### 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?

# Cover the Camel

##### Stage: 1 Challenge Level:

You sent in a range of different ways of solving this problem, but there were some common themes. Nina wrote:

To cover the camel with the tiles I first filled in all the obvious positions with the tiles. Some places on the camel, like the nose, all had only one tile configuration possible to fill it in properly and leave joined blocks remaining for another tile. Then, all the pieces kind of fit together like a puzzle and all you had to do was rotate them around and put them in the obvious positions.

Here is Nina's completed solution:

Jazzy described how she filled the camel in:

I started with the feet and I fitted the two different pieces in after I rotated both of them.
Then I used the piece on the right to fill in the head and placed a rotated left piece beneath the head piece.
On the far right of the hump I used a left piece and fitted another left piece on the very far right beneath the hump piece.
Then I rotated three right pieces and placed them one on top of the other over the foot on the left until it filled the rest of the hump.
Finally I used one of the pieces on the left to fill in the last gap.

Sophie sent us a picture of her completed camel which is filled in a different way compared with Nina's:

Well done all of you.