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Broad Topics > Advanced Algebra > Relations

Squareness

Stage: 5 Challenge Level:

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

Polynomial Relations

Stage: 5 Challenge 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.

Sheep in Wolf's Clothing

Stage: 5 Challenge Level:

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

Spot the Difference

Stage: 5 Short Challenge Level:

If you plot these graphs they may look the same, but are they?

Winning Team

Stage: 3 Challenge Level:

Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?

More Polynomial Equations

Stage: 5 Challenge Level:

Find relationships between the polynomials a, b and c which are polynomials in n giving the sums of the first n natural numbers, squares and cubes respectively.