Volume 19
, Issue 2


The game Scissors, Paper and Rock (SPR) has a long history. One famous contest took place in the pages of You Only Live Twice by Ian Fleming and resulted in our hero James Bond defeating the inscrutable Tiger Tanka.

A while ago we received a short article from one of our readers, Tim Bedding about some features of this celebrated ratio.

6 positive whole numbers $A,B,C,D,E$ and $F$ satisfy $A+B = 29, C+D =45,E+F=65,AC=36,BE=312$.Find $A,B,C,D,E$ and $F$. Show there is only one solution to the equations.

This term we will contentrate on complex numbers, and solve problems from the 1981 and 1982 4-unit papers.

Q.563 In the figure, $X$ and $Y$ are the centres of the circular arcs $AB$ and $AC$ respectively, and $A$ is the centre of the circular arc $BC$.

Q.539 From the set of whole numbers $\left\{ 0,1,2,\ldots , 999999999\right\}$ two are selected at random. What is the probability that they differ by a multiple of 10000?