
Understanding the Golden Ratio and Its Applications

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the unique mathematical property of the golden ratio, phi?
Its square is one more than itself.
It is equal to the sum of its digits.
It is a prime number.
Its square is one less than itself.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Approximately what is the value of phi?
1.61803
2.23607
1.73205
1.41421
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the Pythagorean theorem, what does phi represent in the right triangle discussed?
The shortest side
The longest side
The hypotenuse
The area of the triangle
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the sum of the Earth and Moon's radii and the Earth's radius?
It is equal to the square root of phi.
It is equal to twice the Earth's radius.
It is equal to the cube of phi.
It is equal to phi.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the golden ratio in nature and mathematics?
It is a common occurrence in both nature and mathematics.
It is only significant in art.
It is only found in mathematical equations.
It is rarely found in nature.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the Earth in kilometers as given in the problem?
5,000 km
6,371 km
7,500 km
8,000 km
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the combined radii of the Earth and Moon expressed in terms of Earth radii?
Square root of phi Earth radii
Phi Earth radii
Twice the Earth radii
Half the Earth radii
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