Tax Dynamics in Duonia

Tax Dynamics in Duonia

Assessment

Interactive Video

Mathematics, Religious Studies

9th - 12th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial follows a pilgrim's journey to the temple in Duonia, a city with a unique tax system. The tax increases with each block walked east or south and decreases with each block walked north or west. The pilgrim must reach the temple without owing any tax, while adhering to the rule of not walking the same block twice in any direction. By analyzing the effects of clockwise and counterclockwise loops, the pilgrim discovers a path that reduces the tax to zero, demonstrating that sometimes an indirect route is the best way to reach a destination.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the starting point of the pilgrim's journey in Duonia?

Southeast corner of the city

Northwest entrance of the city

Center of the city

Southwest corner of the city

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many blocks does the city of Duonia consist of?

16 blocks

25 blocks

12 blocks

20 blocks

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial tax owed by the pilgrim upon entering Duonia?

Six silver

Eight silver

Two silver

Four silver

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the tax change when walking east in Duonia?

Increases by two silver

Doubles

Decreases by two silver

Halves

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the tax when a pilgrim walks a clockwise loop?

It increases by one silver

It remains the same

It decreases by one silver

It doubles

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of a counterclockwise loop on the tax?

It increases by one silver

It doubles

It remains the same

It decreases by one silver

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many counterclockwise loops are needed to reduce the initial tax to zero?

Five loops

Four loops

Three loops

Two loops

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