Quadratic equations

Surprising numerical patterns can be explained using algebra and diagrams...

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

Exploit the symmetry and turn this quartic into a quadratic.

What does Pythagoras' Theorem tell you about the radius of these circles?

Can you solve this problem involving powers and quadratics?

Can you find a quadratic equation which passes close to these points?

Can you find the maximum value of the curve defined by this expression?

What is the same and what is different about these circle questions? What connections can you make?

How good are you at finding the formula for a number pattern ?

Find the equation from which to calculate the resistance of an infinite network of resistances.