Question 3

We
have always been fascinated by puzzles that use only the numbers 1 - 9 ,
and recently we discovered a slightly different one.
We
found a way in which to position the numbers 1 – 9 in a grid so that the
diagonals add to the same total.
Check
this example out if you think we are tricking you!
But we were also hoping to do this so that no two
consecutive numbers were next to each other, either vertically or
horizontally.
Part 1
Please tell us where our example breaks the second rule.
Part 2
What are the largest and smallest diagonal totals can be made in which no
two consecutive numbers are next to each other.
Part 3
Not more! There seem to be two diagonal totals that cannot be made without
breaking the consecutive number rule. What are they?
Ooops, we nearly forgot! If you click on
the diagram, you can open up an applet that will help you with this
investigation. When you have an arrangement of the numbers 1 - 9 that is
correct, you should:
- Hold down <Alt> and press the
<Print Screen> key. This lets you copy the screen and then you
can paste it into a Word document.
- Use the crop tool in Word which
allows you to remove the bits of the picture that you don't want.
- Then cut the diagram out of your
document (<Ctrl> + <X>) and go to the Paste Special menu
where you can paste it back again in .jpeg format. Otherwise your
files will get very large.