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AP Precalculus

Bank college precalculus credit and strengthen your math foundation.

Researched and maintained by Advanced Placement & college-credit desk · Figures last verified August 2026

Verified against College Board sources Moderate
Awarded by College Board
Exam fee $99 (US) / $129 (intl)
Length 2 hours 55 minutes
Pass mark 3 (1-5 scale)
AP Precalculus — quick facts at a glance: requirements, exam format, fees and timeline
AP Precalculus — verified snapshot

The short version

What is the AP Precalculus and is it worth it?

AP Precalculus is a hybrid digital exam: 42 multiple-choice questions in 105 minutes and four free-response questions in 70 minutes. Scored 1-5, a 3 generally earns college precalculus credit.

  • Equivalent to a college precalculus course
  • Builds the modeling foundation for calculus and STEM
  • Hybrid digital (Bluebook MCQ, paper FRQ)
  • Good stepping stone before AP Calculus

What is it?

What exactly is the AP Precalculus?

Bank college precalculus credit and strengthen your math foundation.

AP Precalculus prepares students for college calculus and science courses through deep work with polynomial, rational, exponential, logarithmic, trigonometric, and polar functions. The hybrid digital exam pairs 42 multiple-choice questions with four free-response questions. A 3 typically earns credit for a college precalculus or quantitative-reasoning course.

About College Board: The College Board is a nonprofit membership association of more than 6,000 schools, colleges and universities that owns the SAT Suite of Assessments, the Advanced Placement program and the CSS Profile. Since spring 2024 every test in the SAT Suite has been delivered digitally and adaptively through the Bluebook application, and the four assessments share one vertical score scale so a student can track growth from eighth grade to senior year.

The path in brief

  1. Join AP Precalculus via My AP
  2. Study Units 1-3 (Unit 4 optional)
  3. Practice graphing-calculator FRQs
  4. Use AP Classroom progress checks
  5. Sit the hybrid digital exam in May

Before you book

Who is eligible to sit the AP Precalculus?

Prerequisites: Strong algebra II and trigonometry background are expected.

Who it is for: High-school students strengthening math before calculus

The test itself

What is the format of the AP Precalculus?

The AP Precalculus is administered by School-administered, Bluebook + paper FRQ and runs 2 hours 55 minutes, contains 42 multiple choice + 4 free response questions and requires 3 (1-5 scale) to pass.

Administered bySchool-administered, Bluebook + paper FRQ
Questions42 multiple choice + 4 free response
Time limit2 hours 55 minutes
Pass mark3 (1-5 scale)
Exam fee$99 (US) / $129 (intl)
FormatHybrid digital

Content outline

What topics are on the AP Precalculus?

The AP Precalculus is weighted across 4 domains; the largest are Unit 1: Polynomial and Rational Functions (30-40%), Unit 3: Trigonometric and Polar Functions (30-35%), Unit 2: Exponential and Logarithmic Functions (25-40%).

Weightings come from the official exam outline. Study time is best allocated in roughly these proportions rather than evenly across domains.

  • Unit 1: Polynomial and Rational Functions 30-40%

    Rate of change, zeros

  • Unit 2: Exponential and Logarithmic Functions 25-40%

    Growth, logarithms

  • Unit 3: Trigonometric and Polar Functions 30-35%

    Periodic, polar

  • Unit 4: Parametric, Vector, Matrix Functions Not assessed

    Optional enrichment

Study materials

Which study guide should you use for the AP Precalculus?

Start with the exam sponsor's official content outline. If you also want one structured resource to work through, these are the Mometrix titles that match this exam.

This links to Mometrix's AP range rather than a single AP Precalculus title. Check that it lists an edition for AP Precalculus before you buy.

Affiliate links We may earn a commission if you buy through these links, at no extra cost to you. Mometrix has no say in what our exam guides cover. How we make money.

Money & time

How much does the AP Precalculus cost?

For the AP Precalculus, the exam fee is $99 (US) / $129 (intl); the all-in cost is typically $99-$169; most candidates spend 1 school year preparing.

Cost breakdown

AP exam fee (US, territories, Canada, DoDEA)$99
AP exam fee (international)$129
Late order or unused/canceled exam$40
Fee reduction for eligible students-$37
Prep materials (optional)$0-$40
Typical total$99 US / $129 intl (eligible students pay ~$53 / ~$83); late or canceled adds $40

Fees are the 2025-26 AP charges. Schools may add a local administrative fee; the College Board fee reduction lowers the base by $37.

Timeline

  1. Enroll in the AP course Fall
  2. Study the three assessed units Aug-May
  3. Practice calculator FRQs 2-3 months
  4. Take the hybrid exam May
  5. Receive scores Early July

Typical prep: 1 school year

The path

How do you register for the AP Precalculus?

  1. 1

    Create a College Board account10 minutes

    Register at collegeboard.org with your legal name exactly as it appears on the photo ID you will bring on test day. One account covers the SAT, the PSAT-related assessments, AP and BigFuture.

  2. 2

    Choose a weekend SAT date or let your school register you20 minutes

    The SAT is booked directly by the student for weekend national administrations. PSAT 8/9, PSAT 10 and the PSAT/NMSQT are ordered and scheduled by the school, so for those you speak to your counselor rather than registering yourself.

  3. 3

    Pay the fee or claim a fee waiver5 minutes

    The US SAT registration fee is 68 dollars; international test takers add a regional fee of 43 dollars and, at some centres, a further test centre fee. Eligible US students get the SAT free through a counsellor-issued fee waiver, which also unlocks unlimited free score sends.

  4. 4

    Install Bluebook and complete exam setup30 minutes

    Download the free Bluebook app to your own laptop or tablet, or use a school-managed device, then run exam setup in the five days before test day to download the test and get your admission ticket.

    Students who skip exam setup can be turned away or delayed at check-in.

  5. 5

    Practise with Bluebook full-length tests and Khan Academy4 to 12 weeks

    Six free adaptive full-length practice tests sit inside Bluebook, and Official Digital SAT Prep on Khan Academy is free and keyed to the same content domains.

  6. 6

    Test, then review scores onlinetest day

    Arrive with your admission ticket, acceptable photo ID and a charged device. Scores post to your College Board account, typically within about two weeks for weekend SAT dates.

Preparing for it: Everything a student strictly needs is free: Bluebook practice tests, Official Digital SAT Prep on Khan Academy, and the Question Bank. Paid courses from Kaplan, Princeton Review and independent tutors are widely used but are not affiliated with the College Board and add nothing to the official content specification.

The fine print

What are the retake and renewal rules for the AP Precalculus?

Proctoring & delivery
All SAT Suite tests are taken in Bluebook on a laptop or tablet, in a school or an authorised weekend test centre, under a live human proctor. There is no at-home option. Bluebook locks the device, and a built-in Desmos graphing calculator and formula sheet are available throughout the Math section; you may also bring your own approved non-CAS calculator.
Retake policy
There is no limit on SAT attempts and no mandatory waiting period beyond the eight national dates offered each year. The PSAT-related assessments are given once per school year per grade band and are not retaken on demand. Most selective colleges superscore across SAT sittings, taking your best Reading and Writing score and your best Math score.
Score reporting
The SAT reports a 400 to 1600 total built from two 200 to 800 section scores. The PSAT/NMSQT and PSAT 10 report 320 to 1520 with 160 to 760 sections, and the PSAT 8/9 reports 240 to 1440 with 120 to 720 sections, so results across the suite sit on one comparable scale. PSAT/NMSQT reports also carry an NMSC Selection Index of 48 to 228.
Recertification
SAT Suite scores do not expire and never need renewal, but colleges commonly ask for a score from within the last five years and most students test in the spring of eleventh grade and again in the autumn of twelfth grade. Only a PSAT/NMSQT taken in eleventh grade enters the National Merit competition.
Refunds & rescheduling
Cancelling an SAT registration by the change deadline costs 34 dollars; cancelling after the deadline but before test day costs 44 dollars. Changing test centre costs 34 dollars, and late registration costs 38 dollars. Fee-waiver students are not charged for cancellation or late registration.

Context

The digital SAT Suite compared

AssessmentGradesScore scaleLength
PSAT 8/9 8 and 9240 to 14402h 14m
PSAT 10 10 (spring)320 to 15202h 14m
PSAT/NMSQT 10 and 11 (autumn)320 to 15202h 14m
SAT 11 and 12400 to 16002h 14m

What it pays

How much does this credential pay?

AP Precalculus has no direct salary outcome — its value is placement and preparation for the calculus sequence, and the earnings impact flows through the bachelor’s-degree premium and the STEM and quantitative majors that precalculus unlocks, rather than through credit.

The direct salary answer for AP Precalculus is the college-readiness story shared by the newer AP exams: the BLS does not publish a wage for AP scores because the AP program is a college-credit and placement system, not a job credential, so the earnings context is the education-return premium — workers with a bachelor’s degree earn substantially more over a career than high-school-only workers — plus the specific value of proving readiness for the calculus sequence before arriving on campus. Precalculus is the course that sits between algebra and calculus, and its honest value proposition is different from the higher AP math exams: because precalculus is generally below the level of a college course that earns credit, the College Board itself notes that some colleges do not grant credit for it, and its real payoff is placement and preparation — demonstrating mastery of the functions work that calculus assumes, and in some cases satisfying a math prerequisite or a general-education math requirement where a college accepts it. The exam itself is 2 hours 55 minutes: 42 multiple-choice questions in 1 hour 45 minutes (62.5 percent of the score, split into a calculator-free part and a graphing-calculator part) and 4 free-response questions in 1 hour 10 minutes (37.5 percent), scored 1-5. The exam launched in May 2024 and its structure has been updated since, so candidates should confirm the current blueprint. The honest caveat is that credit is the wrong reason to take this exam at many schools — confirm the target college’s policy on precalculus credit before investing the semester.

MeasureFigureSource / note
Score scale1-5Credit varies; placement and readiness are the primary value
Exam length2h55m42 MC (1h45m) + 4 FRQs (1h10m)
ContentUnits 1-3Polynomial/rational, exponential/logarithmic, trigonometric/polar functions
Salary impactIndirectPlacement and preparation for the calculus sequence

Job growth.AP Precalculus is the newest AP math exam, first administered in May 2024, and its volume is growing as the course expands access to the calculus sequence for students who would otherwise enter college math underprepared.

Source: College Board AP Precalculus course page

Your odds

What are the pass rates?

The College Board publishes AP Precalculus score distributions, not pass rates; in the 2025 administration 81% of test-takers scored 3 or higher, with 28% scoring 5 — among the highest qualifying rates of the AP math exams.

The direct answer on pass rates requires precision: the College Board does not publish a "pass rate" for AP exams because scores are reported on a 1-5 scale and each college defines what score qualifies, but it does publish the annual score distribution, and that is the closest published statistic. For AP Precalculus, the 2025 distribution was 28% scoring 5, 26% scoring 4, 27% scoring 3, 11% scoring 2 and 8% scoring 1, which puts 81% of test-takers at 3 or higher — a qualifying rate at or near the top of the AP math family, which is expected for a pre-calculus course pitched below the college-level math exams. The structure is fixed and published: 2 hours 55 minutes total, with 42 multiple-choice questions in 1 hour 45 minutes (62.5 percent, split into 29 calculator-free questions in 65 minutes and 13 graphing-calculator questions in 40 minutes) and 4 free-response questions in 1 hour 10 minutes (37.5 percent, with 2 graphing-calculator questions in 35 minutes and 2 calculator-free questions in 35 minutes, each FRQ worth 6 points). The content covers units 1-3: polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions. The practical read on difficulty: the exam rewards modelling real-world contexts and communicating reasoning, so candidates who practise writing the rationale the scoring expects score higher than candidates who compute fluently but explain weakly, and the calculator-free parts reward the algebra fluency the calculus sequence will assume. Because the credit value depends on the college’s policy — and many colleges treat this exam as placement-only — check the target institutions’ policy before deciding that a 3, 4 or 5 is the goal.

Read this before quoting the number.The College Board publishes score distributions, not pass rates; whether a 3, 4, or 5 "passes" depends on each college’s policy, and for Precalculus many colleges grant placement rather than credit. The 2025 figures above are 28/26/27/11/8 with 81% at 3+, and percentages shift by year — the College Board’s annual report is authoritative.

Source: College Board AP score distribution report and AP Precalculus exam description

Your schedule

How long should I study for it?

40-70 hours over 8-12 weeks of focused study

An efficient AP Precalculus study plan is 40-70 hours over 8-12 weeks, because the exam is a function-and-model test where the fastest score gains come from mastering the three tested units — polynomial and rational, exponential and logarithmic, and trigonometric and polar functions — and drilling the four free-response formats that reward modelling and written rationale. The College Board course and exam description is the scope map: the course has four units but the exam tests units 1-3, with unit 4 (functions involving parameters, vectors and matrices) not examined, and the paper splits into 42 multiple-choice questions in 1 hour 45 minutes and 4 free-response questions in 1 hour 10 minutes. The study window should split into function-family mastery (weeks 1-6), free-response and modelling practice (weeks 7-9) and full practice exams (weeks 10-12): the exam rewards moving fluently between the symbolic, graphical, numerical and verbal representations of a function, so candidates who practise translating a context into an equation and back score far higher than candidates who drill isolated skills. The free responses each have a published role — function concepts, modelling a non-periodic context, modelling a periodic context and symbolic manipulations — and candidates who rehearse those four formats against the past-FRQ materials with scoring guidelines find the written section predictable. The final two weeks should be full practice exams at the real format, including the two calculator and two calculator-free parts with their separate clocks, because the pacing and the calculator policy are the two things candidates underestimate most, and the exam’s structure has been updated since launch, so confirm the current blueprint before planning.

  1. Weeks 1-36-8 hrs/week

    Polynomial and rational functions

    • Master function notation, domain, range and the graphing of polynomial functions
    • Study rational functions: asymptotes, holes and end behaviour
    • Practise solving equations and inequalities in one variable
  2. Weeks 4-67-9 hrs/week

    Exponential, logarithmic, trig and polar functions

    • Master exponential and logarithmic functions: properties, graphs and modelling
    • Study the trigonometric functions, the unit circle and solving trig equations
    • Cover polar functions and modelling periodic contexts with sinusoidal functions
  3. Weeks 7-97-9 hrs/week

    Free-response and modelling practice

    • Drill the four FRQ formats: function concepts, non-periodic and periodic modelling, symbolic manipulations
    • Practise translating real-world contexts into equations and justifying the reasoning
    • Write each FRQ under the real timing and score it against the guidelines
  4. Weeks 10-126-8 hrs/week

    Full exams and readiness

    • Take two full practice exams at the real 2h55m format with the calculator parts
    • Re-lab every missed function family and FRQ type until clean
    • Confirm exam-day logistics, the calculator and registration

Adjusting the pace

Taking the course in school.Budget the lower end and weight time toward the four FRQ formats and full practice exams, which classroom work covers least.

Self-study.Budget the upper end and add a structured review book or course; the three function families build on each other, so an ordered sequence helps.

Already strong in algebra.Six to eight weeks. Spend the recovered time on trigonometric and polar functions and on the modelling FRQs, which are the least algebra-like parts of the paper.

How to study

How do I prepare most effectively?

The dominant prep strategy for AP Precalculus is mastering the three tested function families and drilling the modelling free responses, because the exam rewards moving fluently between the symbolic, graphical, numerical and verbal representations of a function, and candidates who practise translating contexts into equations score higher than candidates who drill isolated skills. First, use the College Board course and exam description as the checklist: units 1-3 are tested, unit 4 is not, and the exam formats, the calculator policy and the four FRQ roles are published, with the past free-response questions and scoring guidelines showing exactly how the written rationale is graded. Second, build fluency across the three function families — polynomial and rational, exponential and logarithmic, and trigonometric and polar — because every section draws on them and the exam expects you to recognise a function type from its graph, table or equation instantly. Third, rehearse the modelling process deliberately: reading a real-world context, choosing the function type, building the model and justifying the choice in writing, because the two modelling free responses reward exactly that sequence. Fourth, drill the calculator-free parts as seriously as the calculator parts, because the no-calculator sections reward the algebra fluency the calculus sequence assumes, and candidates who rehearse only with a calculator struggle there. Fifth, run full practice exams at the real format, because the exam has separate clocks for its four parts and the pacing is a genuine constraint. Finally, confirm the target colleges’ policy on precalculus credit and placement, because for this exam the value is often placement rather than credit.

Master the three tested function families

Polynomial and rational, exponential and logarithmic, and trigonometric and polar functions appear everywhere; recognise each type from its graph, table and equation instantly.

Rehearse the modelling process

The modelling FRQs reward reading a context, choosing the function type, building the model and justifying the choice; drill that sequence in writing.

Practise the calculator-free parts

The no-calculator sections reward the algebra fluency calculus will assume; rehearse them as deliberately as the calculator parts.

Drill the four FRQ formats

Function concepts, non-periodic modelling, periodic modelling and symbolic manipulations each have a published role; rehearse each against past materials.

Run full exams at the real format

The exam has separate clocks for its four parts; rehearse the full 2h55m format, including the calculator policy.

What to buy

Which study resources are worth paying for?

AP Precalculus prep resources split into the College Board official set, review books and online courses, and the buying logic is anchored by the official materials because the College Board publishes the course and exam description, past free-response questions, scoring guidelines and sample questions for free, and because this newer exam’s structure has been updated since launch, the official materials are the only reliable source for the current blueprint. The official free set — the CED and the past FRQs with scoring guidelines — defines the content and the written-rationale standards precisely and should anchor every plan. Review books from major publishers, roughly $20-40, add structured coverage of the three tested units and practice exams, which helps both course-takers and self-studiers, and candidates should prefer editions published after the exam’s structure updates. Online courses and question banks, $30-100, add video instruction and interactive drilling, which helps self-studying candidates who want a guided sequence. The footnote that anchors the comparison: prices below are list prices as of mid-2026 and change frequently, and we rank nothing by commission. The exam fee is about $99 per AP exam, with fee reductions available for eligible students. A cheap readiness check is the free sample questions and one past FRQ set from the College Board before buying anything. Candidates should also verify the school’s AP registration process and deadline, since late-registration fees are a common avoidable cost, and confirm the target college’s policy on precalculus credit, since placement is often the real value of this exam.

ResourcePriceFormatBest for
College Board official materialsFreeCED + past FRQs + scoring guidesThe authoritative content and rationale standards
AP Precalculus review book$20-40Book with unit coverage and practiceStructured coverage for any candidate
Online course / question bank$30-100Video + interactive drillingSelf-studiers wanting a guided sequence
AP exam registration~$99School/College BoardThe real exam; fee reductions available

List prices as of mid-2026 and change frequently; we rank nothing by commission. The AP exam fee is about $99 with reductions for eligible students, and candidates should confirm the current exam structure since the blueprint has been updated since launch.

Avoid these

What mistakes do candidates most often make?

The most common mistake on AP Precalculus is treating it like a review of algebra and skipping the trigonometric and polar block, because the exam weights all three tested units and the trigonometry content is where candidates new to it lose the most points. The second is neglecting the calculator-free parts, assuming the calculator is available throughout, when the exam has separate calculator and calculator-free parts with separate clocks and the no-calculator sections reward algebra fluency that only deliberate practice builds. A third recurring error is computing a model correctly but failing to justify the reasoning, when the free responses are scored on the written rationale, not just the answer. Candidates also routinely confuse the representations of a function — recognising it from a graph but failing to translate it to an equation or a table — when the exam explicitly tests fluency across symbolic, graphical, numerical and verbal forms. Another pattern is treating the two modelling FRQs as optional, when they are fixed formats with published roles. Finally, some candidates never run a full practice exam at the real format, so the separate clocks for the four parts surprise them on test day. A further recurring error is preparing from materials written for the launch version of the exam, when the structure has been updated since 2024, and some candidates sit without confirming the college’s credit policy, discovering that many schools treat this exam as placement-only. A few also rush the calculator-free multiple-choice part and then have no review margin, when budgeting the no-calculator items at roughly two minutes each leaves time to return to flagged questions.

✕Treating it as an algebra review

✓Trigonometric and polar functions are a full tested unit; budget a dedicated block for the unit circle, trig equations and sinusoidal modelling.

✕Neglecting the calculator-free parts

✓The exam has separate calculator and calculator-free parts with separate clocks; rehearse the no-calculator algebra fluency deliberately.

✕Computing without the written rationale

✓The free responses are scored on the reasoning; practise justifying the model choice in writing against the past guidelines.

✕Missing the representation-to-representation fluency

✓The exam tests moving between symbolic, graphical, numerical and verbal forms; drill translating each function type across all four.

✕Preparing from the launch-version materials

✓The exam structure has been updated since the May 2024 launch; confirm the current blueprint and use official materials.

What you'll face

What question types will I see?

The AP Precalculus exam is 2 hours 55 minutes and scored 1-5, a hybrid digital test in the current administration with multiple choice in the Bluebook app and free responses handwritten in a paper booklet. Section I is 42 multiple-choice questions in 1 hour 45 minutes (62.5 percent of the score), split into a calculator-free part of 29 questions in 65 minutes (43.75 percent) and a graphing-calculator part of 13 questions in 40 minutes (18.75 percent). Section II is 4 free-response questions in 1 hour 10 minutes (37.5 percent), split into a graphing-calculator part of 2 questions in 35 minutes — free-response questions 1 and 2 on function concepts and modelling a non-periodic context — and a calculator-free part of 2 questions in 35 minutes — free-response questions 3 and 4 on modelling a periodic context and symbolic manipulations — with each FRQ worth 6 points. The content is drawn from units 1-3: polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions, with real-world modelling contexts woven through the free responses. The samples below illustrate three formats: a function-recognition MC item, a non-periodic modelling FRQ and a periodic modelling FRQ. The sample items are editor-written illustrations of the published format, not live test items. Because the exam has separate clocks for its four parts, candidates should rehearse each part under its own timing, and those who practise the four FRQ formats against the past materials find the written section predictable on test day. The graphing-calculator parts reward knowing which calculator operations apply to each function family — finding zeros, intersections and extrema for polynomial, exponential and sinusoidal models — so rehearsing those operations on the approved calculator or the built-in tool is part of the preparation, and the free-response rationale earns points even when the arithmetic is slightly off, so writing the reasoning fully is never wasted effort.

Multiple choice, calculator-free29 questions, 43.75%

Algebra fluency and function recognition across the three tested units, in 65 minutes with no calculator.

Multiple choice, graphing calculator13 questions, 18.75%

Items that reward the graphing calculator: zeros, intersections, modelling and function analysis, in 40 minutes.

Modelling free responses2 of 4 FRQs, 12 points

Function concepts and modelling of non-periodic and periodic real-world contexts, with the written rationale scored.

Symbolic manipulations FRQ1 of 4 FRQs, 6 points

Algebraic manipulation of the function types tested, with the reasoning shown and justified.

Try these

Q1The graph of a function has a vertical asymptote at x = 2 and approaches y = 3 as x grows without bound. Which type of function could this be?
  • A. A linear function
  • B. An exponential function with base greater than 1
  • C. A rational function
  • D. A sine function

Answer:C

A vertical asymptote at x = 2 occurs when a function is undefined there and grows without bound on either side, and a horizontal asymptote at y = 3 means the function approaches a constant as x grows large — both are signature features of a rational function whose denominator has a root at x = 2 and whose leading terms give a horizontal asymptote at y = 3, so option C is correct. A linear function has no asymptotes. An exponential function with base greater than 1 grows without bound and has a horizontal asymptote on the negative side, not a vertical one. A sine function oscillates and has neither type of asymptote. This item tests the graph-recognition fluency that the exam rewards across all three function families.

Q2Non-periodic modelling FRQ (illustrated): "The population of a town was 10,000 in 2010 and 12,500 in 2020. Assuming exponential growth, build a model of the form P(t) = P0 * b^t, where t is years since 2010, and use it to predict the population in 2030. Justify the choice of model."
  • A. Build the exponential model, solve for b, predict 2030, and justify the choice with constant-percentage-growth reasoning
  • B. Use a linear model and predict by adding the average growth
  • C. State the two data points and stop
  • D. Use a sine model because populations fluctuate

Answer:A

The modelling FRQ rewards the full structure: identifying exponential growth from the constant relative rate, building P(t) = 10000 * b^t with b = (1.25)^(1/10) from the ratio of the two points, predicting the 2030 population by substituting t = 20, and justifying the exponential choice with the reasoning that a growing population with a roughly constant percentage rate is best modelled exponentially. Option A is that complete response. B ignores the instruction to assume exponential growth. C gives no model and no prediction. D is unjustified, since nothing in the prompt indicates periodicity, and the scoring rewards choosing the model type from the context.

Q3Periodic modelling FRQ (illustrated): "The depth of water at a dock oscillates between 2 meters and 10 meters with a period of 12 hours. Write a sinusoidal model for the depth as a function of time, and explain each parameter in the model."
  • A. Write a sine or cosine function with midline 6, amplitude 4 and period 12, and explain each parameter
  • B. Write a linear function from high tide to low tide
  • C. Write the model with amplitude 10 and no midline
  • D. State the minimum and maximum depths only

Answer:A

The periodic modelling FRQ rewards writing a sinusoidal model whose midline is the average of the extremes, (10 + 2)/2 = 6, whose amplitude is half the range, (10 - 2)/2 = 4, and whose period of 12 hours sets the frequency, with the phase chosen from when high tide occurs, and then explaining each parameter — midline, amplitude, period and phase — in the context of the dock. Option A is that complete response. B is wrong because tidal depth is periodic, not linear. C omits the midline and uses the maximum as the amplitude, which mis-models the oscillation. D gives the data but no model, which the scoring does not reward.

Samples are editor-written illustrations of the published blueprint, not live exam items.

The big day

What should I expect on exam day?

The AP Precalculus exam is a hybrid digital test administered at your school on the College Board’s May AP schedule, and the direct exam-day answer is that you will complete 42 multiple-choice questions in 1 hour 45 minutes — 29 calculator-free questions in 65 minutes, then 13 graphing-calculator questions in 40 minutes — in the Bluebook testing app, then handwrite 4 free-response questions in 1 hour 10 minutes in a paper exam booklet, for a 2h55m exam scored 1-5, with scores released in July. Arrive with your school-issued AP admission ticket, a government-issued or school photo ID, and the permitted materials — pens and pencils for the handwritten free-response booklet, and an approved graphing calculator, since the current digital platform also includes a built-in calculator; notes and electronic devices other than the testing device are not permitted. Confirm with your AP coordinator whether you bring your own device for Bluebook or use a school-provided one, and charge whatever device you will use. Because the exam has four separately timed parts, pacing is the dominant skill on exam day: know which part you are in and whether a calculator is permitted, budget the calculator-free multiple-choice items at roughly two minutes each, and in the free-response section give the two calculator questions and the two calculator-free questions their own time. Expect a controlled testing environment with other AP candidates, and follow the proctor’s instructions exactly, because the College Board’s security rules are strict and a violation can invalidate the score. Scores are released online in July through the College Board account and can be sent to colleges; if the score falls short of the target colleges’ policy, the exam can be retaken the following year, since AP exams are offered once per year.

Bring

  • School-issued AP admission ticket
  • Photo ID (school or government issued)
  • No. 2 pencils and black or blue pens for the handwritten free-response booklet
  • An approved graphing calculator if you plan to use one; confirm the current permitted list

Leave at home

  • Notes and electronic devices other than the approved testing device (prohibited)
  • Study materials
  • Personal stationery — the booklet and materials are provided
  • Any item on the College Board prohibited list

How the day runs

The week beforeConfirm the current exam structure, delivery mode and device requirements with your AP coordinator, and run the Bluebook test preview.
30 min beforeArrive, present the admission ticket and ID, and check in with the proctor.
65 minMultiple-choice Part A in Bluebook: 29 calculator-free questions.
40 minMultiple-choice Part B in Bluebook: 13 graphing-calculator questions.
35 minFree-response Part A: questions 1 and 2 handwritten, with a graphing calculator.
35 minFree-response Part B: questions 3 and 4 handwritten, calculator-free.
JulyScores released online through the College Board account.

Rules in the room

  • No notes or electronic devices beyond the approved testing device
  • A graphing calculator is permitted only in the designated parts; confirm the current policy
  • Pens or pencils for the handwritten free-response booklet
  • The exam has four separately timed parts; each part has its own clock
  • Strict proctor-enforced timing on all sections

Afterwards.Receive the 1-5 score in July, send it to colleges through the College Board, and check each college’s policy on precalculus credit and placement — for this exam, placement into the calculus sequence is often the real value. The exam can be retaken the following year if the score falls short.

Reference

What are the key facts about the AP Precalculus?

AP Precalculus is a exam credential; awarded by College Board; the exam fee is $99 (US) / $129 (intl); typical preparation is 1 school year.

CredentialAP Precalculus
AbbreviationAP Precalc
TypeExam
ProfessionAdmissions & Academic Testing
SpecialtyAdvanced Placement
Awarded byCollege Board
DifficultyModerate
Typical prep time1 school year
All-in cost$99-$169
Score scale1 to 5
Credit3+ typically earns college precalculus credit
DeliveryHybrid digital (Bluebook MCQ, paper FRQ)
CalculatorRequired for parts of both sections
Exam timingEarly May
ScopeNational / Multi-state

Real questions

Frequently asked questions about the AP Precalculus

How many credits is AP Precalculus worth?

Many colleges grant three credits for a 3 or higher toward a precalculus or quantitative-reasoning requirement. Policies vary, so check each school.

Should I take Precalculus or Calculus?

Take Precalculus if you need the modeling foundation first; move to AP Calculus AB or BC afterward. Strong students may skip directly to Calculus.

Is the exam hard?

It is algebra-intensive and calculator-heavy. Students comfortable with function transformations and trig do well.

What score do I need for credit?

A 3 is the typical threshold; some schools want 4 or 5 for placement.

Can I self-study?

Yes, using the CED and a graphing calculator. Register for the exam through a school.

Why do all four SAT Suite tests take the same 2 hours 14 minutes?

Since the digital transition every assessment in the suite uses the same blueprint: 54 Reading and Writing questions in two 32-minute modules and 44 Math questions in two 35-minute modules. Difficulty is calibrated to the grade band rather than by adding or removing time.

Can I take an SAT Suite test at home?

No. Unlike some other admissions tests, every College Board digital assessment must be taken in a supervised school or test centre, even though it runs on your own device.

How do fee waivers work?

US students in eleventh or twelfth grade who meet income eligibility get SAT fee waivers from their school counsellor. A waiver covers the registration fee, waives cancellation and late fees, and gives unlimited free score reports to colleges.

In short

Is the AP Precalculus worth it?

  • College precalculus equivalent
  • 42 multiple-choice plus four free-response questions
  • Hybrid digital: Bluebook for multiple choice, paper for free response
  • Scored 1-5; a 3 generally earns credit

Same awarding body

What other credentials does College Board award?

Worth comparing

How does the AP Precalculus compare with similar credentials?

Trust

Where does this information come from?

Everything above is taken from the awarding body's own published material. Fees, question counts and domain weights are revised regularly — check the official page before you pay.

Research confidence: high · Last reviewed 2026-08

How this guide is maintained

Advanced Placement & college-credit desk

The AP Precalculus exam structure (question counts, timing, scoring, calculator policy) is drawn from the College Board official AP Precalculus course and exam description, which is revised on a published cycle and has been updated since the exam’s launch; the College Board publishes annual AP score distributions, and we cite that practice. College-credit outcomes and the exam fee are stated as of the current College Board program page.

Reviewed against the College Board official AP Precalculus course and exam description (current edition), the annual AP score distribution report, and the current College Board exam-day, calculator and reference-material policy pages. Every fee, score and deadline on this page was checked against the primary sources cited above in August 2026. Exam boards change these without notice — confirm anything you are about to pay for on the official site.