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STREAAM Camp: Day 7 Seniors

Total questions: 5

Worksheet time: 3mins

Name
Class
Date
1.

The famous problem about reproducing rabbits that leads to the Fibonacci sequence was first posed by which mathematician?

a)

Isaac Newton

b)

Pythagoras

c)

Leonardo of Pisa (Fibonacci)

d)

Albert Einstein

2.

The Golden Ratio (φ) describes a special proportion. It states that the ratio of the whole line (a+b) to the larger part (a) is the same as...

a)

The ratio of the larger part (a) to the smaller part (b)

b)

The ratio of the smaller part (b) to the whole line (a+b)

c)

The sum of the two parts (a+b)

d)

The ratio of the larger part (a) to itself

3.

What is the fascinating relationship between the Fibonacci Sequence and the Golden Ratio?

a)

If you multiply Fibonacci numbers, you get the Golden Ratio.

b)

If you divide a Fibonacci number by the one before it, the result gets closer and closer to the Golden Ratio.

c)

The Golden Ratio is the first number in the Fibonacci Sequence.

d)

There is no relationship between them.

4.

An architect is designing a new building and wants the front face to be incredibly pleasing to the eye. What mathematical concept, seen in nature and art, might they use for the building's proportions?

a)

The Magic Square sum

b)

The first number in the Fibonacci Sequence

c)

The Golden Ratio

d)

A prime number

5.

A budding flower has 1 petal. The next day it has 2 petals, then it has 3, then 5, and the next day it has 8. This plant's growth is following the...

a)

Rules of a Magic Square

b)

Golden Ratio

c)

Fibonacci Sequence

d)

Sequence of even numbers