Overlaps
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
This challenge combines addition, multiplication, perseverance and even proof.
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
You'll need to know your number properties to win a game of Statement Snap...
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.
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?