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BC Calculus Practice Exam Style Free Response Questions
As the AP Exam grows closer and closer I am always looking for FRQs for my students to practice with. By this point in the year I have usually exhausted most of the ones from previous exams. This is a nice selection and representation of the types of questions that typically show up on the BC Calculus Exam. This could also be used as an in-class test or final exam to close out the year!
12th
Calculus
AP Calculus AB Free Response Rules Review | Around-the-Room Circuit Activity
AP Calculus AB Rules Review – Around the Room Circuit ActivityEngage your students in an interactive and movement-based review of essential AP Calculus AB rules and reasoning with this Around-the-Room Circuit Activity. Designed to mirror the “rules to know” style of AP free-response questions, this activity encourages students to apply calculus concepts, justify their thinking, and collaborate with peers. Students rotate through 10 carefully designed problems, using a comprehensive function r
10th - 12th
Calculus, Math Test Prep
Calculus AB Unit 5 FRQ & MCQ Bundle: 5 FRQs, 68 MCQs w/ Detailed Solutions
This bundle includes 5 exam-style free-response questions (FRQs) and 68 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 5 topics: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second der
10th - 12th
Calculus
Calculus AB Unit 2 FRQ & MCQ Bundle: 4 FRQs, 50 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 50 exam-style multiple-choice questions (MCQs) built around Unit 2: Definition of a Derivative and Basic Rules of Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 2 topics: The limit definitions of a derivativeDifferentiabilityThe power, product, and quotient rulesCommon derivatives (e^x and ln(x)) and trig derivativesAnd moreFormat a
10th - 12th
Calculus
Calculus AB Unit 4 FRQ & MCQ Bundle: 4 FRQs, 35 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 35 exam-style multiple-choice questions (MCQs) built around Unit 4: Contextual Applications of Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 4 topics: Interpreting derivatives in contextStraight-line (rectilinear) motion with position, velocity, and accelerationRelated ratesLocal linearity (linearization)L’Hôpital’s RuleAnd moreFor
10th - 12th
Calculus
Calculus AB Unit 3 FRQ & MCQ Bundle: 4 FRQs, 30 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 30 exam-style multiple-choice questions (MCQs) built around Unit 3: Derivatives of Composite, Implicit, and Inverse Functions, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 3 topics: The chain ruleImplicit differentiationDerivatives of inverse functionsDerivatives of inverse trigonometric functionsHigher-order derivativesAnd moreFormat and UseM
10th - 12th
Calculus
AP Calculus AB Question Bank - Derivatives & Rates of Change
AP Calculus AB multiple choice and free response questions (with scoring rubric) you won't find anywhere else!
11th - 12th
Calculus, Math Test Prep, Other (Math)
Calculus AB Unit 1: Limits & Continuity Test | 15 MCQs, 3 FRQs, Calc. & No Calc.
This test includes 15 exam-style multiple-choice questions and 3 multi-part free-response questions covering Calculus AB Unit 1: Limits & Continuity. It has both no-calculator and calculator-active sections, and it comes in two unique versions (A and B), each with a complete answer key and full FRQ scoring rubrics. Topics IncludeLimits from graphs and tablesEvaluating limits algebraicallyThe Squeeze TheoremInfinite limits and vertical asymptotesLimits at infinity and horizontal asymptotesContinu
10th - 12th
Calculus
Calculus AB Unit 1: Limits & Continuity Practice Bundle | 95 MCQs & 5 FRQs
This bundle includes 95 exam-style multiple-choice questions (MCQs) and 5 exam-style free-response questions (FRQs) covering Calculus AB Unit 1: Limits & Continuity. The MCQ section is organized to keep the limits sections (1.1-1.9 and 1.14-1.15) and the continuity sections (1.10-1.13) together. Most questions are no-calculator, which reflects the nature of the unit.Topics IncludeDefinition of a limit and limit notationLimits graphically and tabularlyProperties of limitsEvaluating limits algebra
10th - 12th
Calculus
Calculus AB Unit 7 Test: MCQ & FRQ, No Calc. & Calc. Active, Two Versions (A/B)
This test includes 16 exam-style multiple-choice questions (MCQs) and 3 multi-part free-response questions (FRQs) covering Calculus AB Unit 7: Differential Equations. The test includes both no calculator and calculator active sections and includes two parallel versions (A and B) with answer keys for each. Test FormatNo Calculator: 10 MCQs & 2 FRQsCalculator Active: 6 MCQs & 1 FRQTopics AssessedModeling with differential equationsChecking solutions to differential equationsSlope fields: creating,
10th - 12th
Calculus
Calculus AB Unit 6 MCQ and FRQ Practice Bundle: 64 MCQs and 5 Multi-Part FRQs
This Practice Bundle includes 64 exam-style multiple-choice questions (MCQs) and 5 multi-part free-response questions (FRQs) covering Calculus AB Unit 6: Integration and Accumulation of Change. It includes a mix of calculator-active and non-calculator questions, with detailed solutions and FRQ rubrics. This bundle combines my Calculus AB Unit 6 MCQ Practice and Unit 6 FRQ Practice resources. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite int
10th - 12th
Calculus
Calculus AB Unit 7 Practice Bundle: 40 MCQs and 4 Multi-Part FRQs w/ Answer Keys
This Practice Bundle includes 40 exam-style multiple-choice questions (MCQs) and 4 multi-part free-response questions (FRQs) covering Calculus AB Unit 7: Differential Equations. It includes a mix of calculator-active and non-calculator questions, with selected worked solutions for the MCQs and worked solutions plus rubrics for every FRQ part. This bundle combines my Calculus AB Unit 7 MCQ Practice and Unit 7 FRQ Practice resources. Topics IncludeModeling with differential equationsChecking solut
10th - 12th
Calculus
Calculus AB First Semester (Units 1–5): 6 Exam-Style FRQs
This resource is a first-semester cumulative review for AP Calculus AB and includes 6 exam-style free-response questions (FRQs) covering Units 1–5 (differential calculus), designed for students in a Calculus AB class or similar introductory calculus course. Use it as a comprehensive semester review, a midyear or final exam prep set, or a targeted check on core differential calculus skills. Topics include: Limits and continuityDerivatives and their fundamental propertiesDerivatives of composite,
10th - 12th
Calculus
Also included in: Calculus AB Derivatives Review Bundle: 30 MCQ & 6 FRQ w/ Solutions
Calculus Part 1 Assignments (From Attributes of Functions to Finding Limits)
This includes seven assignments that cover attributes of functions, limits, asymptotes, and continuity. The notes for these assignments (separately or bundled) and the FREE Calculus Slides and Videos for You and Your Students slides that contain all the matching how-to videos are also in the Texmathlete store.
9th - 12th, Higher Education
Calculus, PreCalculus
Calculus AB Derivatives Review Bundle: 30 MCQ & 6 FRQ w/ Solutions
This resource is a first-semester cumulative review bundle for AP Calculus AB and includes 30 exam-style multiple-choice questions (MCQs) and 6 multi-part exam-style free-response questions (FRQs) covering Units 1–5 (differential calculus). It is designed for students in a Calculus AB class or similar introductory calculus course. You can use it as a comprehensive semester review, a midyear or final exam prep set, or a targeted check on core differential calculus skills. Topics include: Limits
10th - 12th
Calculus
Calculus Part 3 Assignments (Derivative and Antiderivative Methods)
These assignments cover introductions to the following topics: Chain RuleProduct and Quotient Rulesu-Substitution for IntegralsDerivatives and integrals of exponential functions Derivatives and Integrals involving logarithmic functionsThe notes for these assignments (separately or bundled) and the FREE Calculus Slides and Videos for You and Your Students slides that contain all the matching how-to videos are also in the Texmathlete store. The notes bundle includes a reference sheet bookmark an
9th - 12th, Higher Education
Calculus
Calculus Part 2 Assignments (Derivative, Motion, Slope Fields, Euler, Antideriv)
This includes seven assignments that cover introductions to: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThe notes for these assignments (separately or bundled) and the FREE Calculus Slides and Videos for You and Your Students slides that contain all the matching how-to videos are also in the Texmathlete store.
9th - 12th
Calculus, PreCalculus
AP Calculus Volumes with Cross Sections: 3D Print Models Bundle
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print 5 models of volumes whose cross sections are perpendicular to the x-axis, between the curves y=x^2 and y=sqrt(x). These reflect examples found in online free flipped classroom resources and YouTube videos. The 6th volume graph models an example from AP Calculus unit 8.7 examples and is of a volume whose cross sections are squares, within a circle with radius 4. The download is for a ZIP file
9th - 12th, Adult Education, Higher Education
Calculus, Geometry, Graphing
Calculus Interactive Volume of Revolution y-axis Grapher
This Calculus Interactive Volume of Revolution Surface of Revolution about the y-axis Grapher will wow your kids with LIVE interactive math explorations and animations. My students think this is awesome. This Easy 3D grapher will demonstrate and explore the volume of revolution in your classroom as never before. Incorporate this applet into your traditional lessons, Power Points, or Smart Board lessons or use as a free standing "app" to explore with your class. "What do you think would
11th - 12th, Higher Education
Calculus, Graphing
Polar Functions, Parametric Functions, and Vector Functions End of Unit Review
This comprehensive End of Unit Review for Polar Functions, Parametric Functions, and Vector Functions will give your PreCalculus and AP PreCalculus students a solid review with extra practice practice. These activities,organizers, and worksheets also make a great review for AP Calculus BC Unit 9. What's included?4 versions of the review / assessment, each with 57 well chosen representative questions. Two versions are multiple choice format and two are free response. The assessments / revi
11th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
AP Calculus Cheat Sheet Bundle | Full Year Review (Units 1–8, AB/BC)
Save time and support your students all year long with this complete AP Calculus Cheat Sheet Bundle! This growing bundle includes concise, student-friendly reference sheets covering the most important concepts from Units 1–8. Each resource is designed to help students review, connect concepts, and succeed on tests and the AP Exam. Perfect for both AP Calculus AB and BC, these cheat sheets provide a structured, easy-to-use system your students will rely on all year. 📘 What’s Included: • L
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
AP Calculus AB Digital EASEL Practice Test - Same Sections as Actual AP Exam!
This digital study guide and practice test prepares students for the AP Calculus AB exam, designed to mirror the May 2026 hybrid digital format. The first section covers the exam's structure, the eight course units and their approximate weights, and key formulas students need to memorize — derivative rules, integral rules, and the Fundamental Theorem of Calculus. It also goes over the major theorems that appear regularly on the exam, including the Mean Value Theorem, Intermediate Value Theorem,
10th - 12th
Calculus
AP Calculus AB Practice Test - Same Sections as Actual AP Exam!
This study packet prepares students for the AP Calculus AB exam, designed to mirror the May 2026 hybrid digital format. The first section is a focused study guide that covers the exam's structure, the eight course units and their approximate weights, and key formulas students need to memorize — derivative rules, integral rules, and the Fundamental Theorem of Calculus. It also walks through the major theorems that appear regularly on the exam, including the Mean Value Theorem, Intermediate Value
10th - 12th
Calculus
AP Calculus AB Exam Study Packet | All 8 Units | Limits, Derivatives, Integrals
A complete, print-ready AP Calculus AB exam study and review packet covering all 8 College Board units — limits, derivatives, integrals, differential equations, and applications. Every major theorem, rule, and technique is explained, demonstrated with worked examples, and then practiced with AP-style multiple choice questions. Includes a 100-question practice test that mirrors the actual AP Calculus AB exam format (no-calculator and calculator sections) with a complete answer key. The AP Calcul
10th - 12th
Calculus
CCSS
MP1
, MP2
Also included in: AP Calculus AB + BC Exam Study Packets Bundle | 200 Practice Questions
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