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# Jumping Squares

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Age 5 to 7

Challenge Level

*Jumping Squares printable sheet*

This activity can be done alone or with a friend. The aim is to get to the end of the track in as few jumps as possible.

Here is the track of squares that you will be jumping on:

For accessibility, clicking on the 'show' button below will show a description of this image.

The track is a line of squares linked by one-way arrows from the start to the end. Each square contains two numbers.

Start: 3, 1

Arrow

4, 1

Arrow

0, 2

Arrow

3, 1

Arrow

2, 3

Arrow

0, 1

Arrow

1, 0

Arrow

4, 3

Arrow

1, 0

Arrow

2, 4

Arrow

3, 2

Arrow

2, 0

Arrow

2, 1

Arrow

0, 0

Arrow

4, 0

Arrow

3, 3

Arrow

3, 0

Arrow

0, 1

Arrow

1, 4

Arrow

0, 0

Arrow

3, 1

Arrow

2, 1

Arrow

2, 2

Arrow

2, 3

Arrow

1, 0

Arrow

4, 1

Arrow

2, 3

Arrow

3, 1

Arrow

2, 4

Arrow

End

The numbers on each square are the numbers of squares that you can jump forwards or backwards when you are on that square. On the 'Start' square, you can jump forwards 1 or 3 squares for your first jump. If you land on a square with 1 and 4 on it, you can jump forwards or backwards either 1 or 4 squares.

If the square has 0 and 0 on it, you can't jump at all. You have to go right back to the beginning and start again!

Have a few tries at getting from the 'Start' square to the 'End' square by making these jumps. How could you count the number of jumps you are making?

What is the least number of jumps you can make to get round the whole track? Which squares do you need to land on?

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

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?