Visualising and representing

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Can you find an efficent way to mix paints in any ratio?

If a sum invested gains 10% each year how long before it has doubled its value?

A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

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

Explore the relationships between different paper sizes.

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Can you work out which spinners were used to generate the frequency charts?

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?