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
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?
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?
Charlie is hoping to retire soon. When he does, he would like to get away from it all and move to a country where he could have a lot of space and not feel overcrowded.
Alison has different plans for her retirement. She wants to live somewhere where there will be plenty of activity and she can make lots of new friends.
Here are some population data for eight countries they could move to.
From these data, what advice would you give Charlie and Alison about where each should settle?
"Hang on, this only tells me how many people live in the country altogether! I need to know how big each country is too!"
Here is the total land area for each country.
Would you change your advice to Charlie and Alison, based on these data?
Below are some more data that Charlie and Alison have collected about the eight countries (you can download it in a spreadsheet here).
Analyse the data, and send us your choice of country for each of them, together with a clear explanation of why you think the data support your choices.
What other data might it be useful for Charlie and Alison to have, in order to make their decision?