You may also like

problem icon

DOTS Division

Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.

problem icon

Common Divisor

Find the largest integer which divides every member of the following sequence: 1^5-1, 2^5-2, 3^5-3, ... n^5-n.

problem icon

Different by One

Can you make lines of Cuisenaire rods that differ by 1?

Hypotenuse Lattice Points

Age 14 to 16 Challenge Level:
First test what happens when m and n are co-prime (have no common factor).