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GEMATMW - Golden Ratio and Fibonacci Sequence

Total questions: 14

Worksheet time: 13mins

Name
Class
Date
1.

What Greek Symbol represents The Golden Ratio?

a)

Phi

b)

Pi

c)

Psi

d)

Theta

e)

Delta

2.

What are some of the application of The Golden Ratio?

a)

Dance, Music and Writing

b)

Architecture, Music and Design

c)

Art, Reading and Counting

d)

English, Political Justice and Sports Management

3.
Which of the following would be a Fibonacci sequence?
a)
1, 2, 3, 4, 5, 6
b)
2, 4, 6, 10, 16, 26
c)
3, 6, 9, 12, 15, 18
d)
4, 2, 1, 1/2, 1/4, 1/8
4.
What is the Fibonacci number pattern?
a)
Counting up starting from 1 by 1.
b)
Adding the two numbers before it to get the next number.
c)
Multiplying the two numbers before it to get the next number.
d)
Subtracting the two numbers before it to get the next number.
5.
Is this an example of Fibonacci's number sequence in nature?
a)
Yes
b)
No
6.
Fibonacci spirals are claimed to appear in the arrangements and patterns of fruits, vegetables, pine cones, seed heads and shells.
a)
True
b)
False
7.
What animal was Fibonacci studying when he discovered this number sequence?
a)
Cows
b)
Rabbits
c)
Chickens
d)
Dogs
8.
Is this an example of Fibonacci's number sequence in nature?
a)
Yes
b)
No
9.

True or false: The Golden Ratio is rational.

a)

True

b)

False

10.

What is the approximate number for the Golden Ratio?

a)

1.1

b)

0.000465

c)

1.61913398875…

d)

1.61803398875…

11.

Select two that fills in one of the blanks


3, 5, __, 13, 21, __, 55, 89,...

a)

34

b)

9

c)

8

d)

28

12.

4, 5, 9, 14, _____

a)

20

b)

23

c)

24

d)

25

13.

10,12, 22, 34, _____

a)

56

b)

52

c)

48

d)

44

14.
What did Fibonacci say about The Golden Ratio?
a)
The Fibonacci sequence is equal to The golden ratio
b)
The Fibonacci sequence is not equal to The golden ratio
c)
The Fibonacci sequence approaches The golden ratio
d)
The Fibonacci sequence has not relation what so ever to The golden ratio