Golden Ratio

The value of phi, namely the golden number is approximately 1.6180339887... What type of number is it?

• An irrational number

• A whole number

• A rational number

• A algebraic number

• A real number

The American mathematician, Mark Barr, has chosen Phi as the symbol for the golden ratio. Phi is named after which of the following Greek sculptors?

• Philips

• Phidias

• Phiviles

• Phixels

The golden ratio is:

• The ratio of the circumference of a circle to its diameter.

• The ratio of the width of a rectangular picture frame to its height.

• The ratio of two successive numbers of the Fibonacci sequence.

• The ratio of two parts of a line such that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

Which famous quadratic equation(s) can be used to derive the golden ratio directly?

• x^2-x+1=0

• x^2+x+1=0

• x^2+x-1=0

• x^2-x-1=0

• 1/x = x - 1

The reciprocal of the golden ratio (phi) shares the same value with which expression?

• Phi + 1

• Phi + 2

• Phi - 1

• Phi - 2

The golden ratio is also known by many other names. Which of the following names is one of those?

• The golden proportion

• The golden mean

• The golden integer

• The golden number

• The divine proportion

Find the right way to draw a golden rectangle :

a - Turn that line so that it runs along the square's side

b - Draw a line from that point to an opposite corner (it is √5/2 in length)

c - Draw a square (of size "1")

d - Place a dot half way along one side

• a-b-c-d

• c-d-b-a

• a-b-d-c

• c-b-d-a

Tags

CCSS.3.MD.D.8

8. The number pi (3.142...) is celebrated on 14 March. On which day do we celebrate phi day?

• 18 March

• 16 January

• 18 June

• 16 August

Tags

CCSS.HSG.GMD.A.1

Which number(s) is (are) not in the Fibonacci Sequence ?

• 6

• 8

• 21

• 15

• 13

Tags

CCSS.HSF.BF.A.2

The golden ratio is claimed to appear in many fields, such as

• cosmology

• geography

• arts

• architecture

• botany