Mathematical Concepts
History
Calculation
Miscellaneous
For Grade 11 Only
100
What is the ratio between circumference of a circle and diameter called?
pi
100
Who was the first person to calculate pi?
Archimedes of Syracuse and gave its first approximations to 3.1605
100
22, 42, 64, 88, x
114
100
Which famous scientist birthday comes on pi day?
Albert Einstein
100
Why is pi considered an irrational number?
1) Non-terminating digits
2) Cannot be converted into p/q form
200
What would be the median for the following data: 3, 21, 32, 9, 28, 7, 41.
21
200
Albert Einstein used pi in which famous research work?
General Theory of Relativity and Special Theory of Relativity, in calculating its field equations
200
How much interest will Rs. 12,000 earn in 8 months at an annual rate of interest of 8%? (You can ask for the formulae if you don't know)
Rs. 640
200
Why is pi day celebrated on March 14?
It represents the first three digits of pi (3.14)
200
A circular pizza has a radius of 12 inches. If you slice the pizza into 8 equal pieces, what is the area of one slice?
18 pi inches2
300
If you roll a fair octahedral dice, what is the probability of it landing on a non-prime number?
1/2 or 0.5
300
Which swiss mathematician popularized the use of greek letter pi to represent the ratio of the circumference of a circle to its diameter, in 1737?
Leonhard Euler
300
If p/q = ⅖, then find the value of the expression (7p-2q)/(7p+3q)
4/29
p = 2
q = 5
300
pi is what type of number? (Hint: Number System)
Irrational Number or Transcendental Number
300
Besides circles, where else is pi used in the real world? Give specific examples. (Hint: Think of Physics, Engineering, Computer Sciences, Nature and Cosmos)
For Physics: Wave Mechanics, Oscillations, Einstein’s field equations.
For Engineering: Structural Analysis, Signal Processing (Fourier Transforms).
For Computer Sciences: Circle Algorithms, Cryptography, Data Compression.
For Nature/Biology: DNA pattern (Helix structure).
For Cosmos: Planetary Orbits, Orbit Shape and Distance.
400
What is the value of till 7 decimal places?
3.1415927
400
Which well known Indian mathematician provided a remarkably accurate estimation of , before it was widely understood in Europe?
Aryabhatta (476 CE)
400
A man is 30 years older than his son. In two years, his age will be 4 times the age of his son. What is the present age of his son?
8 years
400
What famous movie is named on pi?
Life of pi (2012 film)
400
What is the significance of the Euler's formula and why is it often considered as the "golden" equation?
1) It connects various fields of Mathematics, such as Algebra and Geometry.
2) It expresses complex exponentials in terms of trigonometric functions
3) It has countless real-life applications such as Signal Processing, Quantum Mechanics and Engineering
500
Why is pi considered an important number in mathematics?
Because of its fundamental role in understanding circles and its widespread applications across various fields.
500
Which Indian mathematician was the first mathematician to develop a method of solving quadratic equations, in the 8th-9th century?
Śrīdhara Ācārya
500
A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer was showing East, started showing South. One traveller went in the wrong direction thinking it to be West. In what direction actually he was travelling?
South
500
On pi day, people usually enjoy what kind of foods? Name three. (Hint: Shape of the food)
Circular foods like Pizza, Cake, Cookies and more
500
Why does pi show up in trigonometric functions, such as the unit circle, and how is it related to radians?
For calculating the circumference of a circle, the formula is C=pi(2r).
However, in the unit circle, the circumference is 2pi as the radius of the circle is 1. So, travelling once around a circle will be of the distance 2pi, and travelling half around the circle will be pi.
There are 2 pi radians in a full circle (equal to 360 degrees). pi radians equals 180 degrees. pi/2 radians equals 90 degrees.