AP Calculus BC score calculator.

You get 1 hour 40 minutes for the 42 multiple-choice questions. The first 29 (Part A, 62 minutes) are calculator-free and make up 35% of the exam score; the last 13 (Part B, 38 minutes) count for 15%, and some of them need a graphing calculator. The six free-response questions take 1 hour 30 minutes. A graphing calculator is required on the first two (Part A, 30 minutes, 16.7%) and not permitted on the last four (Part B, 60 minutes, 33.3%). Every free-response question is graded out of 9 points.

In this calculator a correct multiple-choice answer is worth 54/42, about 1.29 points of the 108-point composite, and each free-response point is worth 1, so the two sections end up weighted the same, 54 points each.

Readers grade the free response against College Board’s published scoring guidelines, part by part, so partial credit is real: a correct setup can earn points even when the final number is off. How the rubric treats each kind of question, series and polar included, is broken down in our AP Calc BC FRQ guide.

Sources: College Board’s AP Calculus BC exam page on AP Students, the BC exam page on AP Central, the AP Calculus AB and BC Course and Exam Description and the 2026 BC scoring guidelines.

It’s a hybrid digital exam. You answer the multiple choice in Bluebook, College Board’s testing app, and read the free-response questions there too, but you write those answers by hand in a paper booklet. Start to finish, the exam runs 3 hours 10 minutes.

The 10 units and how much of the multiple choice each covers

BC covers the eight AB units plus two of its own, and College Board gives each unit a weighting in the multiple-choice section. The BC-only units carry a lot. Series alone is 15% to 20%, as much as integration and accumulation of change.

What each unit covers is in our AP Calc BC units guide, and the formulas behind them are collected on our AP Calc BC formula sheet.

Sources: the Fall 2026 clarifications to the Course and Exam Description, the description’s exam-weighting table (p. 199) and College Board’s page on digital exam modes.

The gap is big enough to change a score. Take 28 free-response points, which is what College Board’s 2025 averages add up to when each one is rounded, and 27 multiple-choice answers right. This calculator puts you at 62.7, just past our line for a 5. A tool still built for 45 questions counts the same 27 answers as 32.4 points instead of 34.7 and lands you at 60.4, which on our lines is a 4.

Scoring an older 45-question exam

Any BC exam from before 2027 has 45 multiple-choice questions. Convert that raw score to the 42-question scale first: multiply by 42/45, so 40 right becomes 37.3, and enter 37. Free-response questions were already out of 9, so those go in unchanged.

That 5 line sits well below this site’s Calculus AB line of 69.3 because the two exams’ results differ so much: in 2026, 46% of BC students earned a 5, against 20% in AB, and our lines are fitted to those results.

Why College Board publishes no cutoff

The Course and Exam Description says AP scores are criterion referenced. A score reflects the standard your work meets, not where you rank among this year’s test takers. Since every May brings a new exam form, the raw points behind a 4 aren’t fixed from one year to the next, while the standard is. College Board publishes no official conversion table and keeps those conversions private, which is why the raw-score cutoffs you find online, ours included, are all estimates.

With 28 free-response points, close to a typical result, you need 27 multiple-choice answers for a 5, 16 for a 4 and 8 for a 3. Either section alone gets you to a 4 on our lines: all 42 multiple-choice answers with nothing in free response make a composite of 54, and 54 free-response points with zero multiple choice land on the same 54. A 5 needs both.

Three of the six questions each year are shared with the AB exam and test AB content. In both 2025 and 2026, question 2 was about a polar curve and question 6 about a power series, and the 2025 polar question was the year’s hardest, averaging 3.09. In both years the two calculator questions reminded students to put the calculator in radian mode.

The 2025 set opened with an invasive plant spreading through a fruit grove and went on to a polar curve, a student’s reading pace, a function built from a graph of two semicircles and a line, a differential equation and a Taylor series centered at x = 4, with its interval of convergence. The 2026 set covered male birds arriving at a nesting area, a polar region, the temperature of a pie cooling on a table, a function known through the graph of its derivative, the region between two curves and a Maclaurin series. College Board hasn’t posted the 2026 averages yet.

Sources: College Board, AP Calculus BC Scoring Statistics 2025, 2024 and 2023; the Course and Exam Description (exam information); the 2025 and 2026 BC free-response questions.

For 2026, College Board has released percentages only, with no test-taker count or mean yet; those percentages imply a mean near 3.92. In 2025, 160,436 students took the exam and averaged 3.82. The share of 5s has stayed between 41% and 48% every year since 2022.

Sources: College Board’s AP Calculus BC score distributions and its 2026 table for all AP exams, both on AP Students. AP Central’s global report for May 2025 gives a slightly different count, 160,954; we use the AP Students numbers throughout.

College Board bases it on the AB topics, which make up about 60% of the BC exam, and recommends that colleges treat it the way they would an AP Calculus AB score. In May 2025, 160,953 students got one; 47.7% earned a 5 and 88.0% earned a 3 or higher. This calculator predicts the BC score only, because College Board doesn’t say where the subscore’s lines fall.

One more rule: College Board won’t let a student take AB and BC in the same year, so a BC student’s only AB result that year is this subscore.

Sources: College Board’s special score structure for Calculus BC and its AB subscore distributions for 2025 and 2024; the AP Calculus BC exam page.

Bluebook’s built-in Desmos graphing calculator is available in those calculator parts only. You can also bring up to two handheld graphing calculators, as long as each one is on College Board’s approved list.

College Board expects a calculator to handle four jobs on this exam: plotting a function in any viewing window, finding its zeros and computing both derivatives and definite integrals numerically. When it does the work in free response, show your setup on paper: write the integral, derivative or equation, then the result. A bare number doesn’t earn full credit.

Sources: the calculator policy on AP Students and the Course and Exam Description’s section on calculators and other technology.

Colleges decide what a BC score earns in credit and placement, and the rules vary; College Board’s AP Credit Policy Search shows each college’s. College Board also asks colleges to read the AB subscore as they would an AB exam score, so where a college follows that advice, a strong subscore can earn AB credit even when the BC score falls short.

Monday, May 10, 2027, in Session 1. That session starts at 8 a.m. local time, or 7 a.m. in Alaska. Scores are released in July, in your College Board account.

Sources: the AP Calculus BC exam page, College Board’s list of exam start times and its instructions for viewing scores.

The composite is arithmetic, and it’s exact: 54 points for each section, the 50/50 split College Board sets, with your answers and points scaled to fit. The weak spot is your own scoring. A free-response point counts only when the scoring guidelines’ condition for it is met, and generous self-scoring, a point here and there across six questions, is what usually pushes a predicted AP score too high.

We set the lines with College Board’s own BC numbers. Its 2025 free-response averages put a typical student at 54.8% of the points, its per-question spreads set how far scores range, and we fitted the lines so they return College Board’s 2026 results: 46% 5s, 22% 4s, 14% 3s, 14% 2s and 4% 1s. College Board doesn’t publish a multiple-choice average, so our model gives multiple choice the same 54.8%. The line for a 2 rests on the thinnest data, so treat it as the roughest of the four.

If your composite lands within about 3 points of a line, either score is realistic.

Why AP Calc BC score calculators disagree

Mostly two settings. Thirteen of the 18 tools we checked still count each multiple-choice answer at 1.2 points instead of 1.286, because they expect 45 questions. Their lines differ too: on a 108-point scale they put a 5 anywhere from 62 to 70, a 4 from 47 to 56 and a 3 from 34 to 44. Our line for a 5, 61.6, sits at the low end of that range, and our lines for a 4 and a 3 sit below most of theirs, because College Board’s 2026 results put 68% of students at 4 or higher and 82% at 3 or higher.

Sources: the Course and Exam Description, College Board’s explanations of AP scores and of score setting, its 2025 BC scoring statistics and its 2026 BC distribution. By Mahmudul Hasan, October 2026.