---
title: "AP Calculus BC Unit 9 Practice Test"
description: "A timed AP Calculus BC Unit 9 (Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)) practice test in the AP format, drawn from 789 multiple-choice questions and 25 FRQs written for the unit. The standard version takes about 78 minutes."
canonical: "https://fiveable.me/ap-calc-bc/unit-test/9"
type: "unit-test"
subject: "AP Calculus BC"
unit: "Unit 9"
---

# AP Calculus BC Unit 9 Practice Test

## Overview

A timed AP Calculus BC Unit 9 (Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)) practice test in the AP format, drawn from 789 multiple-choice questions and 25 FRQs written for the unit. The standard version takes about 78 minutes.

## Test Format

- 20 Multiple Choice Questions (48 minutes)
- 1 FRQ – FRQs – Graphing calculator required (15 minutes)
- 1 FRQ – FRQs – No graphing calculator (15 minutes)

## Unit FRQs by Type

- [FRQs – Graphing calculator required](/ap-calc/frqs/calculator?unit=9): 7 questions
- [FRQs – No graphing calculator](/ap-calc/frqs/no-calculator?unit=9): 18 questions

## Review the Unit

- [9.1 Defining and Differentiating Parametric Equations](/ap-calc/unit-9/defining-differentiating-parametric-equations/study-guide/nU1r8WpcsY2eYA0axz89)
- [9.2 Second Derivatives of Parametric Equations](/ap-calc/unit-9/second-derivatives-parametric-equations/study-guide/3lZ6t0UnfoooCAKbZ3Hq)
- [9.3 Finding Arc Lengths of Curves Given by Parametric Equations](/ap-calc/unit-9/finding-arc-lengths-curves-given-by-parametric-equations/study-guide/RygoOfTtj7Z4Al8q76Zs)
- [9.4 Defining and Differentiating Vector-Valued Functions](/ap-calc/unit-9/defining-differentiating-vector-valued-functions/study-guide/z7ZmELI67oVaf9UpfEEM)
- [9.5 Integrating Vector-Valued Functions](/ap-calc/unit-9/integrating-vector-valued-functions/study-guide/9ud7kk4XgyuZAE5AQUy0)
- [9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions](/ap-calc/unit-9/solving-motion-problems-using-parametric-vector-valued-functions/study-guide/822WmESOAkewHtJt1Cd1)
- [9.7 Defining Polar Coordinates and Differentiating in Polar Form](/ap-calc/unit-9/defining-polar-coordinates-differentiating-polar-form/study-guide/T4qHk9wFJdyA5ZzENJ9h)
- [9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve](/ap-calc/unit-9/find-area-polar-region-or-area-bounded-by-single-polar-curve/study-guide/XhdT4ohGZFpzjdRT2l2q)
- [9.9 Finding the Area of the Region Bounded by Two Polar Curves](/ap-calc/unit-9/finding-area-region-bounded-by-two-polar-curves/study-guide/0yrxLHNF6HhWcnmeBWVO)

## Other Unit Tests

- [Unit 1: Limits and Continuity](/ap-calc-bc/unit-test/1)
- [Unit 2: Fundamentals of Differentiation](/ap-calc-bc/unit-test/2)
- [Unit 3: Composite, Implicit, and Inverse Functions](/ap-calc-bc/unit-test/3)
- [Unit 4: Contextual Applications of Differentiation](/ap-calc-bc/unit-test/4)
- [Unit 5: Analytical Applications of Differentiation](/ap-calc-bc/unit-test/5)
- [Unit 6: Integration and Accumulation of Change](/ap-calc-bc/unit-test/6)
- [Unit 7: Differential Equations](/ap-calc-bc/unit-test/7)
- [Unit 8: Applications of Integration](/ap-calc-bc/unit-test/8)
- [Unit 10: Infinite Sequences and Series (BC Only)](/ap-calc-bc/unit-test/10)

## About This Document

Canonical Fiveable pages are available as Markdown at the same path plus `.md`.

- [llms.txt](https://fiveable.me/llms.txt): index of Fiveable's sections and URL patterns
- [llms-full.txt](https://fiveable.me/llms-full.txt): complete subject and unit listing
- [MCP server](https://fiveable.me/mcp): call Fiveable as tools instead of fetching pages (`https://fiveable.me/api/mcp`)
- [MCP server for AP teachers](https://fiveable.me/mcp/teachers): a teacher's classes, assignments and AP-rubric grading (`https://fiveable.me/api/mcp/teacher`)