Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

What patterns can you make with a set of dominoes?

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Which comes next in each pattern of dominoes?

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?

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Investigate what happens when you add house numbers along a street in different ways.

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?