Year 1985- Volume 21
2020 - Present

Hazel Perfect

These are not tall stories. All the assertions are true, though you may think some of them are very hard to believe at first.

Ronnie Braverman

If you ask anyone about the theory of relativity, there is a very high probability that they could tell you the following:

A. T. Daoud

Proof is an argument based on logic which establishes whether a given statement is true or false.

This issue considers some problems concerning applications of mathematics.

Q.624 Three motorists $A,B$, and $C$ often travel on a certain highway, and each motorist always travels at a constant speed.

Q.600 $P$ is a point inside a convex polygon all of whose sides are of equal length.

John Graham

Have you ever been asked to determine the next term in a series, given only the previous terms?

William G. Taylor

There have been many methods proposed for finding square roots. The easiest is to use the button on the calculator, but this has limited accuracy and is difficult to represent as a rational number.

Jim Franklin

There is one very old anecdote about probability that goes as follows

Find all 4 digit numbers, $abcd$, such that when the second digit $\left(b\right)$ is deleted the remaining 3 digit number $acd$ is a factor of the original number.

Editorial note: the question numbers are 100 less than they should be.

Q.636 In the play off match for the chess club championship between the three players who had finished level after the preliminary tournament, each pair played the same number of games.

Q.612 From a point $P$ inside a cube, line segments are drawn to each of the eight vertices of the cube, forming six pyramids each having $P$ as the apex and a face of the cube as the base.

John Loxton

Here is the remarkable story of Aristotle's wheel. Consider a circular wheel with a circular hubcap having the same centre as the wheel.

The 1985 International Mathematical Olympiad held in Finland was a most successful one for Australian Participants.

We live and function in a three-dimensional space all through our existence, weare surrounded almost exclusively by three dimensional objects,

Jim Franklin

Everybody learns some set theory early in high school.

This issue we first look at the problems on inequalities:

Q.624 Three motorists $A,B$, and $C$ often travel on a certain highway, and each motorist always travels at a constant speed.

Q.648 Prove that no perfect square except 0 is the product of 6 consecutive integers.