Copyright © University of Cambridge. All rights reserved.

## 'Jumping Squares' printed from http://nrich.maths.org/

In this problem it is not the squares that jump, you do the jumping!

It is not a race, but a game of skill. You have to be able to look ahead.

The idea is to go round the track in as few jumps as possible, keeping to the rules.

The first line of the track looks like this:

You start on the green square which tells you that you can jump forward either one or three squares. Here is the whole track:

You make your way round the track and finish on the red square with 'end' on it.

If you land on a square which has 2 and 3 on it, you can jump forward - or back - either 2 or 3 squares.

If the square has 2 and 0 on it, you can jump forward - or back - only 2 squares.

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

You can download a larger versionĀ here.

You can do this on your own or with a friend.

You can count your jumps by making a note on paper whenever you jump or by counting out twenty counters and taking one from the pile every move.

What is the least number of jumps you can make to get round the whole track?

Which squares do you need to land on?