Understanding Routes and Paths

Understanding Routes and Paths

Assessment

Interactive Video

Mathematics, Science, Fun

6th - 8th Grade

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial presents a problem where a man must travel from town A and complete a tour of roads, using each road only once. The challenge is to determine how many different routes are possible, given the constraints that each route must end at town A and travel directly from town to town without turning at crossroads. The tutorial emphasizes the need for an ingenious method to solve this puzzle.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the man starting from town A?

To avoid all crossroads

To make a complete tour of the roads

To visit each town twice

To find the shortest route

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key constraint in the man's journey?

He must visit each road once and only once

He can end at any town

He must visit each road twice

He can start from any town

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might the problem of finding different routes be puzzling?

Because it requires an ingenious method

Because the roads are not connected

Because there are too many roads

Because the towns are too far apart

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must every route do according to the problem's constraints?

End at a different town

Include a visit to every town twice

End at the town from which it started

Avoid all crossroads

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of not turning off at crossroads?

It reduces the number of possible routes

It makes the journey longer

It allows for multiple visits to the same road

It ensures a direct path between towns