AP Exam Prep · AP Precalculus

AP Precalculus Practice Exam: Full-Length Multiple Choice

Test yourself on everything the AP Exam covers in one sitting. These 42 questions come from Units 1–3 in proportion to the real exam, each with a worked solution, so your score by unit shows where to focus before test day.

Questions:
42 multiple choice
Time:
105 minutes (optional timer)
Units:
1–3 (the tested units)
Cost:
Free, no sign-up

On the real exam you have 105 minutes for 42 questions. Start the timer to practise at exam pace.

Question 1 of 42 · 0 answered

Question 1

Topic 1.1 · Data analysis

Graph of y = f(x)
The graph of y = f(x) for −2.5 ≤ x ≤ 2.5. It rises to a local maximum at (−1, 2), falls to a local minimum at (1, −2), then rises again. It crosses the x-axis at about x = −1.73, x = 0 and x = 1.73.−3−2−1123−4−224xy(−1, 2)(1, −2)

On which interval is f decreasing?

How sure are you?

Jump to a question

You can change any answer before submitting.

What the exam covers

The multiple-choice section samples Units 1–3; Unit 4 is taught in the course but not tested. Each unit page has its key ideas, common mistakes and a full unit test.

  • Unit 1 · 30–40% of the exam

    Polynomial and Rational Functions

    Average rate of change is a slope: The average rate of change of f on [a, b] is (f(b) − f(a)) ÷ (b − a), the slope of the secant line. Linear functions have a constant rate of change; quadratics have rates of change that change at a constant rate, so their second differences over equal steps are constant.

  • Unit 2 · 25–40% of the exam

    Exponential and Logarithmic Functions

    Linear adds, exponential multiplies: Over equal input steps a linear function adds the same amount and an exponential function multiplies by the same ratio. In f(x) = a·bˣ, a is the initial value and b is the growth (b > 1) or decay (0 < b < 1) factor; growth of r% per step means b = 1 + r.

  • Unit 3 · 30–35% of the exam

    Trigonometric and Polar Functions

    The unit circle defines sine and cosine: For an angle θ in standard position, the point where its terminal ray meets the unit circle is (cos θ, sin θ), and tan θ = sin θ ÷ cos θ is the slope of the ray. Learn the values at multiples of π/6 and π/4.

Practice exam FAQs

How is this practice exam like the real AP Precalculus exam?

It has 42 multiple-choice questions, the number in Section I from May 2027, drawn from Units 1–3 in line with their exam weighting: 15 from Unit 1 (30–40%), 13 from Unit 2 (25–40%) and 14 from Unit 3 (30–35%). The optional timer gives you the real section's 105 minutes (65 for Part A and 40 for Part B).

Do I need a calculator?

No. Every question here can be done without one, like Part A of the real exam. On exam day, Part B (13 questions) needs a graphing calculator, so practise using yours for graphs, intersections and regressions as well.

Where do the questions come from?

They are original StudyCoach questions drawn from our unit test banks, mapped to the College Board's course framework. They are not released College Board questions. If you have already taken our unit tests, some questions will look familiar.

Does it include free-response questions?

This page is the multiple-choice section. Practise the free-response section on our FRQ practice page, which has one original question of each of the four official types, with scoring guides.

Is it good for a final exam or midterm review?

Yes. Because it covers every tested unit, it works as a cumulative review. Use the score by unit to decide which unit tests to retake before your final, midterm or the AP exam.

Original StudyCoach questions mapped to the College Board course framework; every answer key was checked by a separate AI review. AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, StudyCoach.