Being resourceful

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

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

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Can you put these shapes in order of size? Start with the smallest.

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Have a look at this table of how children travel to school. How does it compare with children in your class?

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.