---
title: "AP Calculus BC Unit 8 Practice Test"
description: "A timed AP Calculus BC Unit 8 (Applications of Integration) practice test in the AP format, drawn from 831 multiple-choice questions and 21 FRQs written for the unit. The standard version takes about 78 minutes."
canonical: "https://fiveable.me/ap-calc-bc/unit-test/8"
type: "unit-test"
subject: "AP Calculus BC"
unit: "Unit 8"
---

# AP Calculus BC Unit 8 Practice Test

## Overview

A timed AP Calculus BC Unit 8 (Applications of Integration) practice test in the AP format, drawn from 831 multiple-choice questions and 21 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=8): 7 questions
- [FRQs – No graphing calculator](/ap-calc/frqs/no-calculator?unit=8): 14 questions

## Review the Unit

- [8.1 Finding the Average Value of a Function on an Interval](/ap-calc/unit-8/finding-average-value-function-on-an-interval/study-guide/HjiYTRAnQdY0eCQpqtpg)
- [8.2 Connecting Position, Velocity, and Acceleration of Functions Using Integrals](/ap-calc/unit-8/connecting-position-velocity-acceleration-functions-using-integrals/study-guide/k9tY28YXs7YDVu1uqFuw)
- [8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts](/ap-calc/unit-8/using-accumulation-functions-definite-integrals-applied-contexts/study-guide/nUlJKvXqRcsfLnVMd5fG)
- [8.4 Finding the Area Between Curves Expressed as Functions of x](/ap-calc/unit-8/finding-area-between-curves-expressed-as-functions-x/study-guide/Zyj7XJuPfoWBuAJ96ZAG)
- [8.5 Finding the Area Between Curves Expressed as Functions of y](/ap-calc/unit-8/finding-area-between-curves-expressed-as-functions-y/study-guide/PHhLi2WAxSUrfKfoDQar)
- [8.6 Finding the Area Between Curves That Intersect at More Than Two Points](/ap-calc/unit-8/finding-area-between-curves-that-intersect-at-more-than-two-points/study-guide/QVBQ9TQDM4ZObJl6o0ad)
- [8.7 Volumes with Cross Sections: Squares and Rectangles](/ap-calc/unit-8/volumes-with-cross-sections-squares-rectangles/study-guide/djttfP0mZkJ7Nn8QrB7r)
- [8.8 Volumes with Cross Sections: Triangles and Semicircles](/ap-calc/unit-8/volumes-with-cross-sections-triangles-semicircles/study-guide/MdCM1QIIKig30toAaneo)
- [8.9 Volume with Disc Method: Revolving Around the x- or y-Axis](/ap-calc/unit-8/volume-with-disc-method-revolving-around-x-or-y-axis/study-guide/ZYnKJoUmSzzGYJHCSqM3)
- [8.10 Volume with Disc Method: Revolving Around Other Axes](/ap-calc/unit-8/volume-with-disc-method-revolving-around-other-axes/study-guide/q8HRD4jQBvvU4ZRRkoTb)
- [8.11 Volume with Washer Method: Revolving Around the x- or y-Axis](/ap-calc/unit-8/volume-with-washer-method-revolving-around-x-or-y-axis/study-guide/9kgWFLHEU5oAfAA5aXaq)
- [8.12 Volume with Washer Method: Revolving Around Other Axes](/ap-calc/unit-8/volume-with-washer-method-revolving-around-other-axes/study-guide/LlG9jCFLxe4kpDTDNtHX)
- [8.13 The Arc Length of a Smooth, Planar Curve and Distance Traveled](/ap-calc/unit-8/arc-length-smooth-planar-curve-distance-traveled/study-guide/VuFN4NwqUsH4pT1TlVad)

## 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 9: Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)](/ap-calc-bc/unit-test/9)
- [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`)