Binomials
• Special Products of Polynomials
• Factoring with the Greatest Common Factor
• Factoring Trinomials
• Solving Quadratic Equations by Factoring
• The Quadratic Formula
• Graphing Quadratic Functions
• Rational Expressions

Print these for angles, triangles, circles, area, perimeter, volume, surface area, and formula-based measurement work.

• Complementary and Supplementary Angles
• Parallel Lines and Transversals
• Triangles
• The Pythagorean Theorem
• Similarity and Ratios
• Area of Triangles
• Area and Perimeter of Quadrilaterals
• Polygons
• Circles
• Area and Perimeter of Composite Figures
• Rectangular Prisms
• Cubes
• Cylinder
• Surface Area of Solids
• Volume and Surface Area of Composite Solids

These topics cover averages, spread, data displays, probability, counting, and careful reading of tables and graphs.

• Mean Median Mode and Range
• Weighted Averages and Missing Data Values
• Box Plots and Interquartile Range
• Histograms and Data Displays
• Pie Graph
• Scatter Plots and Lines of Best Fit
• Two Way Frequency Tables
• Probability Problems
• Probability of Compound Events
• Permutations and Combinations