### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

If you had 36 cubes, what different cuboids could you make?

### Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

# The Money Maze

## The Money Maze

Go through the maze, collecting and losing your money as you go. You may not go through any cell more than once, and can only go into a cell through a gap, for example, you may not go from $5$ to $6$, or from $7$ to $3$.

Which route gives you the highest return? How much is it?
Which route gives you the lowest return? How much is it?

### Why do this problem?

This problem gives learners the opportunity to practice addition, subtraction, multiplication and division of money, while it includes calculating with percentage. It is also a good context for developing a recording system and a systematic approach.

### Possible approach

Pupils will need to develop their own recording system to show which routes they have tried. Encourage them to discuss how they know they have tried the different options so that they begin to see the need for a systematic approach.

This sheet has two copies of the maze on it.

### Key questions

Have you thought of a way of recording the routes you have found?
How do you know that you have tried all the different ways through the maze?
How many ways are there to go from the first square?
Which one will you try first?
Are you sure there is a gap to go through between those two squares?

### Possible extension

You could alter the maze adding a $50$% decrease and/or a further percentage increase or decrease, thus increasing the role of percentages in the problem.

### Possible support

Suggest trying to work out at least one way of going through the maze, then writing down the required calculations.