article
Telescoping functions
Take a complicated fraction with the product of five quartics top
and bottom and reduce this to a whole number. This is a numerical
example involving some clever algebra.
Creating and manipulating expressions and formulae
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articleMagic squares for special occasions
This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line. -
articleReaction rates!
Fancy learning a bit more about rates of reaction, but don't know where to look? Come inside and find out more... -
problemAbsurdity again
Age16 to 18Challenge level
What is the value of the integers a and b where sqrt(8-4sqrt3) = sqrt a - sqrt b? -
problemOld nuts
Age16 to 18Challenge level
In turn 4 people throw away three nuts from a pile and hide a quarter of the remainder finally leaving a multiple of 4 nuts. How many nuts were at the start? -
problemIncircles
Age16 to 18Challenge level
The incircles of 3, 4, 5 and of 5, 12, 13 right angled triangles have radii 1 and 2 units respectively. What about triangles with an inradius of 3, 4 or 5 or ...? -
problemPolynomial relations
Age16 to 18Challenge level
Given any two polynomials in a single variable it is always possible to eliminate the variable and obtain a formula showing the relationship between the two polynomials. Try this one. -
problemHow many solutions?
Age16 to 18Challenge level
Find all the solutions to the this equation. -
problemThree ways
Age16 to 18Challenge level
If x + y = -1 find the largest value of xy by coordinate geometry, by calculus and by algebra.