# YMA Practice

These are are few activities which you may find useful as a starter, in order to see the kinds of challenges that you may be asked to do as part of the Explore Learning "Young Mathematicians' Award".

They require good thinking and problem-solving skills - more than just knowledge of different areas of mathematics.

So, enjoy and give yourself plenty of time.

When you have found a solution then it's good to ask yourself "I wonder what would happen if I . . . .?" Change just one of the rules slightly and re-visit the problem. To think as a mathematician you would then compare the first solution(s) with the second solution(s).

### Chocolate

##### Stage: 2 and 3 Challenge Level:

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?

### Tiles on a Patio

##### Stage: 2 Challenge Level:

How many ways can you find of tiling the square patio, using square tiles of different sizes?

### Newspapers

##### Stage: 2 Challenge Level:

When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?

### Ice Creamlive

##### Stage: 2 Challenge Level:

You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.

### More and More Buckets

##### Stage: 2 Challenge Level:

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?