Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

What is the greatest number of squares you can make by overlapping three squares?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

We were very excited to find out about your ways of going about this investigation which we hadn't thought of before.