Year 1992 - Volume 28

David Angell
You have (let's imagine) five maths lessons per week, one each day.

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George Szekeres
Suppose that n players are engaged in a round robin tennis tournament, that is each player plays each of the other n−1 players exactly once.

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Bill McKee
Interpolation is the process of putting a curve of some sort through a series of points.

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Peter Brown
There are few problems in 'elementary' mathematics which have not been solved.

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David Tacon
The roots of number theory can be traced back over 2,500 years to the time of the Pythagoreans.

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Find all positive numbers x which are such that
(1+1/nx)−1>1−(1/n) for every positive integer n .

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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.

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Q.861 each of the numbers in a list
x1,x2,x3,⋯,xn,⋯
is a positive integer written as usual in decimal notation.

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Ray Popple
When a honeybee constructs its combs to store its honey, it does so in such a way as to store the maximum amount of honey using the minimum amount of wax.

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Milan Pahor and Tony van Ravenstein
Without any doubt π is the most famous of all real numbers, it appears throughout all branches of mathematics.

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Bill McLean
The exponential function x↦ex and its inverse, the (natural) logarithm function x↦ln(x)(x>0) , are amongst the most important in mathematics, arising as they do in many different applications.

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Esther Szekeres A triangle is one of the simplest configurations we can draw in the plane.

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David Tacon
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.

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Peter Brown
The last question on the Westpac Mathematics Competition, Senior Division, 1989 reads:

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Michael Cowling
Before asking whether mathematics is useful, we need to know what "mathematics" means.

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On January 13th of this year TIME magazine reported that Grace Hooper had died in Arlington, Virginia at the age of 85 years.

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Q.872 A flea on the number line jumps from the point a to the point b given by a+(1/b)=1 .

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Q.861 each of the numbers in a list x1,x2,x3,⋯,xn,⋯ is a positive integer written as usual in decimal notation.

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