### Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

### 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?

### Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

# What Distance?

##### Age 7 to 11Challenge Level
Here are the distances (as the crow flies) in km from London to various cities in the world:

Abu Dhabi 5480           Barcelona 1139               Cape Town 9680

Delhi 6718                   Edmonton 6805                Florence 1209

Gothenburg 1039         Houston 7812                   Istanbul 2501

Jerusalem 3611             Karachi 6314                  Lauceston 17425

#### Challenge 1

If someone took you the first 1000km how much further would you have to go for each of the twelve journeys?
Rather than actually performing each calculation, could you say which you think will be the most difficult and which will be the easiest, and why?

Now create some similar questions of your own.

#### Challenge 2

If you started at Copenhagen then went to London, which is about 1000 km away each time for all of the journeys shown above, how far would you have travelled in each case?