Visualising and representing

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

A task which depends on members of the group noticing the needs of others and responding.

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

An activity centred around observations of dots and how we visualise number arrangement patterns.