There is some amazing information about numbers.
Write down a three digit number, in which all the digits are different, such as 635.
Write down all the possible two digit numbers you can make from the three digit number and then add them together:
63+65+35+56+53+36=308
Note: You should always have six possibilities.
Then add the digits in the original number:
6+3+5=14
Then divide the sum of the two digit numbers (308) by the sum of the digits in the original number (14):
308/14=22
Repeat the process with two other three digit number, in which all the digits are different. What did you find?
What happens if you only use odd numbers or even numbers in the three digit number?
What happens if the digits are repeated eg 363?
Download Investigation Sheet. (Microsoft Word Document-79KB)
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