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In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

### 1 Step 2 Step

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

# Picturing the World

##### Stage: 3 and 4 Challenge Level:

If the approximately 7 billion people in the world were represented by a village of just 100 people, how do we work out what 1 villager represents?

There are lots of different questions you could explore about your country:
How many people are there in each age group?
How are people distributed geographically? This could be urban/rural, or based on different geographic regions in your country.
How is income distributed in your country?