AP Calculus BC Score Calculator
Enter your multiple-choice count and free-response points to estimate your AP Calculus BC composite score and predicted 1–5.
AP Calculus BC uses the same scoring machinery as Calculus AB — 45 multiple-choice questions and six free-response questions, each half worth 54 points on a 108-point composite — but it covers more material and its curve is famously generous. This calculator scales your multiple choice the way the College Board does and estimates your 1–5.
How AP Calculus BC is scored
Multiple choice is multiplied by 1.2 to reach 54 points; the six free-response questions (9 points each, 54 total) count directly.
FRQ = free-response raw points (max 54)
Composite = MC scaled + FRQ (out of 108)
| Section | Raw | Weight |
|---|---|---|
| Multiple choice | 45 questions (Part A + B) | 50% |
| Free response | 6 questions × 9 points (54) | 50% |
Composite score to AP score (estimated)
College Board doesn't publish official cut scores, and they move each year. The BC curve is one of the most generous — a 5 often needs only around 60% of the composite. These commonly cited estimates are what this calculator uses.
| AP Score | Composite (out of 108) |
|---|---|
| 5 | 62 – 108 |
| 4 | 52 – 61 |
| 3 | 41 – 51 |
| 2 | 30 – 40 |
| 1 | 0 – 29 |
Worked example
28 of 45 multiple choice and 28 of 54 free-response points:
| MC = 28 × 1.2 | 33.6 |
| FRQ = 28 | 28 |
| Composite = 33.6 + 28 | 61.6 → score of 4 |
The BC subscore
Alongside your overall BC score, the College Board reports an "AB subscore" — a 1–5 based only on the questions covering AB-level material. This calculator estimates the overall BC score; the subscore is reported separately and isn't predicted here.