Working systematically

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

Complete the squares - but be warned some are trickier than they look!

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Follow the clues to find the mystery number.