Year 1977- Volume 13
2020 - Present

Michael D. Hirshhorn

In 1976 for just the second time, the University of New South Wales held a Summer Science School, and for the first time Mathematics was involved.

John Loxton

What should we understand by a real number? Kronecker, a German Mathematician who flourished at the end of the last century, is supposed to have said: "God made the natural numbers: all else is the work of man."

The following "real life" problem was given to me by a student at North Sydney Tech. College (where I teach) only a few weeks ago, and it might be suitable for Parabola.

Take-all is a game for two people.

In the last issue of Parabola, you were introduced to palindromic numbers: positive integers which read the same backwards as forwards (such as 11, 131 and 4334).

Q.333 Two trains A and B are travelling in opposite directions on a line with a single track and wich to pass with the help of a siding (see figure).

Q.321 The following factorisations of numbers are true:

12=3.4;1122=34.33;111222=334.333;1111222=334.3333

B. J. Joyce

Everyone knows how to find examples of sets of three numbers which add up to the same number, such as

1+6+8=2+3+10

Philip Bos

A projectile is a body projected by an external force which continues in motion for a certain time period under its own inertia.

My reason for writing is to find a method for getting the exact digits of $\pi$$\pi$.

Michael Hirshhorn

The Race-Track Game:

This is a game for two or more players, played on graph paper.

Amidst the ruins of Atlantis was found the following fragment

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

Alan Fekete

A recent letter to the magazine "New Scientist" drew attention to the following unexpected fact: if two bowlers perform equally well in one innings, but differently in the next, their overall performances may still be equal!

Gavin Brown

Here is a very pretty argument for finding the area of a circle:

Philip Stott

In answer to my article in Vol. 12 No 3, the editor has asked if it is always possible to select numbers A and B to satisfy the conditions of the formula.

So far, we have received only one contribution concerning palindromic numbers.

I would like to relate a paradox I have discovered concerning quiz programmes similar to "Jepoardy".

P. Stott

In a small outback town, the local drunk, Mr Terry Bull, has been found murdered.

Generally speaking, the performance of the entrants was disappointing.

Q.357 Chess-players from two schools competed. Each player played one game from every other player.

Q.333 Two trains A and B are travelling in opposite directions on a line with a single track and wich to pass with the help of a siding (see figure).