Copyright © University of Cambridge. All rights reserved.

## 'Tug of War' printed from http://nrich.maths.org/

Here is a game for **two** players - **OR** you could play here on the computer;

Full screen version
**OR**

you could use a counter and draw a number line on paper like this,

**Notes for adults**

HOW TO PLAY

One player is called "PLUS"

The other is called "MINUS" so decide who is who.

Plus moves from left to right and Minus moves from right to left. (The children may be encouraged to think about why that might be.)

Take it in turns to throw the two dice and add up the numbers on the two dice.

Move that number of places in your direction.

If the counter reaches $1$, Minus has won and so, of course if the counter reaches $27$, Plus has won.

TO THINK ABOUT

You might think about whether you have to land exactly at $1$ or $27$ or allowed to end up beyond those points. I wonder what difference it will make if you are allowed to go beyond rather than landing exactly on the end numbers?Once you have got used to the game, you might like to make some changes. You can decide.

NOW

(Perhaps you might have one counter each and see who gets to their end first, perhaps you might find the difference between the two numbers on the dice, perhaps you might use three dice, perhaps you might use one die and a shorter line.)

When you've changed the rules you can talk about whether your change makes the game better to play.