We hope you will enjoy playing with the problems in this feature. Take time to explore and think deeply about the mathematical ideas. Whether it's the start of your academic year or the beginning of a holiday, we hope there is something to inspire you.
![100 Square Jigsaw](/sites/default/files/styles/medium/public/thumbnails/content-id-5572-icon.png?itok=ISTw0b-4)
![Times of Day](/sites/default/files/styles/medium/public/thumbnails/content-id-6609-icon.jpg?itok=P5JQfa2k)
problem
Times of day
These pictures show some different activities that you may get up to during a day. What order would you do them in?
![I Like ...](/sites/default/files/styles/medium/public/thumbnails/content-id-6962-icon.gif?itok=iN64Angn)
problem
I like ...
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
![First Connect Three](/sites/default/files/styles/medium/public/thumbnails/content-id-5865-icon.png?itok=04WHK5zo)
problem
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](/sites/default/files/styles/medium/public/thumbnails/content-id-6288-icon.jpg?itok=2AbCpMXX)
problem
Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
![Calendar Sorting](/sites/default/files/styles/medium/public/thumbnails/content-id-10322-icon.png?itok=Us6ovtyg)
![Cubies](/sites/default/files/styles/medium/public/thumbnails/content-id-13872-icon.png?itok=jLXrbGcS)
problem
Cubies
The scientists need your help to work out how many Cubies live on a small island! Use the cards to gather all the information you need.
![Playing with Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-8809-icon.png?itok=OVSva0do)
![Playing with 2D Shape](/sites/default/files/styles/medium/public/thumbnails/content-id-8878-icon.png?itok=Lw1hJbBM)
![Playing with Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-8870-icon.png?itok=KamVzmk0)
![Playing with 2D Shape](/sites/default/files/styles/medium/public/thumbnails/content-id-8883-icon.png?itok=LcEiCCd1)