Fibonacci and Golden Ratio

Question 1

Which of the following represents the golden ratio formula?
a. a/b = (a+b)/b
b. a/b = (a+b)/a
c. a/b = (a-b)/b
d. a/b = (a-b)/a

Answer 1

b. a/b = (a+b)/a

Question 2

What was Fibonacci’s real name?
a) Leonardo Pisano
b) Leo Pisa
c) Leonardo da Vinci
d) Leonardo Wilhelm DiCaprio

Answer 2

a) Leonardo Pisano

Question 3

Developed by the human mind and culture, is a formal system of thought for recognizing, classifying, and exploiting patterns.
a) Golden Ratio
b) Numbers
c) Fibonacci Number
d) Mathematics

Answer 3

d) Mathematics

Question 3

The golden ratio ϕ is equal to
a. ϕ – 1
b. ϕ + 1
c. 1 + (1/ϕ)
d. 1 – (1/ϕ)

Answer 3

c. 1 + (1/ϕ)

Question 4

What were some of Fibonacci’s mathematical contributions?
a) Roman Numerals and Arabic Number
b) Ten Digits and Decimal Point
c) Fibonacci Number and Golden Ratio
d) All of the above

Answer 4

d) All of the above

Question 5

What is the approximate number for the Golden Ratio?
a) 1.1
b) 0.000465
c) 1.61913398875…
d) 1.61803398875…

Answer 5

d) 1.61803398875…

Question 6

All of the works of Fibonacci are in there except for one.
a) Liber Abaci
b) A letter to Master
c) Floss Written
d) Pythagoras

Answer 6

d) Pythagoras

Question 7

The golden ratio is symbolized by a Greek letter
a) Lambda
b) Alpha
c) Phi
d) Pi

Answer 7

c) Phi

Question 8

Grew up with a North African education under Moors.
a) Leonardo Pisano
b) Jacques Philippe Marie Binet
c) Leonardo da Vinci
d) Leonardo DiCaprio

Answer 8

a) Leonardo Pisano

Question 9

8. Fibonacci spirals are claimed to appear in the arrangements and patterns of fruits, vegetables, pine cones, seed heads, and shells.
   a) True
   b) False

Answer 9

a) True

Question 10

11. Fibonacci was from _________.
    a) Italy
    b) Greece
    c) Russia
    d) Egypt

Answer 10

a) Italy

Question 11

It is a set of numbers that starts with a one or zero, followed by a one, and proceeds based on the rule that each number is equal to the sum of the preceding two numbers.
a. Golden Ratio
b. Mathematics
c. Fibonacci Numbers
d. Fibonacci Sequence

Answer 11

d. Fibonacci Sequence

Question 11

it is divided into two parts: the long part that is divided by the short part is equal to the whole length by the short part is equal to the whole length divided by the long part
a. Fibonacci Number
b. Golden Ratio
c. Number
d. Fibonacci Series

Answer 11

b. Golden Ratio

Question 12

the process of reaching a general conclusion by examining specific examples.
a. Conjecture
b. Inductive Reasoning
c. Deductive Reasoning

Answer 12

b. Inductive Reasoning

Question 13

a fact, name, notation, or usage which is generally agreed upon by mathematicians.
a. Mathematical convention
b. Mathematical conversion
c. Mathematics

Answer 13

a. Mathematical convention

Question 14

It is the analog of an English sentence; it is a correct arrangement of mathematical symbols that states a complete thought.
a. Mathematical Sentence
b. Mathematical convention
c. Mathematical Expression

Answer 14

a. Mathematical Sentence

Question 15

Characteristics of the Language of Mathematics which able to make very fine distinctions
a. Concise
b. Precise
c. Powerful

Answer 15

b. Precise

Question 16

It is the mathematical analog of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest.
a. Mathematical Convention
b. Mathematical Sentence
c. Mathematical Expression

Answer 16

c. Mathematical Expression

Question 17

Characteristics of the Language of Mathematics which ability to express complex thoughts with relative ease.
a. Concise
b. Precise
c. Powerful

Answer 17

c. Powerful

Question 18

either be true or false but not both.
a. Mathematical Sentence
b. Mathematical convention
c. Mathematical Expression

Answer 18

a. Mathematical Sentence

Question 19

inference formed without proof or sufficient evidence (Merriam-Webster)
a. Sentence
b. Conversion
c. Conjecture

Answer 19

c. Conjecture

Question 20

the process of reaching a conclusion by applying general assumptions procedures, or principles.
a. Inductive Reasoning
b. Conjecture
c. Deductive Reasoning

Answer 20

c. Deductive Reasoning

Question 21

What are the Characteristics of the Language of Mathematics?

Answer 21

Precise, Concise, Powerful