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WorksheetsMathModern Prelim Exam
Total questions: 47
Worksheet time: 2hrs 27mins
(a) is the series of numbers:
1, 1, 2, 3, 5, 8, 13, 21, 34, …
TRUE or FALSE
The next number in Fibonacci Sequence is found by adding up the two numbers after it.
(a)
TRUE or FALSE
The formula in solving Fibonacci Sequence is:
Fn = Fn+1 + Fn-2
(a)
Which numbers should be included in the following Fibonacci Sequence:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, __, 233, __?
143
144
377
378
He discovered this sequence of numbers that created an interesting pattern.
(a)
What is the real name of Leonardo Fibonacci?
(a)
What is the nickname of Leonardo of Pisa which roughly means "Son of Bonacci clan"?
(a)
Which numbers should be included in the following Fibonacci Sequence:
21, 34, 55, 89, 144, 233, 377, ___, ___
610
611
897
987
The golden ratio was first called as (a) in the early 1500s
Who is the Italian Mathematician who explored Leonardo da Vinci's work?
(a)
What is the title of Leonardo da Vinci's work that was explored by Luca Pacioli?
(a)
In Mathematics, two quantities are in the (a) if their ratio is the same of their sum to the larger of the two quantities.
In simple terms, (a) is expressed as an equation, where a is larger than b, (a + b) divided by a is equal to a divided by b.
What is the value of the golden ratio rounded off to three decimal places?
(a)
What is the Greek character used to represent the golden ratio?
ω
σ
φ
π
Is also called the perfect rectangle by some, is a rectangle in which the ratio of its length to its width is the Golden Ratio.
(a)
It is a spiral pattern created based on the concept of the golden ratio – a universal law that represents the “ideal” in all forms of life and matter.
(a)
If we take the isosceles triangle that has the two base angles of 72° and we bisect one of the base angles, we should see that we get another (a) that is similar to the Golden Rectangle.
TRUE or FALSE:
Fibonacci numbers are said to be as one of the nature’s numbering systems, we see arrangements and structures reflecting Fibonacci numbers or golden ratio.
(a)
TRUE or FALSE:
The golden ratio can be used to achieve beauty, balance and harmony in art, architecture and design.
(a)
It is said that Phi is the initial letters of (a) ’ name adopted to designate the golden ratio.
It was (a) , an American mathematician, who proposed using the first letter of Phidias to represent the golden ratio in the 1900s.
The exterior dimension of the (a) in Athens, Greece embodies the golden ratio.
Another important historical figure that mentioned his use of the golden ratio in his studies was (a) .
What is the title of the work of Plato where he describes five possible regular solids that relate to the golden ratio?
(a)
He was the first to give definition of the golden ratio as “a dividing line in the extreme and mean ratio”.
(a)
What is the title of the Euclid's book where he give a definition of the golden ratio as "a dividing line in the extreme and mean ratio"?
(a)
Some of the creation of (a) were believed that he incorporated the golden ratio in his own paintings such as the Vitruvian Man, The Last Supper and St. Jerome in the Wilderness.
In da Vinci’s “ (a) ”, he used the golden ratio to define the fundamental portions of the painting, rationalizing the body proportions as well as the wall proportions.
He is remembered by his painting “The Creation of Adam” which can be seen on the ceiling of the Sistine Chapel.
(a)
What painting of Michaelangelo that used the golden ratio showing how God’s finger and Adam’s finger meet precisely at the golden ratio point of the weight and the height of the area that contains them?
(a)
Michaelangelo also used the pentagram or golden star in his painting the “ (a) ”.
Who paints the painting “The School of Athens”, where the division between the figures in the painting and their proportions are distributed using the golden ratio?
(a)
The golden triangle and the pentagram can also be found in Raphael’s painting “ (a) ”.
Who is the renowned painter who paints "Self Portrait" that is said to be applied by the golden triangle?
Sandro Botticelli
Georges Seurat
Salvador Dali
Rembrandt
Who is the renowned painter who paints "Birth of Venus" which is one of the world's famous works of art and is of the golden ratio?
Sandro Botticelli
Georges Seurat
Salvador Dali
Rembrandt
In what painting of Sandro Botticelli said that the girl's navel is also at the golden ratio point of the height of Venus’ body?
(a)
Who is the renowned painter who paints "Bathers at Asnières”, the “Bridge of Courbevoie” and “A Sunday on La Grande Jette” that appear to have applied golden ratio to define the horizon, to place point of interest and to create balances?
Sandro Botticelli
Georges Seurat
Salvador Dali
Rembrandt
Who is the renowned painter who paints "The Sacrament of the Last Supper" which is framed using the golden ratio?
Sandro Botticelli
Georges Seurat
Salvador Dali
Rembrandt
The (a) of Giza in Ahmes Papyrus of Egypt is with proportion according to golden ratio.
What is the value of the golden ratio rounded off to nine decimal places?
(a)
TRUE or FALSE:
Whenever we use the number on the Fibonacci Sequence divided by the next number continuously, it is approximately 1.618, near to the value of φ.
(a)
TRUE or FALSE:
The relationship of golden ratio is observed on the human body shape and structure. The ratio of forearm to hand is phi and other part of the human body.
(a)
The human face follows the golden ratio and we find people whose faces are truer to the ratio more attractive.
(a)
Human fingers consist of three phalanxes, the length of all phalanxes of each finger relates to each according to the rule of golden ratio.
(a)
TRUE or FALSE:
Many Renaissance artists used the golden ratio in paintings and sculptures to achieve balance.
(a)
What number is missing in the following set of Fibonacci Sequence:
610, 987, 1597, 2584, 4181, ____ ?
6756
6765
7665
6766
