The maths Quiz2015-16

Finals

By Adarsh DharmadevanSidharth Suresh

10 C

Rules & RegulationsRules for each round will be given at the start of the respective round

Quiz masters decision will be final

What is called a solidus if written as a diagonal line

or a vinculum if written as a horizontal line

oran obelus for a horizontal line with 2 dots?

(1)

Division symbol

Answer

“How I like a drink alcoholic of course after all these chapters involving Quantum Mechanics” is a mnemonic sentence to learn what?

(2)

Digits of Pi

Answer

In 2014 four people were awarded x .(3)

1. Artur Avila - "for his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle.“

2. Y - "for developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves.“

3. Martin Hairer - "for his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.“

4. Maryam Mirzakhani – “for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.“

I.d X & Y

X= Fields medalY= Manjul Bhargava

Answer

X is a rectangular array of elements (numbers, symbols, or expressions) arranged in rows and columns, that is interpreted and manipulated in certain prescribed ways.I.d X

(4)

Matrix

Answer

X 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 , Y, called “axioms” and "postulates") in order to establish proven theorems. • I.d X & Y

(5)

X= The ElementsY= Euclid

Answer

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”.Who?

(6)

Archimedes

Answer

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

Audience question

Ramanujan

Answer

Alan Turing

Euler

George Boole

Shakuntala Devi

Fermat

John Venn

Visual Round

Video

What is the shape of the path taken by the ball?

Parabola

X is an inventive genius whose expertise in the fields of mathematics, physics, chemistry, and computer science rivals that of Reed Richards, Hank Pym, and Bruce Banner, and his expertise in electrical engineering and mechanical engineering surpasses even theirs. He is regarded as one of the most intelligent characters in the Marvel Universe. He graduated with advanced degrees in physics and engineering at the age of 17 from Massachusetts Institute of Technology (MIT) and further developed his knowledge ranging from artificial intelligence to quantum mechanics as time progressed. Id X and his persona.

Tony Stark- Iron Man

Which mathematical theory is used to analyze such situations?

Game Theory

A Beautiful MindJohn Nash

Schizophrenia

What is the answer to 8’s question?

√-1 is an imaginary number

What is this optical illusion called?

The Penrose stairsCreated by Lionel and Roger Penrose

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Standard S.I units

Military, vernier bevels, circular, opticalbevel, semi-circular are some typesof this instrument.

It is usually square or circular, typicallymade up of transparent plastic, andhas degrees notched on them.

It is used to measure angles in a2-dimensional plane

Protractor

Roses are #FF0000Violets are #0000FF

A colour can be made by mixingRed, Green and Blue, so it is called

the "RGB Color System".The colour is defined by its mix of

Red, Green and Blue, each of which can be in the range:

0-255or

000000-FFFFFF

A colour can be made by mixingRed, Green and Blue, so it is called the

"RGB Color System".The colour is defined by its mix of Red,

Green and Blue, each of which can be in the range:

0-255 (in decimal system)or

000000-FFFFFF (in ‘x’ system)

Hexadecimal color system

It is a flat shape consisting of straight linesthat are joined to form a

closed chain or circuit.

It is basically classified based on its convexity,concavity or self-intersecting, and based onthe number of line segments that join to makethe chain.

Triangle, Quadrilateral, Pentagon and Hexagonare some types of this.

Polygons

It is a quantity that expresses the extent of atwo-dimensional surface in the plane.

There are several well-known formulas forfinding this quantity of simple shapes

such as triangles, rectangles, and circles.

The unit of this quantity is measured inSquare units.

Area

• X developed new ideas in linear algebra (e.g., the first printed proof of the Kronecker-Capelli theorem), probability, and the study of elections (e.g., X 's method) and committees; some of this work was not published until well after his death.

• X worked primarily in the fields of geometry, linear and matrix algebra, mathematical logic, and recreational mathematics, producing nearly a dozen books under his real name but his pen name, which he used when writing, especially children’s books was most famous.

• X is the author of books like Alice in Wonderland, Through the Looking glass etc…… and his real name was Charles Lutwidge Dodgson.

Lewis Caroll

• In mathematics, two quantities are in the X, if their ratio is the same as the ratio of their sum to the larger of the two quantities. X has also been used to analyse the proportions of natural objects as well as man-made systems such as financial markets and is prevalent in architecture, paintings and even in nature.

Mathematicians since Euclid have studied the properties of X , including its appearance in the dimensions of a regular pentagon and in a golden rectangle, which may be cut into a square and a smaller rectangle with the same aspect ratio.

Golden Ratio

• This level of variability suggests that the X isn’t exceptionally rigid, which sucks some of the magic out of the notion that Rob Janoff has ruthlessly machined this perfect shape.

• The simplest place to start anchoring the measures are the circles as the diameter runs from one point in the shape to another which makes it simple to create a circle of that precise size. X is also believed to be created using the Golden Ratio.

Malus domestica is its biological name

• Logo of Apple

An angle of 45 degree is regarded to be the best for launching X’s as the projectiles cover the maximum distance.

• X involves principles of Vector mathematics, Co-ordinate geometry, projectile motion and uses them to launch certain projectiles to a certain distance. X is insanely popular and turned their creators into overnight successes.

• X actually helps your instruction by outlining the X’s with dots that are placed at the same time interval, as well as leaving these trajectory paths visible for the next turn. This allows for an overlap and visual comparison of X trajectories that have different initial angles and velocities. The goal here is to try and knock down the structures and take out the Y’s, who were depicted as they were infamous at that time.

Angry Birds

THANK YOU