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.
problem
Favourite
First connect three
Age
7 to 11
Challenge level
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?
problem
Favourite
Treasure hunt
Age
7 to 14
Challenge level
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
problem
Nicola's jigsaw
Age
11 to 14
Challenge level
Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
problem
Favourite
Connect three
Age
11 to 16
Challenge level
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
problem
Favourite
Iffy logic
Age
14 to 18
Challenge level
Can you rearrange the cards to make a series of correct mathematical statements?
problem
3D treasure hunt
Age
14 to 18
Challenge level
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
list
From Playing to Explaining
The tasks in this feature encourage you to play and explore, then think deeply about the mathematical ideas underneath.