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AP Precalculus practice test

Q: Is this an official AP Precalculus exam?

No. StudySim writes original practice questions independently. This is not a full-length exam, an official past paper, or a predictor of an official exam score.

Q: Can I practice without signing up?

Yes. These prepared practice questions and their explanations are free to use without an account. They do not require an AI generation request.

Q: How should I use the practice results?

Use the raw number correct and topic breakdown to decide what to review. Difficulty labels are editorial estimates. Results are not converted into an official scaled score.

Q: Does this include every exam task?

No. This bank focuses on multiple-choice skills. Official exams may also require essays, free responses, performances, audio, projects, or other task formats; use official resources for those components.

StudySim's free AP Precalculus practice test has 24 sample questions with answer explanations. Build fluency with polynomial, rational, exponential, logarithmic, and trigonometric functions. Use the answer explanations to understand the reasoning, then revisit the topics that need more work.

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Sample AP Precalculus questions

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AP Precalculus Sample Questions

Practice quiz

1. For f(x) = 3x² − 2x + 1, what is the average rate of change from x = 1 to x = 3?

2. Which transformation takes y = x² to y = (x − 4)² + 2?

3. What is the end behavior of f(x) = −2x⁵ + 3x² − 1?

4. A polynomial has a zero at x = 2 of multiplicity 2 and a zero at x = −1 of multiplicity 1. How does its graph behave at these zeros?

5. For f(x) = (x² − 9)/(x − 3), what feature occurs at x = 3?

6. What is the horizontal asymptote of (4x² + 1)/(2x² − 3)?

7. If f(x) = 2x + 3, what is f⁻¹(x)?

8. Which is the domain of g(x) = 1/(x² − 4)?

9. A population starts at 800 and grows by 6% each year. Which model gives its size after t years?

10. An account has $1,000 and earns 5% annual interest compounded monthly. Which gives its value after 3 years?

11. Solve log₂(x − 1) = 3.

12. For a > 0 and b > 0, which equals ln(a²/b)?

13. A sample decays according to M(t) = 80(1/2)^(t/6), with t in hours. What is its half-life?

14. If y = 7(3)^x, what does a plot of ln y against x look like?

15. Solve e^(2x) = 11.

16. A sequence has values 5, 15, 45, 135. Which formula gives term aₙ for n ≥ 1?

17. What is the exact value of sin(π/6)?

18. For y = 3sin(2x − π) + 4, what are its amplitude and period?

19. Solve 2cos x = 1 on 0 ≤ x < 2π.

20. Which identity holds wherever both sides are defined?

21. A wheel of radius 2 m rotates through 3 radians. How far does a point on its rim travel along the circular arc?

22. A sinusoidal height has maximum 14 m, minimum 2 m, and period 8 s. Which model starts at its maximum when t = 0?

23. Which Cartesian point corresponds to polar coordinates (r, θ) = (4, 2π/3)?

24. For r = 2 + 2cos θ, which value of θ in [0, 2π] gives the largest r?

0 of 24 answered

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Exam at a glance

AP Precalculus preparation includes Polynomial and rational functions, Exponential and logarithmic functions, Trigonometric and polar functions. This StudySim bank provides original multiple-choice skill practice. Consult the official framework for the complete exam format, required tasks, and current policies.

Detail	Information
Content framework	College Board: AP Precalculus course framework

Source: College Board: AP Precalculus course framework · Last reviewed Oct 27, 2026

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AP Precalculus content areas

Polynomial and rational functions

Practice polynomial and rational functions with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Exponential and logarithmic functions

Practice exponential and logarithmic functions with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Trigonometric and polar functions

Practice trigonometric and polar functions with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Study tips for AP Precalculus

Explain your answer

Before opening the explanation, identify the evidence, calculation, or rule that supports your choice. Explain why the other choices do not fit.

Practice a weak topic

Use the topic and difficulty filters in exam prep, then review your missed questions. These difficulty labels are editorial estimates, not calibrated exam statistics.

Use official exam materials too

Pair these skill checks with official practice materials for pacing, extended responses, and any tasks not represented by multiple-choice practice.

A few useful details

AP Precalculus FAQ

Is this an official AP Precalculus exam?

No. StudySim writes original practice questions independently. This is not a full-length exam, an official past paper, or a predictor of an official exam score.

Can I practice without signing up?

Yes. These prepared practice questions and their explanations are free to use without an account. They do not require an AI generation request.

How should I use the practice results?

Use the raw number correct and topic breakdown to decide what to review. Difficulty labels are editorial estimates. Results are not converted into an official scaled score.

Does this include every exam task?

No. This bank focuses on multiple-choice skills. Official exams may also require essays, free responses, performances, audio, projects, or other task formats; use official resources for those components.

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