Visualising and representing

Are these statements always true, sometimes true or never true?

Watch this animation. What do you see? Can you explain why this happens?

There are six numbers written in five different scripts. Can you sort out which is which?

Can you discover the value of the circle in each problem?

Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Can you replace the letters with numbers? Is there only one solution in each case?

A Deca Tree has 10 trunks, and on each trunk are 10 branches, and on each branch are 10 twigs...

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.