The Remainders Game

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

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If you haven't already seen Remainders, it would be worth trying that task before playing this game.

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 identify the number correctly after

1 or 2 divisions - you gain 12 points
3 divisions - you gain 11 points

4 divisions - you gain 9 points

5 divisions - you gain 6 points

6 divisions - you gain 3 points

7 or more divisions - you gain 1 point

If you guess wrongly you lose 15 points, even if your guess satisfies all the criteria.

How soon can you reach 100 points?
Challenge your friends to do better.

The modulator will help you play the game, but eventually, try to play the game without it.

Click on the purple cog to open the settings menu and change the level of the game:

In Level 1 the chosen number will be from 1 to 60 inclusive and you can divide by each of the numbers from 1 to 10.
In Level 2 (the default setting), the chosen number will be from 1 to 100 inclusive and you can divide by each of the numbers from 2 to 10.
In Level 3 the chosen number will be from 1 to 100 inclusive and you can only divide by a selection of the numbers from 1 to 10.