Quadratic equations

problem
Quadratic patterns

Age

14 to 16

Challenge level

Surprising numerical patterns can be explained using algebra and diagrams...
problem
Bird-brained

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

Exploit the symmetry and turn this quartic into a quadratic.
problem
Centre square

Age

14 to 16

Challenge level

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

Age

16 to 18

Challenge level

Can you solve this problem involving powers and quadratics?
problem
Erratic quadratic

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

14 to 16

Challenge level

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

Age

14 to 16

Challenge level

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

Age

16 to 18

Challenge level

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