Lynne McClure gives an overview of the ACME report 'Raising the bar: developing able young mathematicians', published in December 2012.
These pictures show squares split into halves. Can you find other ways?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Investigate the number of faces you can see when you arrange three cubes in different ways.
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that could come up?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.