John Price and Matthew Price
In 1733 the French biologist G.L.L. Buffon (1707-1788) proposed an interesting experiment for obtaining estimates of the constant π.
D. R. Green
It is a remarkable fact that quite ordinary families can suddenly throw up quite extraordinary mathematical genius.
J. H. Clarke and A. G. Shannon
In 1742 Goldbach suggested in a letter to Euler that every even integer greater than 4 is the sum of two odd primes.
A cube, as shown below, can be made up from 6 square pyramids.
In the 1983 HSC 4 unit (Unique) paper there were some interesting problems on functions and their graphs.
Q.588 We are given a set of 201 different numbers with the property that the sum of any 100 of them is less than the sum of the remaining 101. Prove that all of the numbers are positive.
Q.563 In the figure, and are the centres of the circular arcs and respectively, and is the centre of the circular arc .
Cyril Isenberg
One of the mathematical results that one encounters early in life is that concerning the shortest path joining two points.
A diagonal polygon is a line joining two non-adjacent vertices. How many vertices has a polygon which has 152 diagonals?
This issue we concentrate on some problems involving trigonometric functions and complex numbers.
Q.600 is a point inside a convex polygon all of whose sides are of equal length.
Q.576 The game of Yellow Pigs is a favorite pastime at Hampshire College's Summer Science Training Program.
David Sharpe
Most of us will have a tree in our homes over Christmas. To the mathematician, a tree is a special type of graph.
N. Ormerod
Mathematicians love formulae. Nothing pleases a mathematician more than to come up witha nice simple formula which solves a problem or summarises a result.
Doug Mackenzie
People came from all over the world to Australia to talk together and learn from each other about how best people from age 4 to infinity can learn mathematics and enjoy using it.
Q.612 From a point inside a cube, line segments are drawn to each of the eight vertices of the cube, forming six pyramids each having as the apex and a face of the cube as the base.
Q.588 We are given a set of 201 different numbers with the property that the sum of any 100 of them is less than the sum of the remaining 101. Prove that all of the numbers are positive.