Being resourceful

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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