We hope you will enjoy playing with the problems in this feature. Take time to explore the activities, and then think about the mathematical ideas that emerge. Whether it's the start of your academic year or the beginning of a vacation, we hope there is something to inspire you.

First connect three
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Nicola's jigsaw

Connect three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?


3D treasure hunt
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?