John Mack
Newspaper readers may have noticed earlier this year, buried away on an inside page, a small item announcing that someone had recently found, in a Dutch bookshop under a pile of rubbish, an old book which happened to be the only known surviving copy of Gerandus Mercator's original World Map.
When I think of Euclid even now I have to wipe my sweaty brow.
This column will be devoted to comment and discussion on some of the questions from recent Higher School Certificate examination papers.
R. H. Crozier
The young R.A. Fisher is said to have visited a local museum and come across a labelled skeleton of a fish.
Scott Driver
In Parabola, Volume 15, Number 2, Paul Rider described a modified Pascal's triangle shown above.
Read the article in PDF
This rather tricky problem appeared in Volume 15, Number 1
Editorial note: Question 454 is incorrectly labeled as 464
Q.441 Prove that the number 111⋯11 , consisting of 91 ones, is a composite number.
Q.417 Let and be integers. Show that is a multiple of 7 if and only if is also.
M. D. Temperley
Meleda, or Chinese rings, is a game of Chinese origin which, so the story goes, was invented by the soldier hero Hung Ming (181-234 A.D.) who gave it to his wife when he went to war.
B. Musidlak
Counting is not always as simple as 1,2,3,⋯, but, as I hope to show in these articles, it can be a lot more interesting.
A. Johnston
The harmonic series:
Is a degree in mathematics any use? I mathematics at university interesting? Is it fun?
Algernon announced that on his birthday this year his age would be equal to the sum of the digits of the year in which he was born. When was he born?
We shall consider some problems involving the roots and , say, of the cubic equation
Dear Sir, Do you think that there would be two people in your class whose birthdays fall on the same day and month?
Q.455 The rule for leap years runs as follows: A year which is divisible by 4 is a leap year except that years which are divisible by 100 are not leap years unless they are divisible by 400.
Q.429 Let be a positive integer. Prove that the fraction $(a^3 + 2a)/a^4 + 3a^2 + 1) is in its lowest terms.
B. Musidlak
Naturally, anyone interested in mathematics should be familiar with bridge, so we shall turn our attention to calculating the probabilities of various events at the bridge table.
The present treatise on Arithmetic, though written so as to be as far as possible complete in itself, is intended primarily for those who have already received some grounding in the subject.
B. Preston
A circle in two dimensions is easily described by its familiar equation
Nothing unites the English like war.
Nothing divides them like Picasso.
Problems in this topic have very little formal mathematical content, but clear logical thought is necessary, and it is essential to read the question accurately. Some nice examples are:
Readers were asked to turn their calculators to literary ends and to fill the numbers supplied by Messrs H.P. and T.I with previously unsuspected meanings.
We present below the second of our series of interviews with mathematics graduates from the University of New South Wales.
Q.441 Prove that the number 111⋯11, consisting of 91 ones, is a composite number.