Volume 14
, Issue 1


Consider the quadratic $x^2+x+1$. By substituting $x=1,2,3,\cdots$ we can form a sequence $$ x^2+x+1 : 3, 7, 13, 21, 31, \cdots $$

Regular patterns and figures have always played an important part in the civilizations of mankind.


(a) A prime number

Once again, in early December 1977 the University of N.S.W. held its Summer Science School.

While exploring the peculiarities of circles we come upon an interesting phenomenon known as Simon's Line. This is formed in the following way:

In the article by Alan Fekete on Simpson's Paradox in Vol. 13 No. 3, there is apparently an error.

[Enter 7718, 808 and 5538 in heated conversation]

I have, since the publication of Vol. 13 No. 3, found another solution to problem 344.

Q.369 Find a five digit number which when divided by 4 yields another 5 digit number using the same 5 digits but in the opposite order.

Q.345 During a trial, three different witnesses $A,B$ and $C$ were called one after the other and asked the same questions.