Describing patterns and sequences

At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

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?

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?

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

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

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

How do you know if your set of dominoes is complete?