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Free 12th Grade Math Worksheets — Texas

32 free math resources for 12th Grade, organised by topic with answer sheets, study guides and topic tests.

Math builds in layers: counting leads to place value, place value to addition and subtraction, those to multiplication, division, fractions and then algebra. When a student struggles, the cause is often a gap one or two layers down. Our worksheets are organized by topic and level so you can step back to the layer that needs attention, then move forward with confidence.

12th Grade Math topics

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Compound Interest: Effective Rates and Inflation

    A senior math worksheet on comparing investments: compound interest with different compounding periods, solving for the present value,…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    Differentiating Exponential, Logarithmic and Trigonometric Functions

    A senior math worksheet on the derivatives of eˣ, ln x, sin x, cos x and tan x, combined with the chain, product and quotient rules, then…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    Geometric Series in Action: Finance, Growth and Limiting Sums

    A senior math worksheet applying geometric series: nth terms and sums, how many terms are needed to pass a target, limiting sums and…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    The Binomial Distribution

    A senior math worksheet on the binomial distribution: recognizing Bernoulli trials and binomial situations, calculating P(X = k) with the…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    Continuous Random Variables and Probability Density Functions

    A senior math worksheet on continuous random variables: checking and completing probability density functions, finding probabilities by…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    Motion in a Straight Line: Displacement, Velocity and Acceleration

    A senior math worksheet on calculus for motion along a line: finding velocity and acceleration by differentiating displacement, deciding…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    Reducing-Balance Loans: Repayment Tables and Extra Repayments

    A senior math worksheet on how a loan is paid off: building a month-by-month repayment table, writing the recurrence relation, calculating…

    Difficulty
    Level 3 · Challenge
    Time
    55 min
    Questions
    15 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Arithmetic and Geometric Sequences Worksheet — Level 1

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Differentiation (Power Rule) Worksheet — Level 1

    Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This 12th Grade…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Function Notation, Composites and Inverses Worksheet — Level 1

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Logarithms and Exponential Equations Worksheet — Level 1

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Arithmetic and Geometric Sequences Worksheet — Level 2

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Differentiation (Power Rule) Worksheet — Level 2

    Differentiate polynomial functions using the power rule. Expected-level practice for this grade. This 12th Grade worksheet has 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Function Notation, Composites and Inverses Worksheet — Level 2

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Logarithms and Exponential Equations Worksheet — Level 2

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Arithmetic and Geometric Sequences Worksheet — Level 3

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Differentiation (Power Rule) Worksheet — Level 3

    Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 12th Grade worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Function Notation, Composites and Inverses Worksheet — Level 3

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Logarithms and Exponential Equations Worksheet — Level 3

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Differentiation (Power Rule) Worksheet — Level 3 (Set 2)

    Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 12th Grade worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Integration (Polynomials) Worksheet — Level 1

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Integration (Polynomials) Worksheet — Level 2

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this grade. This 12th Grade…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    12th Grade Integration (Polynomials) Worksheet — Level 3

    Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Annuities, Loans and Depreciation

    A senior study guide to the financial models met in senior math: straight-line and declining-balance depreciation, the future and present…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Applications of Differentiation: Stationary Points and Optimization

    A senior study guide to using the first and second derivatives to find and classify stationary points and points of inflection, then…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Bivariate Data: Correlation and Lines of Best Fit

    A senior study guide to analyzing two numerical variables: describing scatterplots, interpreting Pearson's r and the coefficient of…

    Difficulty
    Level 3 · Challenge
    Time
    25 min
  • Study Guide

    Exponential Growth and Decay

    A senior study guide to the model N = N₀eᵏᵗ: finding k from data, predicting future values, half-life and doubling time, the rate of…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration and Area Under Curves

    A senior study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the x-axis,…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration Basics

    Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
  • Study Guide

    The Normal Distribution and z-scores

    A senior study guide to the bell curve: calculating z-scores, comparing results from different tests, using the 68–95–99.7 rule, reading…

    Difficulty
    Level 3 · Challenge
    Time
    25 min

Worked Examples

Step-by-step solutions to model the method.

  • Worked Examples

    Senior Calculus Practice with Worked Solutions

    Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
    Questions
    10 questions
    Answers
    Answers included
  • Worked Examples

    Senior Functions and Graphs Practice with Worked Solutions

    Ten exam-style questions on functions and their graphs: function notation, domain and range, transformations of points, composite and…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
    Questions
    10 questions
    Answers
    Answers included

Common questions

Are the answers checked?

Yes. Math worksheets are generated by checked procedures, so every answer is computed rather than typed by hand, and each answer sheet shows the working.

Which level should my child start on?

Start on Level 2 (the expected standard for the year). If they find it hard, drop to Level 1; if it's easy, try Level 3 or the next year level.

Can I print these for a class?

Yes — all resources are free to print and share for personal, classroom and homeschool use.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.