**1.**It is believed that Ancient Egyptians used complex mathematics such as algebra, arithmetic and geometry as far back as 3000 BC.

**2.**It wasn’t until the 16th century that most mathematical symbols were invented. Before this time math equations were written in words, making it very time consuming.

**3.**What comes after a million, billion and trillion? Why a quadrillion, quintillion, sextillion, septillion, octillion and nonillion of course.

**4.**Cutting a cake into 8 pieces is possible with just 3 slices, can you work out how?

**5.**An icosagon is a shape with 20 sides.

**6.**A three dimensional parallelogram is called a parallelepiped.

**7.**Trigonometry is the study of the relationship between the angles of triangles and their sides.

**8.**The smallest ten prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

**9.**The name of the popular search engine ‘Google’ came from a misspelling of the word ‘googol’, which is a very, very large number (the number one followed by one hundred zeros to be exact).

**10.**A ‘googolplex’ is the number 1 followed by a googol zeros, this number is so big that it can’t be written because there isn’t enough room in the universe to fit it in! It would also take a length of time far greater than the age of the universe just to write the numbers.

**11.**The number Pi (the ratio of the circumference to the diameter of a circle) can’t be expressed as a fraction, this means it is an irrational number. When written as a decimal it never repeats and never ends.

**12.**Here is Pi written to 50 decimal places: 3.14159265358979323846264338327950288419716939937510

**13.**If two quantities have a ratio of approximately 1.618, they are said to be in the golden ratio. This ratio has been used throughout history to design aesthetically pleasing art works such as the Parthenon. It also appears in paintings, music, the design of books, and even in nature.

**14.**π=3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 ...

**15.**A sphere has two sides. However, there are one-sided surfaces.

**16.**There are shapes of constant width other than the circle. One can even drill square holes.

**17.**There are just five regular polyhedra

**18.**In a group of 23 people, at least two have the same birthday with the probability greater than 1/2

**19.**Everything you can do with a ruler and a compass you can do with the compass alone

**20.**Among all shapes with the same perimeter a circle has the largest area.

**21.**There are curves that fill a plane without holes

**22.**Much as with people, there are irrational, perfect, complex numbers

**23.**As in philosophy, there are transcendental numbers

**24.**As in the art, there are imaginary and surreal numbers

**25.**A straight line has dimension 1, a plane - 2. Fractals have mostly fractional dimension

**26.**You are wrong if you think Mathematics is not fun

**27.**Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles and removable poles, trees, growth ...

**28.**Mathematics also studies models, shapes, curves, cardinals, similarity, consistency, completeness, space ...

**29.**Among objects of mathematical study are heredity, continuity, jumps, infinity, infinitesimals, paradoxes...

**30.**Last but not the least, Mathematics studies stability, projections and values, values are often absolute but may also be extreme, local or global.

**31.**Trigonometry aside, Mathematics comprises fields like Game Theory, Braids Theory, Knot Theory and more

**32.**One is morally obligated not to do anything impossible

**33.**Some numbers are square, yet others are triangular

**34.**The next sentence is true but you must not believe it

**35.**The previous sentence was false

**36.**12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between

**37.**One can cut a pie into 8 pieces with three movements

**38.**Program=Algorithms+Data Structures

**39.**There is something the dead eat but if the living eat it, they die.

**40.**A clock never showing right time might be preferable to the one showing right time twice a day

**41.**Among all shapes with the same area circle has the shortest perimeter

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