Grades 9-12
Free High School Math Worksheets
64 Math worksheets for grades 9 through 12. Topics include algebra, geometry, trigonometry, statistics, and calculus.
Calculus: Applications of Derivatives: Optimization
Using derivatives to maximize and minimize quantities
15 problems
Calculus: Applications of Integration: Area Between Curves
Set up and evaluate definite integrals to find enclosed area
15 problems
Calculus: Derivative Rules: Power, Chain, Product, Quotient
Practice finding derivatives with the main differentiation rules
15 problems
Calculus: Evaluating Limits Algebraically
Using substitution, factoring, rationalizing, and limit laws
15 problems
Calculus: Riemann Sums and the Definite Integral
Approximating area and connecting sums to integrals
15 problems
Circle Theorems and Arc Length
Using angles, chords, tangents, and arc measures in circles
15 problems
Conditional and Independent Probability
Finding probabilities with dependent and independent events
15 problems
Conic Sections: Circles and Ellipses
Writing equations and analyzing key features
15 problems
Coordinate Geometry: Distance and Midpoint
Finding lengths and middle points on the coordinate plane
12 problems
Derivatives and Differentiation Rules
Applying basic rules to find rates of change
15 problems
Determinants and Cramer's Rule
Solving linear systems with matrices
12 problems
Exponential Functions and Growth
Modeling patterns of repeated multiplication
15 problems
Factoring Polynomials
Factoring expressions using common factors, trinomials, and special patterns
15 problems
Geometry: Transformations
Translations, reflections, rotations, dilations, and composition of transformations
15 problems
Graphing Linear and Systems of Equations
Plot lines, identify slope, and solve systems by graphing
15 problems
Integration and the Fundamental Theorem of Calculus
Finding antiderivatives and evaluating definite integrals
15 problems
Integration by Parts and Substitution
Choosing and applying two core integration techniques
12 problems
Introduction to Proof: Direct and Indirect
Writing logical arguments using direct proof and proof by contradiction
12 problems
Inverse Functions and Compositions
Finding inverses and evaluating composed functions
12 problems
Law of Sines and Cosines
Solving oblique triangles with side and angle relationships
15 problems
Linear Equations
Solve one- and two-step equations, graph lines, and interpret slope and intercept.
8 problems
Linear Programming and Optimization
Model constraints, find feasible regions, and optimize objective functions
12 problems
Math: Completing the Square
Rewrite quadratic expressions and solve quadratic equations
15 problems
Math: Complex Numbers and the Imaginary Unit
Working with i, simplifying powers, and performing operations with complex numbers
15 problems
Math: Conic Sections: Hyperbolas and Parabolas
Graphing, standard forms, foci, directrices, and asymptotes
12 problems
Math: Domain, Range, and Graphs of Functions
Finding domain and range from equations, graphs, and tables
15 problems
Math: Eigenvalues and Eigenvectors
Finding special directions and scale factors for matrices
10 problems
Math: Euler's Method for Differential Equations
Approximating solutions to differential equations step by step
10 problems
Math: First-Order Linear Differential Equations
Solving linear differential equations with integrating factors
12 problems
Math: Hyperbolic Functions and Their Inverses
Using definitions, identities, graphs, and inverse functions
12 problems
Math: Improper Integrals and Convergence Tests
Evaluating improper integrals and deciding convergence
12 problems
Math: Limits and Continuity
Evaluating limits and identifying continuity
15 problems
Math: Logarithms and Exponential Equations
Using logarithms to rewrite, evaluate, and solve exponential relationships
15 problems
Math: Logic and Truth Tables
Evaluating statements with logical operators
15 problems
Math: Parametric Equations and Polar Coordinates
Connecting parametric forms, polar forms, and Cartesian graphs
15 problems
Math: Partial Fractions and Integration
Decompose rational functions and use them to evaluate integrals
12 problems
Math: Pascal's Triangle and the Binomial Theorem
Expanding binomials and finding coefficients
12 problems
Math: Permutations and Combinations
Counting outcomes with order and selection
15 problems
Math: Precalculus: Polar Coordinates and Graphs
Convert, interpret, and graph equations in polar form
15 problems
Math: Slope Fields and Direction Fields
Visualizing differential equations with slopes
10 problems
Math: Systems of Inequalities
Solving and graphing systems of linear inequalities
15 problems
Math: Taylor and Maclaurin Series
Approximating functions with polynomials
12 problems
Math: Trigonometric Sum, Difference, and Double-Angle Identities
Use identities to simplify, evaluate, and solve trigonometric expressions
12 problems
Math: Unit Circle and Trigonometry
Using angles, coordinates, and trig values on the unit circle
15 problems
Math: Vectors and Vector Operations
Adding, subtracting, scaling, and interpreting vectors
15 problems
Matrix Operations and Solving Systems
Practice with matrix arithmetic, determinants, inverses, and system solving
15 problems
Normal Distribution and Probability
Using mean, standard deviation, and z-scores to find probabilities
15 problems
Piecewise and Step Functions
Evaluating, graphing, and modeling functions with intervals
12 problems
Polynomial Operations
Adding, subtracting, and multiplying polynomials
15 problems
Power Series and Radius of Convergence
Using ratio tests, centers, and endpoints
12 problems
Precalculus Vectors: Magnitude, Direction, and Operations
Finding vector length, angle, components, sums, and products
15 problems
Precalculus: Arithmetic and Geometric Sequences
Finding terms, formulas, and sums for common sequence patterns
15 problems
Precalculus: Exponential and Logarithmic Functions
Solving, graphing, and modeling with exponentials and logarithms
15 problems
Precalculus: Parametric Equations
Graphing, interpreting, and converting parametric relationships
15 problems
Precalculus: Rational Functions and Asymptotes
Analyze vertical, horizontal, slant asymptotes, holes, and key graph features
15 problems
Precalculus: Trigonometric Identities
Simplifying, verifying, and applying trigonometric identities
15 problems
Probability and Counting Principles
Using counting methods to find probabilities
15 problems
Quadratic Equations
Solving and analyzing quadratic equations
15 problems
Quadratic Functions and Parabolas
Graphing, analyzing, and solving quadratic relationships
15 problems
Rational Expressions and Equations
Simplifying, combining, and solving with rational expressions
15 problems
Separable First-Order Differential Equations
Solving differential equations by separating variables
12 problems
Sequences and Series: Arithmetic and Geometric
Finding patterns, rules, terms, and sums
15 problems
Systems of Equations
Solving pairs of linear equations
15 problems
Trigonometry Right Triangles
Using sine, cosine, and tangent in right triangles
15 problems
Showing all 64 high school Math worksheets