AP Calculus AB 70% Sectional Practice Test: Derivatives and Integration Combined
Test your late-course AP Calculus AB readiness with the 70% Sectional covering Units 1–6 — complete differentiation and integration fluency before attempting full mock exams.
The Critical Threshold Before Full Mock Exams
The 70% Sectional Test is the most demanding of GradePerfect's cumulative checkpoints for AP Calculus AB. It covers Units 1 through 6 — the complete differential and integral calculus curriculum up to but not including differential equations and advanced applications. Performing well on this sectional is the clearest indicator that you are ready to attempt full AP-style mock exams.
What This Sectional Covers
Units 1–5: Differential Calculus (Complete)
- Limits, continuity, and the IVT
- Derivative definition and all standard differentiation rules
- Chain rule, implicit differentiation, inverse function derivatives
- Related rates, linearization, L'Hôpital's Rule, and motion problems
- MVT, EVT, first and second derivative tests, concavity, optimization
Unit 6: Integration and Accumulation of Change
- Riemann sums and the definite integral
- Fundamental Theorem of Calculus, Parts 1 and 2
- Antiderivatives, indefinite integrals, and basic integration rules
- U-substitution and its application to definite integrals
Why Derivatives and Integration Must Be Tested Together
At the 70% stage, the AP exam's most challenging questions begin to combine differentiation and integration in a single problem. FTC Part 1 problems require you to differentiate an accumulation function — using derivative rules on an integral. Optimization problems over integrals require setting up and differentiating an integrated expression. Accumulation problems ask you to interpret the integral of a rate of change in a contextual scenario. These hybrid problems cannot be practiced effectively using unit-wise or early sectional tests alone.
Preparing for Full Mock Exams After the 70% Sectional
If your 70% sectional performance reveals consistent strength across all six units, you are ready to begin full AP-style mock exams. If it reveals gaps in specific areas — for example, weakness in FTC applications or in optimization setup — address those gaps through targeted review before attempting a full mock. Students who skip this checkpoint and move directly to full mocks without addressing integration weaknesses frequently underperform on the second half of AP exam FRQs.