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Latin Numbers printable worksheet
Here is an example of a 4 by 4 Latin square:
Can you see what is going on?
In the grid below, N is a 6 digit number with a very special property:
if you double the number and write it in the second row,
treble the number and write it in the third row,
and so on...
you end up with a Latin Square!
N: | ||||||
---|---|---|---|---|---|---|
2N: | ||||||
3N: | ||||||
4N: | ||||||
5N: | ||||||
6N: |
Can you find the six digit number N?
If you're finding it difficult to get started, click below to see a diagram showing one possible order in which you can work out each value.
1st | |||||
3rd | 4th | 5th | 2nd | ||
Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.
a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?