AP® Precalculus MCQ and FRQ Exam Style Questions - Effective Fall 2023
AP® Precalculus – MCQ and FRQ Exam Style Questions- New Syllabus
Ace the AP® PreCalculus Exam! Access comprehensive AP® Precalculus, including practice questions, study guides, and expert tips to maximize your exam score.
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AP Precalculus - MCQ Exam Style Questions
Section
Question Type
Number of Questions
Exam Weighting
Timing
I
Multiple-choice questions
Part A: No calculator is permitted
28
43.75%
80 minutes
Part B: Graphing calculator required
12
18.75%
40 minutes
Unit 1: Polynomial and Rational Functions
- 1.1 Change in Tandem
- 1.2 Rates of Change
- 1.3 Rates of Change in Linear and Quadratic Functions
- 1.4 Polynomial Functions and Rates of Change
- 1.5 Polynomial Functions and Complex Zeros
- 1.6 Polynomial Functions and End Behavior
- 1.7 Rational Functions and End Behavior
- 1.8 Rational Functions and Zeros
- 1.9 Rational Functions and Vertical Asymptotes
- 1.10 Rational Functions and Holes
- 1.11 Equivalent Forms of Polynomial and Rational Expressions
- 1.12 Transformations of Functions
- 1.13 Function Models: Selection and Assumptions
- 1.14 Function Models: Construction and Application
Unit 2: Exponential and Logarithmic Functions
- 2.1 Arithmetic and Geometric Sequences
- 2.2 Linear and Exponential Change
- 2.3 Exponential Functions
- 2.4 Exponential Function Manipulation
- 2.5 Exponential Function Modeling
- 2.6 Competing Function Models
- 2.7 Composition of Functions
- 2.8 Inverse Functions
- 2.9 Logarithmic Expressions
- 2.10 Inverses of Exponential Functions
- 2.11 Logarithmic Functions
- 2.12 Logarithmic Function Manipulation
- 2.13 Exponential and Logarithmic Equations and Inequalities
- 2.14 Logarithmic Function Modeling
- 2.15 Semi-log Plots
Unit 3: Trigonometric and Polar Functions
- 3.1 Periodic Phenomena
- 3.2 Sine, Cosine, and Tangent
- 3.3 Sine and Cosine Values
- 3.4 Sine and Cosine Graphs
- 3.5 Sinusoidal Functions
- 3.6 Sinusoidal Transformations
- 3.7 Sinusoidal Modeling
- 3.8 The Tangent Function
- 3.9 Inverse Trigonometric Functions
- 3.10 Trigonometric Equations and Inequalities
- 3.11 Secant, Cosecant, and Cotangent
- 3.12 Equivalent Trigonometric Forms
- 3.13 Trigonometry and Polar Coordinates
- 3.14 Polar Function Graphs
- 3.15 Rates of Change in Polar Functions
AP Precalculus - FRQ Exam Style Questions
Section
Question Type
Number of Questions
Exam Weighting
Timing
II
Free-response questions
Part A: Graphing calculator required
2
18.75%
30 minutes
Part B: No calculator is permitted
2
18.75%
30 minutes
Unit 1: Polynomial and Rational Functions
- 1.1 Change in Tandem
- 1.2 Rates of Change
- 1.3 Rates of Change in Linear and Quadratic Functions
- 1.4 Polynomial Functions and Rates of Change
- 1.5 Polynomial Functions and Complex Zeros
- 1.6 Polynomial Functions and End Behavior
- 1.7 Rational Functions and End Behavior
- 1.8 Rational Functions and Zeros
- 1.9 Rational Functions and Vertical Asymptotes
- 1.10 Rational Functions and Holes
- 1.11 Equivalent Forms of Polynomial and Rational Expressions
- 1.12 Transformations of Functions
- 1.13 Function Models: Selection and Assumptions
- 1.14 Function Models: Construction and Application
Unit 2: Exponential and Logarithmic Functions
- 2.1 Arithmetic and Geometric Sequences
- 2.2 Linear and Exponential Change
- 2.3 Exponential Functions
- 2.4 Exponential Function Manipulation
- 2.5 Exponential Function Modeling
- 2.6 Competing Function Models
- 2.7 Composition of Functions
- 2.8 Inverse Functions
- 2.9 Logarithmic Expressions
- 2.10 Inverses of Exponential Functions
- 2.11 Logarithmic Functions
- 2.12 Logarithmic Function Manipulation
- 2.13 Exponential and Logarithmic Equations and Inequalities
- 2.14 Logarithmic Function Modeling
- 2.15 Semi-log Plots
Unit 3: Trigonometric and Polar Functions
- 3.1 Periodic Phenomena
- 3.2 Sine, Cosine, and Tangent
- 3.3 Sine and Cosine Values
- 3.4 Sine and Cosine Graphs
- 3.5 Sinusoidal Functions
- 3.6 Sinusoidal Transformations
- 3.7 Sinusoidal Modeling
- 3.8 The Tangent Function
- 3.9 Inverse Trigonometric Functions
- 3.10 Trigonometric Equations and Inequalities
- 3.11 Secant, Cosecant, and Cotangent
- 3.12 Equivalent Trigonometric Forms
- 3.13 Trigonometry and Polar Coordinates
- 3.14 Polar Function Graphs
- 3.15 Rates of Change in Polar Functions
How Student Learning Is Assessed on the AP Exam:
Section I: Multiple-Choice
Function Type
Unit
MCQ Section Weighting
General Functions (non-analytical)
Units 1 and 2
15–23%
Polynomial and Rational Functions
Unit 1
20–25%
Exponential and Logarithmic Functions
Unit 2
22–28%
Trigonometric and Polar Functions
Unit 3
30–35%
Section II: Free-Response
Free-Response Task Type
Unit Focus
Graphing Calculator?
Real-World Context?
FRQ 1: Function Concepts
1, 2
Yes
No
FRQ 2: Modeling a Non-Periodic Context
1, 2
Yes
Yes
FRQ 3: Modeling a Periodic Context
3
No
Yes
FRQ 4: Symbolic Manipulations
2, 3
No
No