Being resourceful

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Find the frequency distribution for ordinary English, and use it to help you crack the code.

There are nasty versions of this dice game but we'll start with the nice ones...

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?