Pre-Calculus Worksheets

Five printable worksheet generators for grades 11–12, each with three difficulty levels and an answer key.

Grades 11–12

What Pre-Calculus covers

Pre-Calculus pulls together the algebra from earlier courses and adds the ideas that calculus relies on: functions as objects that can be combined and inverted, logarithms as the inverse of exponents, the trigonometric values of special angles, patterns in sequences, and the equation of a circle.

These topics are usually taught in grades 11–12, and the exact course name and grade depend on the school and the province or state. Each worksheet generator has an Easy, a Medium and a Hard level, so a topic can be used when it is first introduced and again for review.

Pre-Calculus topics

Functions Evaluate functions, compose two functions and find inverse functions. Logarithms Evaluate logarithms and solve logarithmic equations. Trigonometry Find exact sine, cosine and tangent values and solve basic trig equations. Sequences & Series Find terms of arithmetic and geometric sequences and sums of arithmetic series. Conic Sections Read, complete and write equations of circles.

Recommended order

  1. Functions — evaluation, composition and inverses come up in every other topic.
  2. Logarithms — the inverse of exponential functions.
  3. Sequences & Series — arithmetic and geometric patterns, a gentle bridge to limits and sums.
  4. Trigonometry — exact values and basic equations.
  5. Conic Sections — circles, which also connect back to the unit circle in trigonometry.

Logarithms go much more smoothly after Exponential Equations from Algebra 2, and circles use the completing-the-square skill from Factoring Polynomials.

How to use these worksheets

  • Open a topic, choose a difficulty and the number of pages, then press Generate. Every press creates a new set of problems.
  • Printing adds an answer sheet on a separate page. The Set ID on the worksheet matches the answer sheet.
  • Each topic page also explains the method with worked examples, lists common mistakes and shows sample problems, so it can be used as a short lesson before the worksheet.