QUIZ

And the finalists are:

• 1

• 2

• 3

• 4

• 5

• 6

Team Names

• Madhava

• Brahmagupta

• Ramanujan

• Aryabhata

• Shakuntala

• Mahavira

Locus of the Question

• (3 * 6) = 18 Questions in the Round.

• +10 for correct answer.

• No negatives for incorrect.

• Participants have to speak the answer, loudly.

• Unanswered Questions pass in clockwise order from Team 1 to Team 2 ……… to Team 6.

• The round is fair & standard.

• If Nth team answers the question, next question goes to (N+1)th team.

• All unmentioned rules are at Quizmaster’s Discretion.

Role of Audience? • The loudest person to clap gets chocolate in

every round of applause.

• The person who keeps clapping till the last gets 2 chocolates.

• In case a question is unanswered, it will become an audience question.

• But until the question is alive on stage, please keep your answers to yourself.

• Never shout the answer, raise your hand.

But Before we begin, Let’s hear it for SPSTI

Know your Quizmaster

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• Moron.

Speciality – Bollywood, India & Business

Disclaimer • The students have been tested for skill in

mathematics.

• Now, it is time to test them awareness of the subject.

• Half of the quiz is trivia about Mathematicians and half of the quiz is workable.

• Half of the quiz derives mathematics from culture, Art, News etc.

• There is nothing you can solve in the finals.

• Let us Begin!

• 1. It is sometimes claimed that we owe pure mathematics to him, and he is often called the first "true" mathematician. He established a school in Croton, Italy with the motto – “All is numbers”.

• He is also credited with the discovery that the intervals between harmonious musical notes always have whole number ratios.

• But people know him for one of the most famous theorems in Mathematics.

• Which Mathematician, who lived 2500 years ago?

2. The "________” remained the definitive textbook on geometry and mathematics for well over two millennia, surviving the eclipse in classical learning in Europe during the Dark Ages through Arabic translations.

• It set, for all time, the model for mathematical argument, following logical deductions from initial assumptions (which the author called “axioms” and "postulates") in order to establish proven theorems.

• Name the book and the author.

• The blank is the name of the book.

3. Despite his important contributions to pure mathematics, he is probably best remembered for the anecdotal story of his discovery of a method for determining the volume of an object with an irregular shape.

“An object immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object”

His last words are supposed to have been “Do not disturb my circles!

Audience: story tellers get chocolates after the question

4. The great 7th Century Indian mathematician and astronomer ____ wrote some important works on both mathematics and astronomy. He dedicated a substantial portion of his work to geometry and trigonometry.

He established √10 (3.162277) as a good practical approximation for π (3.141593), and gave a formula, now known as _____'s Formula, for the area of a cyclic quadrilateral, as well as a celebrated theorem on the diagonals of a cyclic quadrilateral, usually referred to as _____'s Theorem.

5. One of the first Directors of the House of Wisdom in

Bagdad in the early 9th Century was an outstanding

Persian mathematician called Muhammad ______.

The word “algorithm” is derived from the Latinization of

his name, and "algebra" is derived from the Latinization

of "al-jabr", part of the title of his most famous book.

He gave the “completing the square method” to find

roots of quadratic equation.

Al khwarizmi

6. The 13th Century Italian Leonardo of Pisa, better

known by his nickname ____, was perhaps the

most talented Western mathematician of the

Middle Ages.

In particular, in 1202, he wrote a hugely influential

book called “Liber Abaci” ("Book of Calculation").

He discovered something while studying the growth

of a hypothetical population of rabbits based on

idealized assumptions.

Fibonacci

7. He was the founder of the Kerala school of

Mathematics & Astronomy.

Unlike most previous cultures, which had been rather

nervous about the concept of infinity, he was more

than happy to play around with infinity, particularly

infinite series- Sine, Cosine, Tangent, Arc Cos, 𝝅 etc.

In astronomy, he discovered a procedure to determine

the positions of the Moon every 36 minutes, and

methods to estimate the motions of the planets.

Madhava

8. _____ has been dubbed the "Father of Modern

Philosophy", but he was also one of the key figures in the

Scientific Revolution of the 17th Century, and is considered

the first of the modern school of mathematics.

• He quoted “Cogito ergo sum” (“I think, therefore I am”).

• His revolutionary ideas made him a centre of controversy

in his day. 13 years after his death, his works were placed

on the Catholic Church's "Index of Prohibited Books".

9. His so-called Little Theorem is often used in the

testing of large prime numbers, and is the basis of

the codes which protect our credit cards in Internet

transactions today.

In addition to his work in number theory, he

anticipated the development of calculus to some

extent, and his work in this field was invaluable later

to Newton and Leibniz.

10. Physicist, mathematician, astronomer, natural philosopher,

alchemist and theologian, _____ is considered by many to be one

of the most influential men in human history.

_____ chose not to publish his revolutionary mathematics straight

away, worried about being ridiculed for his unconventional ideas.

He wrote a number of religious tracts, acted as Member of

Parliament for some years, and became perhaps the best-known

Master of the Royal Mint in 1699, a position he held until his death

in 1727.

In 1703, he was made President of the Royal Society and, in 1705,

became the first scientist ever to be knighted.

11. . He was a child prodigy and worked initially on applied sciences. He has a law in physics named after him. He believed in God because it was a safer “bet”.

He is usually remembered today as one of the most important authors of the French Classical Period and one of the greatest masters of French prose, much more than for his contributions to mathematics.

He and Fermat applied themselves to “Winner takes it all”, “”Gambler’s Ruin”, “Problem of Points” etc. varieties of problem.

12. When G.H Hardy was asked in an interview that

which discovery was his most useful discovery and

that he is proud of, he is known to have

unhesitatingly responded:

“the discovery of _____________”.

Fill in the Blank.

13.

A. The complement of Union of 2 sets is the intersection of the complements of the sets.

B. The complement of the intersection of 2 sets is the Union of complement of the two sets.

• These laws, a crater on the moon, HQ London

Mathematical Society & London University

Mathematics Club have been named after which

Madurai born British Mathematician?

• 14. Unusually in the history of mathematics, a single family produced half a dozen outstanding mathematicians. Johann in particular was jealous of the elder Jacob's position and the two often attempted to outdo each other.

• When Jacob died, Johann became jealous of his Son Daniel & Published Daniel’s book secretly in his name.

• However, Destiny played a part when L’Hospital published Jacob’s book in his own name. Johann’s sons Nicolaus, Daniel and Johann II, and even his grandchildren Jacob II and Johann III, were all accomplished mathematicians and teachers.

• Johann also discovered the number e. which Family?

• 15.

• The base 10 system is called the decimal system,

what is the base 60 system called?

• Sexagecimal System

16. ______ was a committed and high-profile

political activist throughout his long life. He was a

prominent anti-war activist during both the First

and Second World Wars, championed free trade and

anti-imperialism, and later became a strident

campaigner for nuclear disarmament and socialism,

and against Adolf Hitler, Soviet totalitarianism and

the USA’s involvement in the Vietnam War.(Picture

on next slide)

Bertrand Russel

• 17. He is a Canadian-American Mathematician who

holds adjunct professorships at IIT-B, TIFR, &

University of Hyderabad. He is a well-known scholar

of Sanskrit & ancient India and also learnt Tabla from

Zakir Hussain. He did his PhD under Andrew wiles.

He was the recipient of Field’s Medal (The Nobel for

Mathematics under 40 age group) in 2014.

• Who?

18. Which German mathematician is known as the

inventor of Set theory?

David Hilbert once noted:

“No one shall expel us from the paradise ________

created.”

Georg Cantor

End of Round 1

• Scores & applause!

Round 2: Mathematics in Culture

• All teams have to write the answers.

• All questions will be answered by Audience after exchange of Sheets.

• +10/0.

• 5 questions.

• Audience – please be patient.

1. Logo of What?

2. A recurring Tintin

character.

What is his name?

3. Google Doodle commemorating whom?

4. Name the toy.

This is a modified Sudoku in which the correct colour orientation is required. The name derives from another toy & Sudoku.

5. He is a DC world Super villain.

He is known to wear a suit with a

mini computer which can

calculate the actions of any super

hero on Earth.

He is known to have a sharp

mind thus giving him the title of

____________.

End of Round: Exchange sheets.

• In case of discrepancy, call the quizmaster.

Audience – Your Turn.

1. Logo of What?

2. A recurring Tintin

character.

What is his name?

3. Google Doodle commemorating whom?

4. Name the toy.

This is a modified Sudoku in which the correct colour orientation is required. The name derives from another toy & Sudoku.

Rubiksudoku

5. He is a DC world Super villain.

He is known to wear a suit with a

mini computer which can

calculate the actions of any super

hero on Earth.

He is known to have a sharp

mind thus giving him the title of

____________.

Calculator

• Scores & applause!

Round 3 – Reverse Locus

• (3 * 6) = 18 Questions in the Round.

• +10 for correct answer.

• No negatives for incorrect.

• Participants have to speak the answer, loudly.

• Unanswered Questions pass in Anti- clockwise order from Team 6 to Team 5 ……… to Team 1.

• The round is fair & standard.

• If Nth team answers the question, next question goes to (N+1)th team.

• All unmentioned rules are at Quizmaster’s Discretion.

1

• The subject was studied by sea captains for

navigation, cartographers & engineers etc. It

was originally developed to solve geometric

problems relating to a triangle.

Trigonometry

2. • The word _________ first appears in a Latin

manuscript (1673) by Leibnitz, who used it in a non-analytical sense.

• He considered the curve to be an employee and the _________ to be a mathematical job.

• According to chamber’s Cyclopaedia 1779, The

term ________ is used in algebra for an analytical

expression any way compounded of a variable

quantity and of numbers or constants.

Functions

3 • Unlike other fields in mathematics, the theory of

________ was not developed by an individual at one point of time. It is believed that the Pythagoreans had knowledge of ______. While John Wallis was the first to use the term. Major credit is given to Blaise Pascal who put it to use.

• _________ is a restatement of one of Peano’s

axiom relating to deduction of properties of

natural numbers.

Mathematical Induction

4

• Among the Jains, Mahavira (850 AD) is the

first mathematician to have developed the

general formula in this area. The Jainism

ascribed the name Vikalpa to the field.

However the skill has been employed by

Sushruta, Pingala, Bhaskaracharya and others

in their works too.

Combinatorics

• Permutation & combination

5. • Stock traders frequently look to the

"___________ retracement" when predicting future share prices.

• Along with the golden rectangle and golden spiral, the ________ is mentioned in film Pi(1998).

• They are used to find the name of God. In The Da Vinci Code, the numbers are used to unlock a safe. They are also placed out of order in a message to indicate that the message is also out of order.

• What?

Fibonacci Sequence

6. Inappropriate?

• In the movie Gangs of Wasseypur-2, Faizal khan’s

youngest Sibling is called X and the best friend of

X is called Y. Both X and Y are terms encountered

in Geometry.

• What are the term X & Y.

Perpendicular & Tangent

7.

• About which field did Gauss say:

Mathematics if the Queen of Sciences and

____________ is the queen of mathematics.

8. Before 1900, it was thought that _______ was a difficult

entity to be taught to youngsters. But in 1900, John Perry and

others in England started propagating the view that it was

simple and could be taught to school students. F. L. Griffin

pioneered the teaching of _____ by teaching first year

students and it was considered a daring act in those days.

Thanks to the efforts of above gentlemen, today Physics,

chemistry, Biology & Economics students are enjoying the

fruits of ________.

Calculus

9.

• The first Census was held in Egypt over 3

millennia ago and in India, by Chandragupta

Maurya over 2000 years ago. Arthashastra by

Kautilya too mentions a system of Data

collection & calculation based on that data.

What field of study in mathematics is thus

believed to be as old as organised Human

Civilisations?

Statistics

10. Aristotle wrote the first treatise on Logic over 2300

years ago. It formed the basis for study in all fields of

knowledge. Later Leibnitz realised that process of

deductive reasoning could be used to mechanise the

process. In nineteenth century George _______,

founded the modern subject of logic with Augustus

Morgan. A crater on the moon and the subarea of

computational algebra relying on True(1)/False(0)

values of variables named after him.

George Boole

• Boolean Algebra

11.

• Which ancient mathematician dealt with

heights & distances problem and solved the

problem of Heights of Egyptian pyramids and

distance of ships in the sea?

• He studied the properties & proportionality in triangles by construction.

Thales

12.

• What unique thing is present in a temple

devoted to Saraswati at BITS, Pilani?

• Statue of S. Ramanujan engraved in the wall.

13

• “BEGHILOSZ” is the official language of which

device. It is always read upside down and is a

technique of transformation of text. Where have

we seen the language or these alphabets?

BEghILoSZ

14.

• In the world of Mathematics, what is

sometimes referred to as

THE SHAKESPEARE THEOREM?

15. Who about whom? He is a man of good birth and excellent education, endowed by

nature with a phenomenal mathematical faculty. At the age of

twenty-one he wrote a treatise upon the binomial theorem which

has had a European vogue. On the strength of it, he won the

mathematical chair at one of our smaller universities, and had, to

all appearances, a most brilliant career before him. Is he not the

celebrated author of The Dynamics of an Asteroid, a book which

ascends to such rarefied heights of pure mathematics that it is said

that there was no man in the scientific press capable of criticizing

it? Is this a man to traduce?

Sherlock Holmes about Moriarty

16.

• What international competition was started in

2006 in Italy and held in 2008 in Goa, India. It

was held in London this year. Thomas Synder’s

is the leading individual in the winner’s list

while Japan is the leading country in the

competition.

World Sudoku Championship

17. • X is a calculating tool that was in use centuries

before the adoption of the written modern numeral system and is still widely used by merchants, traders and clerks. Originally they were beans or stones which moved in grooves in sand or on tablets of wood, stone, or metal. Around the 5th century, Indian clerks were already finding new ways of recording the contents of the X . Hindu texts used the term śūnya (zero) to indicate the empty column on the X.

The last question of the Quiz

18. “Cubum autem in duos cubos, antquadrato quadratum in duos quadrate quadratos, et generaliter nullam in infinitum, ultra quadratum potestatem in duos ejurdem nominis far est dividere; cujos rei demonstrationem mirabilem sane detexi.

Hane marginis exiguitas non caperet.”

Who and where did that person write this?

Fermat’s Last theorem

End of Quiz

• Scores & applause!

• 5 Anticipated Tie breaker’s / Audience Treat.

• Sudden

• If tie is unbroken, Junior’s get the advantage.

1.

• Al- karaji produced it in Persia in 10th century,

Yang-hui of china discovered it in 13th century

and Tartaglia of Italy worked with it in 16th

century but the world knows it after a 17th

century French mathematician. What are we

talking about?

Pascal’s Triangle

2

• ____ was one of the giants of 18th Century mathematics. He was the student of elder Bernoulli. The list of theorems and methods pioneered by him is immense, and largely outside the scope of an entry-level study.

• He has pioneered the popularisation of following symbols in mathematics:

e, i, f(x), [a,b,c,x,y,z], sin, cos ,tan, & 𝝅

3 • _______ diagrams were introduced in 1880 by

John _____ (1834–1923) in a paper entitled “On the Diagrammatic and Mechanical Representation of Propositions and Reasoning” about the different ways to represent propositions by diagrams.

• In commemoration of the 180th anniversary of his birth, on 4 August 2014, Google replaced its normal logo on global search pages with an interactive and animated Google doodle that incorporated the use of a ____ diagram.

Venn

4.

• Georg Cantor’s Set theory relied on the assumption that a set of all sets exists. Gottlob Frege presented Set theory as a theory of logic. In 1902, which English philosopher showed that the assumption of existence of all sets leads to a contradiction?

• The paradox- “Nothing contains everything” is now named after him.

Bertrand Russel

5. • In recreational mathematics, a __ ___ is an

arrangement of distinct numbers (i.e. each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number. ___ ____ have a long history, dating back to 650 BC in China. At various times they have acquired magical or mythical significance, and have appeared as symbols in works of art.

Magic Square

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