How the AP Calc BC exam is scored
Calculus BC uses the same structure as AB (45 multiple choice, six 9-point free-response questions, 50/50) but adds series, parametric and polar functions, and more integration techniques. BC students also receive an AB subscore computed from the AB-level questions. Roughly two in five BC students earn a 5, the highest rate of any AP math exam, and the 3 cutoff is a little above AB's.
| Section | Questions or points | Weight | Composite points per raw point |
|---|---|---|---|
| Multiple choice | 45 questions | 50% | 1.11 |
| Free response | 6 questions, 54 points | 50% | 0.93 |
Composite formula
Each section's raw score is turned into a share of the section's weight, and the shares are added. The result is a composite on a 0 to 100 scale, which is the same proportion as the College Board's raw composite for this exam:
composite = multiple choice / 45 x 50
+ free response / 54 x 50Put another way, one multiple choice question is worth 1.11 composite points, while one point on the free response questions is worth 0.93. That ratio tells you where an hour of practice moves your score the most.
Estimated AP Calc BC score cutoffs
Cutoffs vary by year; these are estimates from released exams and practice scoring guides. The College Board equates each exam after it is given and does not publish the current year's cutoffs.
| AP score | Meaning | Composite needed (of 100) | Multiple choice alone, with the example free response |
|---|---|---|---|
| 5 | extremely well qualified | 62 | 26 of 45 |
| 4 | well qualified | 51 | 16 of 45 |
| 3 | qualified | 41 | 7 of 45 |
| 2 | possibly qualified | 31 | 0 of 45 |
| 1 | no recommendation | below 31 |
Worked example: the form defaults
The calculator starts at about 70% of the maximum on every part. Here is the full arithmetic for those numbers:
| Section | Raw | Calculation | Composite points |
|---|---|---|---|
| Multiple choice | 32 of 45 | 32 / 45 x 50 | 35.56 |
| Free response | 36 of 54 | 36 / 54 x 50 | 33.33 |
| Composite | 68.89 |
A composite of 68.9 is a 5 under the estimated cutoffs (the 5 line is 62, leaving a 6.9 point cushion).
Where to gain points on AP Calc BC
Because the composite is a weighted sum, every raw point has a fixed value, and they are not equal. On this exam a multiple choice question is worth 1.11 composite points and a free response point 0.93, so multiple choice questions are the more valuable unit, and they are also the easier ones to pick up by eliminating wrong answers. Free-response rubrics award points for specific moves (a thesis, a labeled graph, a unit, a justification), so learning what the graders look for usually adds points faster than more content review. On multiple choice, the lack of a guessing penalty means every blank is a wasted chance.
What the score means for college credit
Colleges set their own AP credit policies. Most public universities grant credit or placement for a 3 on AP Calc BC; many selective private colleges require a 4 or 5, and some grant placement but not credit. The College Board's credit policy search lists each college's rule by exam. Scores stay in your account, and you can withhold or cancel a score before it is sent if you would rather a college not see it.
Predicted scores are estimates. Section weights follow the College Board course and exam description for AP Calculus BC; the composite-to-score cutoffs are estimated from released exams and change each year when the College Board sets the curve. See every subject on the AP score calculator hub.