www.pi314.net Boris Gourévitch The world of Pi - V2.57 modif. 13/04/2013 Pi-Day in
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The Small Pi Quiz
"Pi, What's this thing?"

Here are 20 question that I have chosen. A few are trivial (so to allow some to have at least one point?) and all together, they're are not hard, well I hope... I tried to please both math and non-math people. However for the first lot, I advise them to take the big quiz which is worth it's click with 50 brand new and harder questions.
I don't think there's any errors, but all correction are welcomed!
The scoring: 3 points per correct question, 1 point for the answer 'I don't know' (knowing your ignorence is a good thing...) and 0 for incorrect.... Every time, mark the right answer!

1.  : One geometrical definiton of the constant Pi in a circle is

the ratio of the circumference on the radius
the ratio of the circumference on the diameter
the product of the radius and the diameter
the are of a british cake, the Apple Pie
I don't know..!

2.  : Roughly at what period was the discovery of a constant that we now call Pi ?

prehistoric
first civilisation (egyptian, babylonian)
ancient greece and romans
middle ages
I don't know...!

3.  : The famous comparion by Archimedes is: (No calculators allowed!)

3+1/7 < Pi < 3+10/71
3+1/8 < Pi < 3+1/7
3+14/100 < Pi < 3+15/100
3+10/71 < Pi < 3+1/7
I don't know...!

4.  : How did Archimedes die (Around 212 B.C.)?

killed by a roman soldiers when syracuse was taken
of old age
he fell in the sea while defending his town against the romans
of a long exotic illness
I don't know..!

5.  : What was Archimedes' famous method to approximate Pi?

fins a square of the same area of a circle and deduce an approximation for Pi
calculate the perimeters of n-sided polygons inscibed and circumscibed in a circle and make n tend to infinity
calculate the diameter of a circle fixing it's circumference at 1
bake pies and calculate it's circumference
I don't know....!

6.  : What numerical system did the chinese, so talented in the approximation of Pi, since the antiquity?

Base 16
Base 10
Base 60 (like the egyptians)
Base 2
I don't know...!

7.  : In the middle ages, who was one of the first to intoduce in Europe base 10 as a calculation reference and found an approximation of Pi ?

Viete
Cardan
Ferrari
Fibonacci
I don't know..!

8.  : A man stayed famous in Germany as he spend his life calculating 35 decimals of Pi, published in 1615. Was it:
William Shanks
John Machin
Ludolph van Ceulen
Leibniz
I don't know..!

9.  : A revolution in the calculation of the decimals was due to the introduction of the arctan formulae in 1706. To who do we have to thank for this brilliant discovery?

John Machin
Euler
Huygens
James Grégory
I don't know..!

10.  : Euler discovered many formulae on Pi and was gifted with an extraordinart memory. He's scientifical production completly clear and remarquable comprise of a total of:
50 books of 250 pages (or 164 pages per year on average)
50 books of 500 pages (or 328 pages per year on average)
70 books of 700 pages (or 644 pages per year on average)
75 books of 800 pages (or 789 pages per year on average)
I don't know...!

11.  : The transcendance of Pi is linked to the famous ancient problem. Is it:

The trissection of an angle
the square egg
the squaring of a circle
the duplication of a cube
I don't know..!

12.  : And what does the transcendance of Pi signify?

Pi is not the root of a polynomial with integers coefficients
Pi can not be written in the form a/b with integers a and b
When a mathematician research Pi, he transcend their importance.
Pi and e are algebraicly independant
I don't know..!

13.  : In 1897, a law project of a wierd american decided that in the constitute of an anerucab state the exact value for Pi, which varied from Pi=3.1604 to Pi=4. Which state was it?

Ohio
New-York
Indiana
Arizona
I don't know..!

14.  : In 1844, a prodigy human calculator beats the records of know decimals of Pi under the alias Strassnitsky. Was it

William Shanks
John Wrench
Zacharias Dahse
Nikolaï Lobatchevski
I don't know..!

15.  : What value of Pi does the Bible offer?

Pi=4
Pi=3.14
Pi=3.1
Pi=3
I don't know...!

16.  : An Indian genius emerge from his class at the biginning of the 20th century. Self-educated and gifted with a fabulous intuition, was it

Ramanujan
Gandhinoji
Shivasa
I don't know..!

17.  : What was the name of the English mathematician that went to meet this Indian genius and invite him to work with him from 1914 to 1919?

Hardy
Littlewood
Hilbert
James West
I don't know..!

18.  : What was the likely cause of Ramanujan death when he came back to India in 1920 aged 33?
He did too many maths
He was taken in an indian revoltion for independance
He died due to malaria
He fell to a serious lack of vitamines since he was vegetarian
I don't know..!

19.  : New algorithm to calculate Pi were introduced in the 70s and 80s by Brent, Salamin, Garvan, and the Borwein brothers. The exceptional speed of convergence of the first of them for example, the one of Brent/Salamin, doubles the number of exact decimals at each iteration. We call this a ..... convergence:

Logarithmic
Linear
Quartic
I don't know..!

20.  : Who designed for the first time the constant for the letter Pi in 1706?

John Machin
Euler
William Jones
James Grégory
I don't know (scandal !)