Year 1991 - Volume 27
2020 - Present

Abraham Berman
This article is a revised version of a talk given to the Mathematics Club at the Technion, Israel's Technological University and subsequently printed in Etgar-Gilianot Mathematica, the Israeli version of Parabola.

Abraham Berman
This article is a revised version of a talk given to the Mathematics Club at the Technion, Israel's Technological University and subsequently printed in Etgar-Gilianot Mathematica, the Israeli version of Parabola.

Brian Jeffries
The development of quantum mechanics earlier this century was a joint effort by a number of physicists, of whom E. Schrödinger and W. Heisenberg figure prominently.

Here is a puzzle to end all puzzles.

Q.817 Find all integers x,y such that
x(3y−5)=y2+1 .

Carol Moellers
I know what I am - I'm an actuary. But how many other people know what an actuary is?

James Franklin
It all started (as we keep saying) with the Greeks. In this case with a certain Eubulides, philosopher-about-town in Athens of the 4th century BC.

Since 15 across is a 2 digit cube, and an integer, it is either 27 or 64. Assume that it is 64.

Senior Division
First Prize:

Bein, Kendall James Ruse Agricultural High School

Alice's and Bert's ages combined total 11016 days.

Q.840 (i) Let α,β be two distinct solutions of
x3−x2−x+c=0.
Simplify α2β+αβ2−αβ .

Q.829 (i) let c be any integer. Show that the remainder when c2 is divide by 4 cannot be either 2 or 3 .

John Blatt
Early in the 17th century, Johannes Kepler established, from actual observations of the position of planets in the sky, three laws of planetary motion.

Peter Brown
In experimental science in past eras data was collected from an experiment and some relationship between quantities in the form of equations was sought.

Q.852 If a1,a2,⋯an are positive real numbers and a1+a2+⋯+an=1 prove that
n∑k=1 (ak+1/ak)2≤(n2+1)2/n.

Q.840 (i) Let α,β be two distinct solutions of
x3−x2−x+c=0.
Simplify α2β+αβ2−αβ .