Updated for 2026 · 2025 College Board Data · AB Subscore Included

AP Calculus BC Score Calculator

The most detailed AP Calc BC calculator — 45 MCQs + all 6 FRQs with per-part rubric breakdown including series, polar, and parametric questions. Calculator/no-calculator split + AB subscore. 2025 official data.

78.6%2025 Pass Rate
44.0%Scored a 5
287KStudents Tested
AP Score Calculators › AP Calculus BC

📐 Calculate Your AP Calc BC Score

📝 Section I: Multiple Choice 45 questions · 1h 45min · 50%
Part A · No Calculator
30 questions · 60 min
Part B · Calculator Required
15 questions · 45 min
/ 45

4 answer choices · No guessing penalty · MCQ raw × 1.2 = scaled score (max 54)

✏️ Section II: Free Response 6 questions · 1h 30min · 50%
🔢 Part A — Calculator Required (Q1-Q2, 30 min)
Q1FRQ 1 — Calculator (Rate/Accumulation)
0 / 9
(a) Rate/accumulation setup + calculation (3 pts)
(b) Equation solving / MVT application (2 pts)
(c) Limit / behavior analysis (2 pts)
(d) Interpretation + justification (2 pts)
Q2FRQ 2 — Calculator (Polar/Parametric) ★BC
0 / 9
(a) Polar derivative / rate of change (2 pts)
(b) Polar area between curves (3 pts)
(c) Parametric tangent / speed (2 pts)
(d) Distance / motion interpretation (2 pts)
🚫 Part B — No Calculator (Q3-Q6, 60 min)
Q3FRQ 3 — No Calculator (Graph Analysis)
0 / 9
(a) FTC / accumulation function value (2 pts)
(b) Extrema / increasing-decreasing (2 pts)
(c) Points of inflection with justification (2 pts)
(d) Absolute min/max on interval (3 pts)
Q4FRQ 4 — No Calculator (Table/Rate)
0 / 9
(a) Table-based approximation (2 pts)
(b) Riemann sum / trapezoidal (2 pts)
(c) IVT / MVT justification (3 pts)
(d) Interpretation in context (2 pts)
Q5FRQ 5 — No Calculator (Diff Eq + Taylor) ★BC
0 / 9
(a) Implicit differentiation / second derivative (2 pts)
(b) Taylor polynomial about a point (3 pts)
(c) Lagrange error bound / approximation (2 pts)
(d) Euler's method approximation (2 pts)
Q6FRQ 6 — No Calculator (Series) ★BC
0 / 9
(a) Interval of convergence (ratio test) (2 pts)
(b) Taylor/Maclaurin series term derivation (2 pts)
(c) Series manipulation / new series (3 pts)
(d) Convergence justification (2 pts)
—
Enter your scores
Adjust the MCQ slider and FRQ rubric points above.
MCQ (50%)
0.0
0/45 raw → 0.0/54 scaled
FRQ (50%)
0.0
0/54
Q1
0
Q2
0
Q3
0
Q4
0
Q5
0
Q6
0
0108 composite
MCQ: 0/45 × 1.2 = 0.00 FRQ: 0/54
Composite: 0.00 / 108
📊 AB Subscore Note

BC students receive a separate AB subscore (1-5) based on ~60% of the exam covering AB topics. Colleges treat this the same as an AB exam score. Your AB subscore is often higher than your BC score — it can earn Calc I credit even if your BC score doesn't meet a school's threshold.

🎯 Target Mode
💡 What-If Scenarios

📊 Unit Confidence Tracker

AP Calc BC has 10 units (8 shared with AB + 2 BC-exclusive). Units 6, 8, 9, and 10 carry the most weight.

Unit 1: Limits & Continuity
4–7% · Limit definitions, squeeze theorem, IVT
Unit 2: Differentiation Basics
4–7% · Definition, power/product/quotient rules
Unit 3: Composite, Implicit, Inverse
4–7% · Chain rule, implicit diff, inverse trig
Unit 4: Contextual Applications
6–9% · Related rates, motion, L'Hôpital's Rule
Unit 5: Analytical Applications
8–11% · MVT, extrema, optimization, concavity
Unit 6: Integration ★
17–20% · FTC, u-sub, by parts, partial fractions ★ HEAVIEST
Unit 7: Differential Equations
6–9% · Slope fields, Euler's method, logistic growth
Unit 8: Applications of Integration
6–9% · Area, volume, arc length, improper integrals
Unit 9: Parametric, Polar, Vectors ★BC
11–12% · Parametric derivatives, polar area, vectors ★ BC-ONLY
Unit 10: Infinite Sequences & Series ★BC
17–18% · Taylor/Maclaurin, convergence tests, error bounds ★ BC-ONLY HEAVIEST
Rate your confidence in each unit above to get a personalized study priority list.

🔢 Mathematical Practices Tracker

AP Calc AB tests 4 Mathematical Practices. Practices 1 and 2 dominate the exam.

Practice 1: Procedures & Processes
Determine expressions and values using mathematical procedures (derivatives, integrals, limits)
Practice 2: Connecting Representations
Translate between analytical, graphical, tabular, and verbal forms
Practice 3: Justification
Justify reasoning using definitions, theorems (IVT, MVT, EVT), and mathematical evidence
Practice 4: Communication & Notation
Use correct notation, label functions/graphs, communicate clearly
Rate your confidence in each practice above to see recommendations.

How AP Calculus BC Scoring Works

The AP Calculus BC exam is 3 hours and 15 minutes. It's a hybrid exam — MCQs on Bluebook, FRQs handwritten. Both sections have calculator and no-calculator parts. You also receive an AB subscore (1-5) based on ~60% of the exam covering AB topics.

SectionPartQuestionsTimeCalculatorWeight
I (MCQ)A30 questions60 min❌ No50%
I (MCQ)B15 questions45 min✅ Required
II (FRQ)A2 questions30 min✅ Required50%
II (FRQ)B4 questions60 min❌ No

Composite: MCQ raw (0-45) × 1.2 = scaled (max 54) + FRQ raw (6 × 9 = max 54) = 108 total. BC cutoffs are slightly lower than AB, reflecting the harder content.

AP Calculus BC Unit Weights (10 Units)

Unit 1: Limits & Continuity
4-7%
Unit 2: Differentiation Basics
4-7%
Unit 3: Composite/Implicit/Inverse
4-7%
Unit 4: Contextual Applications
6-9%
Unit 5: Analytical Applications
8-11%
Unit 6: Integration ★
17-20%
Unit 7: Differential Equations
6-9%
Unit 8: Applications of Integration
6-9%
Unit 9: Parametric, Polar, Vectors ★BC
11-12%
Unit 10: Infinite Series ★BC
17-18%

AP Calculus BC Score Distribution (2025)

Score 5
44.0%
44.0%
Score 4
21.9%
21.9%
Score 3
12.8%
12.8%
Score 2
15.2%
15.2%
Score 1
6.2%
6.2%

78.6% pass rate in 2025. Mean: 3.82. 160,436 students tested. An extraordinary 44% scored a 5 — reflecting BC's self-selected, highly motivated student population.

AP Calc BC Average Score Trend (6 Years)

3.84
2020
3.62
2021
3.68
2022
3.75
2023
3.92
2024
3.82
2025

How to Score a 5 on AP Calculus BC

📝 MCQ Strategy (50%)

45 questions across 2 parts. Part A (no calc) = 30 questions in 60 min (~2 min each). Part B (calc) = 15 in 45 min (~3 min each).

Key: BC MCQs from Units 9-10 are the most challenging. In 2025, only 4% answered all series questions correctly. Master convergence tests and parametric derivatives.

✏️ FRQ Strategy (50%)

6 questions × 9 pts = 54 pts. 3 FRQs are shared with AB, 3 are BC-only (polar, Taylor, series). Each has 4 parts scored independently.

Key: BC students typically find the shared AB questions easier. Focus practice on polar area (hardest FRQ in 2025) and series convergence justification.

🔢 Calculator Tips

Calculator allowed on MCQ Part B and FRQ Q1-Q2. Know these 4 operations cold: graph, solve equations, evaluate derivatives, compute definite integrals.

Key: You must show the setup (equation/integral) even when using calculator. Just writing "calculator says 4.23" earns 0.

📊 BC FRQ Patterns

BC-specific patterns: polar area/tangent (Q2), Taylor polynomial + Euler's method (Q5), series convergence + interval (Q6). Q1/Q3/Q4 shared with AB.

Key: In 2025, Q2 (polar area) was the hardest question. Q5 (Taylor + Lagrange error) was the easiest BC-only question. Practice past BC FRQs from AP Central.

AP Calculus BC Time Management

60 min
MCQ Part A (No Calc)
30 questions · ~2 min each
Skip and return to hard ones
45 min
MCQ Part B (Calculator)
15 questions · ~3 min each
Use calc for integrals + intersections
15 min
Each FRQ
~15 min per question
Attempt all 4 parts for partial credit

AP Calculus BC vs AB

Calculus ABCalculus BC
CoverageCalc I (1 semester)Calc I + II (2 semesters)
MCQ45 questions45 questions
FRQ6 questions (9 pts each)6 questions (9 pts each)
Unique Topics—Series, parametrics, polar, advanced integration
AB SubscoreN/A✅ Included (separate 1-5 score)
2025 Pass Rate64.2%78.6%
2025 Mean3.213.82
% Scoring 520.3%44.0%
CreditCalc I (3-4 hrs)Calc I+II (6-8 hrs)

BC's higher pass rate reflects self-selection — stronger math students take BC. BC covers all AB content plus parametric/polar equations, series, advanced integration techniques, and logistic models (~40% more content). You receive an AB subscore automatically.

Frequently Asked Questions

45 MCQs (50%) + 6 FRQs worth 9 points each (50%). MCQ raw × 1.2 = max 54 scaled. FRQ max = 54. Composite max: 108. Both sections split into calculator and no-calculator parts. You also receive an AB subscore (1-5).
BC students automatically receive a separate AB subscore (1-5) based on ~60% of the exam that covers AB-level topics. Colleges treat this subscore the same as an AB exam score. Many students score higher on the AB subscore than the full BC score.
BC adds: Taylor/Maclaurin series, convergence tests (ratio, integral, comparison, alternating), parametric equations, polar coordinates & area, vector-valued functions, integration by parts, partial fractions, improper integrals, logistic differential equations, and Euler's method.
Yes — there is NO formula sheet provided. BC students must memorize everything AB students do PLUS: Taylor series for common functions (eˣ, sin x, cos x, 1/(1-x)), convergence tests, parametric/polar formulas, integration by parts, and Lagrange error bound.
In 2025, polar area (Q2) was the hardest FRQ — it differentiates between 4s and 5s. Series convergence questions are also challenging: only 4% answered all series MCQs correctly. Taylor polynomial questions are typically more accessible.
BC's 78.6% pass rate (vs AB's 64.2%) reflects self-selection: students who take BC typically have stronger math backgrounds and often completed AB content first. The exam itself is significantly harder, but the student population is more prepared.
A BC score of 3+ typically earns credit for Calculus I AND II (6-8 credit hours) — twice what AB offers. The AB subscore can also earn separate Calc I credit. This makes BC one of the highest-value AP exams for college credits.
Scheduled for May 2026. Same day as Calculus AB. Hybrid format: MCQs on Bluebook (digital), FRQs handwritten. Total: 3 hours 15 minutes.

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