2020 AP Calculus AB Practice Exam
By: Patrick Cox
Original non-secure materials written based on previous secure multiple choice and FRQ
questions from the past three years. I wrote this as a way for my students to have access to
multiple choice and FRQ since secure materials can’t be used outside of class.
Feel free to use in your class, post to the internet/classroom, you will find the answer key
to the multiple choice and FRQ at the end. Below, you can find which problems can be
answered after each unit in the CED (although questions definitely can span across
multiple units in the CED). I do not work for Collegeboard so these categorizations are to
the best of my knowledge using the public CED.
Pages 2-15 Non-Calculator MC
Pages 16-23 Calculator MC
Pages 24-27 Calculator FRQ
Pages 28-34 Non-Calculator FRQ
Pages 36-42 Solutions
Questions By Unit in CED:
Unit 1: 21, 24, 76, 90, FRQ 1(a), FRQ 5 (d)
Unit 2: 6, 8, 25, 28, 80, FRQ 5 (c), FRQ 6 (a)
Unit 3: 14, 16, 81, FRQ 4 (c), FRQ 6 (b)
Unit 4: 5, 10, 12, 18, 23, 87, 88, FRQ 1(d), FRQ 2 (b) (c), FRQ 5 (b) (c), FRQ 6 (d)
Unit 5: 9, 13, 15, 82, 83, 84, 85, FRQ 3 (b) (c)
Unit 6: 3, 4, 11, 19, 20, 22, 29, 78, 79, 86, FRQ 3 (a) (d), FRQ 5 (a) (b), FRQ 6 (c)
Unit 7: 2, 7, 27, FRQ 4 (a) (b)
Unit: 8: 1, 17, 26, 30, 77, 89, FRQ 1 (b) (c), FRQ 2 (a) (d)

Non-Calculator Multiple Choice
1) A particle moves along a straight line so that at time t ≥ 0 its acceleration is
given by the function
. At time t = 0, the velocity of the particle is 4
(
t
)
t
a
= 4
and the position of the particle is 1. Which of the following is an expression for
the position of the particle at time t ≥ 0?

2)
Shown above is a slope field for which of the following differential equations?
x
y

3)
The graph of a piecewise linear function f(x) is above. Evaluate
(a)
2
(b)
− 2
(c)
5
(d)
0
4)
(a)
n
5
5 −
l
(b)
n
5
4 −
l
(c)
n
5
2 −
l
(d)
n
5
1 −
l

5)
is
n

6) Let f be the function defined above. Which of the following statements
about f is true?
(a) f is continuous and differentiable at x = -2.
(b) f is continuous but not differentiable at x = -2.
(c) f is differentiable but not continuous at x = -2.
(d) f is defined but is neither continuous nor differentiable at x = -2.

7) The equation
is a particular solution to which of the following
y
=
e
2
differential equations?
x
− 1

8) For any real number x,
lim
h
→0
h
cos
((
x
+
h
) )−
cos
(
x
)
2
2
=
(a)
os
(
x
)
c
2
(b)
xcos
(
x
)
2
2
(c)
in
(
x
)
−
s
2
(d)
xsin
(
x
)
− 2
2