You may also like

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}.

Novemberish

a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.

Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

Really Mr. Bond

Age 14 to 16 Challenge Level:

115 2 = (110 x 120) + 25
that is 13225

895 2 = (890 x 900) + 25
that is 801025

Can you explain what is happening and generalise?