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Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

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.

Can you place the blocks so that you see the reflection in the picture?

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Can you work out how to win this game of Nim? Does it matter if you go first or second?

How many questions do you need to identify my quadrilateral?

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Can you find any two-digit numbers that satisfy all of these statements?

Which numbers can you put into pairs that add to 10? Which ones do you have to leave out?