### Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

### Three Squares

What is the greatest number of squares you can make by overlapping three squares?

### A City of Towers

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?

# Start Cube Drilling

##### Age 5 to 7Challenge Level

This activity is all about imagining, like you might when you listen to a story or poem.

There is no need to write or draw anything

BUT talking about it could be good!

Imagine a 3 by 3 by 3 cube hanging in front of you with just the front face facing you.
The cube is made up of 3 x 3 x 3, that is 27, small cubes.
You drill a hole through the four corner cubes, that are facing you, all the way through to the back.

A friend looks down on the cube, from above, and they also drill four holes through their four corner cubes all the way through to the bottom.
You and your friend examine all the 27 small cubes.

QUESTION
How many small cubes will then have holes drilled in them?

If you'd like more of a challenge, try Cube Drilling .