Precalculus State Practice Tests

Authentic state assessments covering all Precalculus topics — functions, trigonometry, conics, sequences, vectors, and limits. Each test has 30 questions with full solutions.

150 Total Questions
Complete Solutions
Instant Scoring

Message from Mr. Augustine

These five state practice tests represent the full breadth of Precalculus — from advanced function analysis and trigonometric identities to conic sections, sequences, vectors, and an introduction to limits. Work through each test carefully, show your reasoning, and use the step-by-step solutions to understand every concept deeply. Precalculus is your bridge to calculus and beyond — master it here!

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Topics Covered Across All Tests

Functions & Inverses

Composition, inverses, transformations, difference quotient, piecewise functions

Trigonometry

Identities, equations, sum/difference formulas, double-angle, inverse trig

Conic Sections

Circles, parabolas, ellipses, hyperbolas — equations, foci, vertices, eccentricity

Exponential & Logarithmic

Growth/decay models, natural log, solving equations, real-world applications

Sequences & Series

Arithmetic, geometric, sigma notation, Binomial Theorem, infinite series

Vectors & Limits

Dot product, magnitude, parametric equations, limit laws, continuity

Test-Taking Strategies

Identify the Topic

Before solving, identify which concept applies — trig identity, limit law, conic form, etc.

Show All Steps

Write out every step. Partial credit comes from correct process, not just the final answer.

Check Your Work

Substitute answers back. For logs, verify the domain. For trig, check the quadrant.

Pace Yourself

Spend ~3 minutes per question. Skip hard ones and return with fresh eyes.

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