Describing patterns and sequences

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

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

How many squares are needed to continue this pattern?

Knights always tell the truth. Knaves always lie. Can you catch these knights and knaves out?

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.

Weekly Problem 38 - 2009
This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

Can you find a way to identify times tables after they have been shifted up or down?

Watch the video to see how Charlie works out the sum. Can you adapt his method?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.