### 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?

# Ordering Journeys

## What Distance?

Here are the distances (as the crow flies) in km from London to 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

Sort out these journeys in order according to the distances involved.

### Why do this problem?

This challenge gives pupils experience of comparing and ordering large numbers.

### Possible approach

Try to say as little as possible when introducing this task. When the group or class has finished it would be good to discuss the different approaches that pupils used.

### Key questions

Tell me what you first thought would be a good way of doing this.
Tell me about any difficulties you encountered when solving this challenge.

### Possible extension

Although unrelated to the challenge you might like to make use of these maps to discuss why the 'straight' lines of the 'as the crow flies' are drawn as various curves.

### Possible support

Some pupils may need help with focusing on each particular little map and the names that may be unusual for them. Since it's about addition and subtraction there may also be a need for some apparatus.