CLEP Calculus study guide
Aligned to College Board CLEP Calculus exam information, public content percentages, TI-84 Plus CE calculator guidance, ACE credit recommendation, and study resources reviewed June 2026
601 practice questions
80 flashcards
Completely free

CLEP Calculus Exam Prep

Practice limits, continuity, derivative definitions, derivative rules, chain rule, implicit differentiation, inverse derivatives, graph characteristics, Mean Value Theorem, L'Hospital's Rule, tangent lines, optimization, related rates, antiderivatives, substitution, Riemann sums, definite integrals, Fundamental Theorem of Calculus, area, average value, and accumulated change with 601 original questions.

601 original questions
Official-outline mapped
44-question mocks

Most popular

Start with free practice questions

Jump into a mixed set drawn from 601 free practice questions.

Free Practice Questions

Exam structure

Know the split before you start drilling

Limits

10%

10 scored + 0 pretest

Differential Calculus

50%

50 scored + 0 pretest

Integral Calculus

40%

40 scored + 0 pretest

Exam length

90 minutes

College Board describes CLEP Calculus as 44 questions in two sections.

Section 1

27 questions

College Board lists approximately 50 minutes with no calculator allowed.

Section 2

17 questions

College Board lists approximately 40 minutes with a non-CAS graphing calculator available.

Main split

60% / 40%

College Board describes the exam as approximately 60% limits and differential calculus and 40% integral calculus.

Calculator

TI-84 Plus CE

College Board says an online non-CAS TI-84 Plus CE graphing calculator is integrated for Section 2.

Bank size

601

This prep page includes 601 original CLEP Calculus practice questions.

Start your CLEP Calculus plan

How to study for CLEP Calculus

Use this sequence to balance no-calculator fluency, derivative applications, and integral interpretation.

1

1. Stabilize limits and derivatives

Start with limits, continuity, derivative definitions, derivative rules, and graph relationships.

2

2. Drill applications

Practice tangent lines, rates, related rates, optimization, motion, curve sketching, and theorem hypotheses.

3

3. Finish integral reasoning

Use antiderivatives, definite integrals, Riemann sums, the Fundamental Theorem, area, and accumulated change in timed mocks.

About the exam

CLEP Calculus Exam structure

CLEP Calculus prep with 601 original practice questions aligned to College Board's public 2026 exam description, limits, differential calculus, integral calculus, graphing calculator strategy, derivatives, applications, antiderivatives, definite integrals, Fundamental Theorem of Calculus, flashcards, and weighted mocks.

Issuer and path

CLEP Calculus Exam Prep is administered through College Board. Check official resources before booking, retesting, or relying on a stale requirement.

Limits

10%

10 scored + 0 pretest

Limit properties, calculations, limits involving infinity, continuity, graph interpretation, and domain assumptions.

Differential Calculus

50%

50 scored + 0 pretest

Derivative definitions, elementary derivatives, rules, chain rule, implicit differentiation, inverse derivatives, higher derivatives, graphs, theorems, tangent lines, rates, optimization, motion, and related rates.

Integral Calculus

40%

40 scored + 0 pretest

Antiderivatives, substitution, definite integrals, Riemann sums, properties, Fundamental Theorem of Calculus, average value, area, accumulated change, motion, and growth and decay.

Before scheduling CLEP Calculus

Check your college's CLEP credit policy, practice no-calculator derivative and integral setup, and rehearse Section 2 graphing calculator tasks with the TI-84 Plus CE.

Official Outline Coverage Map

Coverage is mapped to official outline item counts so content depth can be checked without hard-coding a single exam.

Official outline
TopicOfficial outline itemsYour questionsYour flashcardsConfidence
Limits, Limit Properties, Continuity, and Infinity10608
Priority
Derivative Definition, Elementary Functions, and Basic Rules10618
Priority
Chain Rule, Implicit Differentiation, Inverse Derivatives, and Higher Derivatives10608
Priority
Derivative Graphs, Mean Value Theorem, Continuity, and L'Hospital's Rule10608
Priority
Tangent Lines, Linear Approximation, Rates, and Related Rates10608
Priority
Optimization, Motion, Extrema, and Curve Sketching10608
Priority
Antiderivatives, Basic Integration Formulas, and Substitution10608
Priority
Definite Integrals, Riemann Sums, Properties, and the Fundamental Theorem10608
Priority
Integral Applications: Area, Average Value, and Accumulated Change10608
Priority
Differential Equations, Motion from Acceleration, and Growth and Decay10608
Priority

How to use this guide

How to study for CLEP Calculus

Build each answer from the calculus idea first: decide whether the prompt asks for a limit, instantaneous change, graph behavior, accumulation, area, or model before choosing a technique.

1. Approach limits

Use limit laws, graph behavior, continuity, and infinity behavior before differentiating or integrating.

2. Differentiate

Apply derivative definitions, rules, graph reasoning, theorem hypotheses, and derivative applications.

3. Integrate

Use antiderivatives, substitution, definite integrals, Riemann sums, FTC, and accumulated-change reasoning.

4. Choose tools

Practice no-calculator symbolic work and graphing-calculator interpretation for Section 2.

Limits, Limit Properties, Continuity, and Infinity
Limits

Limits, Limit Properties, Continuity, and Infinity

This topic tests limit laws, one-sided behavior, limits involving infinity, continuity, discontinuity, and graph-based limit interpretation.

Key rules

Rule 1

Limits, Limit Properties, Continuity, and Infinity questions reward the answer that follows the official source, the professional role, and the stated facts.

Exam cue: Identify the candidate role, client or public risk, source rule, calculation, or process step being tested.

Rule 2

The strongest answer identifies the rule, safety concern, ethical duty, calculation, client factor, or process step before acting.

Exam cue: Check whether the fact pattern is using a national standard, jurisdiction rule, handbook policy, or scenario-specific instruction.

Rule 3

Eliminate answers that ignore requirements, skip documentation, overreach the role, or treat convenience as the standard.

Exam cue: Choose the compliant and professionally scoped answer before the convenient or familiar answer.

Common traps

Treating related standards as interchangeable without checking the source.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Skipping screening, documentation, authorization, sanitation, recordkeeping, or other required procedure.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Choosing an answer that protects convenience instead of client safety, public protection, or the stated professional duty.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Memory anchors

Limit

A limit describes the value a function approaches as the input approaches a point or infinity.

One-Sided Limit

A one-sided limit follows the function from only the left or only the right of a point.

Limit Law

Limit laws allow sums, products, quotients, powers, and constants to be evaluated under valid conditions.

Continuity

Continuity at a point requires the function value, limit, and approached value to agree.

Discontinuity

A discontinuity occurs when a function fails to be continuous at a point.

Infinite Limit

An infinite limit describes unbounded function behavior near a point.

Limit at Infinity

A limit at infinity describes end behavior as inputs grow without bound.

Domain Assumption

A domain assumption controls which input values are allowed for a function.

Next best moves

Quick check-up

Use a short quiz to confirm the rule pattern is actually sticking.

Check-up Questions

1-2 question checkpoint

Evaluate lim x->3 (x^2 - 9)/(x - 3).

Evaluate lim x->0 sin(5x)/x.

Answer all questions to submit.

Next step personalized recommendations

Open another topic next

Official resources

Verify the details with the official sources

Use these links for eligibility, scheduling, handbook rules, and issuer updates. Our guide helps you study; official sources tell you what the testing partner currently requires.

FAQ

Common CLEP Calculus questions

Is this official College Board CLEP Calculus content?

No. These are original practice questions aligned to College Board's public CLEP Calculus exam description and topic percentages. They are not copied from secure CLEP test forms.

How is CLEP Calculus structured?

College Board lists 44 questions in two sections: about 27 no-calculator questions and about 17 graphing-calculator questions.

What is the content split?

The public description lists approximately 10% limits, 50% differential calculus, and 40% integral calculus.

What calculator is available?

College Board says a non-CAS TI-84 Plus CE graphing calculator is integrated into the exam software for Section 2.

What should I practice first?

Start with limits, continuity, derivative rules, graph interpretation, applications of derivatives, antiderivatives, and the Fundamental Theorem of Calculus.

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