AP Calculus AB Practice Tests

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Limits 30%
Derivatives 35%
Integrals and the Fundamental Theorem of Calculus 35%
  • Questions 1,713
  • Vocabulary Terms 111
  • Performance Tasks 60
  • Instructional Videos 34

Test Standards

1. (EK 1.1A1)  Limit defined
2. (EK 1.1A2)  Extend limit concept
3. (EK 1.1A3)  Nonexistent limits
4. (EK 1.1B1)  Estimate limits
5. (EK 1.1C1)  Theorems and rules
6. (EK 1.1C2)  Algebra, Trig, Squeeze
7. (EK 1.1C3)  L’Hospital’s Rule
8. (EK 1.1D1)  Asymptotic & unbounded
9. (EK 1.1D2)  Magnitudes and rates of change
10. (EK 1.2A1)  Continuity defined
11. (EK 1.2A2)  Continuous functions
12. (EK 1.2A3)  Types of discontinuities
13. (EK 1.2B1)  Continuity as condition
1. (EK 2.1A1)  Difference quotients
2. (EK 2.1A2)  Instantaneous rate of change
3. (EK 2.1A3)  Derivative defined
4. (EK 2.1A4)  Derivative notations
5. (EK 2.1A5)  Derivative representations
6. (EK 2.1B1)  Estimate derivative at a point
7. (EK 2.1C1)  Apply the definition of the derivative
8. (EK 2.1C2)  Specific rules
9. (EK 2.1C3)  Derivative rules
10. (EK 2.1C4)  Chain rule
11. (EK 2.1C5)  Implicit differentiation
12. (EK 2.1C6)  Derivatives of inverse functions
13. (EK 2.1D1)  Higher order derivatives
14. (EK 2.1D2)  Higher order derivative notation
15. (EK 2.2A1)  Graph features from derivatives
16. (EK 2.2A2)  Key features
17. (EK 2.2A3)  f, f', and f
18. (EK 2.2B1)  Continuous, not differentiable
19. (EK 2.2B2)  Differentiable implies continuous
20. (EK 2.3A1)  Units for derivatives
21. (EK 2.3A2)  Derivative as rate of change
22. (EK 2.3B1)  Derivative as tangent slope
23. (EK 2.3B2)  Local linear approximation
24. (EK 2.3C1)  Rectilinear motion
25. (EK 2.3C2)  Related rates
26. (EK 2.3C3)  Optimization
27. (EK 2.3D1)  Applied rates of change
28. (EK 2.3E1)  Differential equations
29. (EK 2.3E2)  Verify solutions
30. (EK 2.4A1)  Mean Value Theorem
Integrals and the Fundamental Theorem of Calculus
1. (EK 3.1A1)  Antiderivatives
2. (EK 3.1A2)  Finding antiderivatives
3. (EK 3.2A1)  Riemann sums
4. (EK 3.2A2)  Definite integral defined
5. (EK 3.2A3)  Translate definite integrals into sums
6. (EK 3.2B1)  Approximate definite integrals
7. (EK 3.2B2)  Use various approximations
8. (EK 3.2C1)  Use geometry
9. (EK 3.2C2)  Definite integral properties
10. (EK 3.2C3)  Integrals with discontinuities
11. (EK 3.3A1)  Define new functions
12. (EK 3.3A2)  Derivative of integrals
13. (EK 3.3A3)  Representations of integral-defined function
14. (EK 3.3B1)  Defined antiderivative
15. (EK 3.3B2)  Substitution theorem
16. (EK 3.3B3)  Indefinite integral
17. (EK 3.3B4)  Closed form antiderivatives
18. (EK 3.3B5)  Antidifferentiation techniques
19. (EK 3.4A1)  Accumulated rate of change
20. (EK 3.4A2)  Integral as net change
21. (EK 3.4A3)  Limit of Riemann sum
22. (EK 3.4B1)  Average value
23. (EK 3.4C1)  Particle motion
24. (EK 3.4D1)  Areas of plane regions
25. (EK 3.4D2)  Volumes
26. (EK 3.4E1)  Applied accumulation and net change
27. (EK 3.5A1)  Solve differential equations
28. (EK 3.5A2)  Separable differential equations
29. (EK 3.5A3)  Domain restrictions
30. (EK 3.5A4)  General solutions
31. (EK 3.5B1)  Exponential models