### Football Crazy Hockey Mad

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.

### Add 3 Dice

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?

# Which List Is Which?

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

Neeraj from Wilson's School noticed that sets A, D and E had more values greater than 70 than sets B, C and E.

Elliot from Wilson's School used the range:

I used the ranges of each set of data, to work out which sets go together. Alison's temperatures were more likely to have a greater range, whereas Charlie's data, on the weights of teenagers, is likely to have a small range. Therefore, I concluded that A, D and E, which have the largest ranges, were the temperatures, while B, C and F were the teenager's weights.

Randolph and Ethan, both from the USA, and Jelle from the Netherlands used another measure of spread, the standard deviation of each set:

The standard deviations for each set (to 3 decimal places) are:
A: 10.826
B: 4.527
C: 5.756
D: 9.520
E: 10.742
F: 5.229

ADE belongs to Alison
BCF belongs to Charlie

Finally, here is Niharika's solution which uses several different approaches.