Mathematical Models of Euler's Circuits & Euler's Paths

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

How many Euler paths does this graph have?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 75,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime.
Already registered? Log in here for access

1. A graph with an Euler path can have at most how many odd vertices?

2. A graph with an Euler circuit can have at most how many odd vertices?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Euler's circuits and paths are specific models that you can use to solve real world problems, and this quiz and worksheet combo will help you test your understanding of these models. The quiz questions will test you on the properties of Euler paths and circuits, as well as identifying Euler paths on a graph.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying Euler paths on a graph
  • The characteristics of a Euler path
  • Vertices and edges

Skills Practiced

This quiz and worksheet will allow you to test the following skills:

  • Reading comprehension - ensure that you draw the most important information on Euler's paths and circuits from the related lesson
  • Distinguishing differences - compare and contrast topics from the lesson, such as Euler's paths and Euler's circuits
  • Knowledge application - use your knowledge to answer questions about vertices and edges

Additional Learning

To learn more about these models, review the accompanying lesson, Mathematical Models of Euler's Circuits & Euler's Paths. This lesson covers the following objectives:

  • Define Euler's paths and Euler's circuits
  • Differentiate between these two concepts
  • Understand how to identify Euler's circuits and paths on a sample graphs
Support