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## 'The Remainders Game' printed from http://nrich.maths.org/

This game follows on from

Remainders
The computer will think of a number between 1 and 100. Can you work out what it is?

Choose a divisor and the computer will give you some information about the number.

The fewer divisions you require, the more points you get:

If you guess correctly after

2 divisions - you gain 10 points

3 divisions - you gain 9 points

4 divisions - you gain 8 points

5 divisions - you gain 7 points

6 divisions - you gain 6 points

7 divisions - you gain 5 points

8 divisions - you gain 4 points

9 divisions - you gain 3 points

**If you guess wrong you lose 5 points, even if your guess satisfies the criteria, so don't guess until you are certain that there is only one possible answer.**
**Each division you carry out must provide new information - it must rule out some numbers. If you carry out unnecessary divisions you gain 0 points, even if your eventual guess is correct.**
If you would like some clarification of how these rules work, take a look at the examples

here.

How soon can you reach 100 points?

Challenge your friends to do better.

The interactivity at the bottom of this page can help you play the game, but eventually, try to play the game without the aid of the interactivity.

Full Screen Version
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**Please see http://nrich.maths.org/techhelp/#flash to enable it.**
You can use the interactivity below to help you play the game, but eventually, try to play the game without the aid of the interactivity.

You can print this

10 by 10 grid and use it to help you keep a record of your working as you narrow down the possibilities.

**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**