AP Calculus AB — Free Response Question Worksheets

Practice AP Calculus AB free response questions with CalcREX's guided worksheets. Each FRQ includes multi-part problems with expandable step-by-step solutions — just like the real exam.

The FRQ section counts for 50% of your AP Calculus AB score. It consists of 6 questions in 90 minutes: Part A (2 questions, 30 minutes, calculator) and Part B (4 questions, 60 minutes, no calculator). Questions test your ability to set up problems, show work, justify answers, and communicate mathematical reasoning.

AP Calculus AB
FRQ Worksheets

Work through exam-style free response problems with multi-part questions and guided solutions you can reveal when ready.

Part A
2 FRQs
30 min · Calculator
Part B
4 FRQs
60 min · No Calculator
FRQ Weight
50%
of total exam score
Part A — Calculator Permitted
Part B — No Calculator
FRQ Strategies
✍️
Show All Work
Graders award partial credit for correct setup and reasoning even if the final answer is wrong. Never skip steps.
📝
Justify Answers
When asked to justify, reference specific theorems (MVT, IVT, FTC) and connect conditions to conclusions explicitly.
🔗
Answer Every Part
Each sub-part (a, b, c, d) is scored independently. Even if you can't do part (a), attempt parts (b)–(d).
📐
Units & Context
Include units in applied problems and interpret results in context. "The rate of change is 5 gallons/min" beats just "5".
⏱️
Time Management
~15 min per question in Part A, ~15 min per question in Part B. If stuck, move on and come back.
🧮
Calculator Setup
In Part A, show the integral/equation you're computing, then state the calculator result. Never just write a number.