Your Solutions - Stage 4 & 5

Wipeout

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you do a little mathematical detective work to figure out which number has been wiped out?

Quadrilaterals in a Square

Stage: 4 Challenge Level: Challenge Level:1

What's special about the area of quadrilaterals drawn in a square?

Garden Shed

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you minimise the amount of wood needed to build the roof of my garden shed?

Square Number Surprises

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

There are unexpected discoveries to be made about square numbers...

Growing Surprises

Stage: 4 Challenge Level: Challenge Level:1

Can you find the connections between linear and quadratic patterns?

Approaching Asymptotes

Stage: 5

Can you describe what an asymptote is? This resource includes a list of statements about asymptotes and a collection of graphs, some of which have asymptotes. Use the graphs to help you decide whether you agree with the statements about asymptotes.

Summing to One

Stage: 5 Challenge Level: Challenge Level:1

This problem is a nice introduction that will give you a feeling for how logs work and what that button on your calculator might be doing.

Proving the Laws of Logarithms

Stage: 5 Challenge Level: Challenge Level:1

Here you have an opportunity to explore the proofs of the laws of logarithms.

Can You Find ... Cubic Edition

Stage: 5 Challenge Level: Challenge Level:1

Can you find cubic functions which satisfy each condition?

Can You Find ... Asymptote Edition

Stage: 5 Challenge Level: Challenge Level:1

Given a sketch of a curve with asymptotes, can you find an appropriate function?

A Tangent Is ...

Stage: 5 Challenge Level: Challenge Level:1

What do we REALLY mean when we talk about a tangent to a curve?

Transformation ... or Not?

Stage: 5 Challenge Level: Challenge Level:1

This graph looks like a transformation of a familiar function...

Quadrature of the Lunes

Stage: 5 Challenge Level: Challenge Level:1

A lune is the area left when part of a circle is cut off by another circle. Can you work out the area?