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.

Working space and answer formats

Pre-Calculus problems take more room to work out, so worksheets hold 18 problems on a page, and 12 for conic sections, where completing the square takes several lines. Every topic has Easy, Medium and Hard settings.

Trigonometry answers are exact values with square roots, such as 32\tfrac{\sqrt{3}}{2}, with angles in degrees; logarithm answers are whole numbers; circle answers give the center and radius, the equation in standard form, or both, depending on what the problem asks.