Explaining, convincing and proving

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Buzzy Bee was building a honeycomb. She decorated it with counting patterns in all directions. What might the missing numbers be?

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

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

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

These pictures show some different activities that you may get up to during a day. What order would you do them in?

Can you work as a group to match these numbers?

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

One day, five small animals in my garden had a sports day. Who do you think won each race?