### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

### Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

# Route Product

##### Stage: 2 Challenge Level:

Neil from Kells Lande Primary School wrote to say:

The route with the largest product is going up from A along the $5$ line, and down along the $2$ line, and then along the $0.5$ line to B, which has a product of $5$.
The route with the smallest product is to go horizontally along the $3$ line from A, then down the first $0.5$ line, along the $1$ line going horizontally, and then up to B along the $0.1$ line, which has a product of $0.15$.

You're right, well done, Neil. Class K's Magic Mathematicians at Charter Primary School told us how they found out the solution:

We worked in a group of four and found out all the routes from A to B, then we did all the sums and worked out all the answers.

Many of you also said that to find the largest and smallest products, it helped to look for the largest and smallest numbers. That's a good strategy, well done.