Being resourceful

Play around with sets of five numbers and see what you can discover about different types of average...

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Use properties of numbers to work out whether you can satisfy all these statements at the same time.

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...