Volume 17
, Issue 2

1981

Suppose that our Government has decided to improve the capabilities of the Royal Australian Navy. It has resolved to buy one new destroyer for each 1000km of the Australian coast-line. The only problem left for the Navy is to measure the length of the coast-line.

The differential and integral Calculus has important applications in physics and/or mechanics.

Summing series of the form $u_1 + u_2 + \cdots u_N$ is a common problem in mathematics.

It is well establihed fact that it is impossible to trisect a general angle using Euclidean tools, i.e. compass and straightedge only.

This Cross-Numbers was devised by Andrew Jenkins, Year 9, North Sydney Boys High School.

(The cube problem) Each face of a cube is marked with a square, a triangle or a line segment.

Q.491 Find a four digit number which becomes nine times as large if the order of digits is reversed.

Q.467 In a plane are 127 toothed cog-wheels, numbered $(1),(2),\cdots ,(127)$. The teeth of wheel $(1)$ engage those of wheel $(2)$, and similarly $(2)$ is engaged with $(3)$,