1. Take a blank sheet of paper and cut it to 6 equal rectangles
(2 length X 3 width)
on one of the sheets start counting in binary as follows:
0001 0010 0011 0100 0101 0110 ... obeying
the rules:
A. Use only the digits 0 and 1.
B. The next number in the sequence is obtained from the previous
number by moving from right to left until meeting the first 0 and changing
it to 1 and on the way changing all the 1's to 0's
Underneath each number write the corresponding decimal represenhtation
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Next pick four of the sheets of paper and number them (you can also
color them)
On the 1st sheet write all the numbers that have 1 in the 1st place.
One the 2nd sheet write all the numbers that have 1 in the 2nd place.
One the 3rdd sheet write all the numbers that have 1 in the 3rd place.
One the 4th sheet write all the numbers that have 1 in the 4th place.
Each sheet has a "secret" key number that is not marked in any special
way but is remembered. The key for sheet 1 is 2. For sheet 2 is 2*2=4 For
sheet 3 the key is 2*2*2=8 and the key for sheet 4 is 16.
key=1
key=2
key=3
key=4
Now comes the fun part. Ask a friend to pick guess a number from 1 to 16 and tell you on which sheet it is. You can then almost immediately know which number the friend picked by adding the keys on the corresponding sheets. For example: If they picked the number 11 which is on sheets 1,3 and 4 then the answer is indeed 1+4+8=11
After you play wiht it for a while you can create the next level game that will be based on the numbers from 1 to 32 and have five sheets and later maybe the next level:
