## Latest Problems

Find the connection between the constructed length and the original rectangle.

Prove that $e$ is irrational.

Find the radius of the circle inscribed inside the isosceles triangle.

Show how the values 1, 2, 4, 8, 16, 32, 64, 128, and 256 can be placed in a 3x3 square grid so that the product of each row, column, and diagonal gives the same value.

Prove that the roots of the polynomial, $x$

^{n}+ $c$_{n-1}$x$^{n-1}+ ... + $c$_{2}$x$^{2}+ $c$_{1}$x$ + $c$_{0}= 0, are irrational or integer.Prove that the minimum number of moves to completely reverse the positions of the coloured counters can never be square.

Which fits better... a round plug in a square hole or a square plug in a round hole?

Prove that π is irrational.

Find the side length of the square inscribed inside the right angled triangle.

Prove that cos($x$) is algebraic if $x$ is a rational multiple of Pi.

By considering rotations and reflections to be equivalent, prove that there exists only one 3x3 magic square.

What fraction of the large red circle do the infinite set of smaller circles represent?

Find the radius of the circle inscribed inside the right angled triangle.

Prove that for all composite values of $n$ > 4, F

_{n}is composite.Can you determine the point where the pole snapped?

Where must the ball strike inside the square to return its point of origin?

By considering all the nets of a unit cube, which net has the greatest perimeter?

Prove that the two smaller angles in the triangle are exactly 15

^{o}and 75^{o}respectively.Find the minimum number of socks which must be taken from the drawers to be certain of finding five matching pairs.

Find the smallest number made up of the digits 1 through 9 which is divisible by 99.