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?

The value of the circle changes in each of the following problems. Can you discover its value 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?

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

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.