Can you design a new shape for the twenty-eight squares and arrange
the numbers in a logical way? What patterns do you notice?
In a square in which the houses are evenly spaced, numbers 3 and 10
are opposite each other. What is the smallest and what is the
largest possible number of houses in the square?
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
This solution was sent in by someone who
only gave us their initial "S":
1and 8 have only 2 and 7 next to them so I put them in the
middle then I put 2 and 7 in the furthest away from their
consecutive numbers. Then the next 2; 3 and 6 next to the numbers
jut 2 away from them. the other 2 are easy 5 at the bottem and 4 at
And here is an interesting way of approaching
the problem sent in by Timothy. Notice that Timothy has turned the
diagram on its side:
2 8 1 7
How I did this was I numbered the circles 1 to 8 like this :
5 8 7 2
The way that I learned to do this puzzle is for a start put the
numbers 1 and 8 in the middle circles. I then started by looking at
the circle numbers that were not together, then I started making
lists of the circle numbers that were not together, then I made
larger lists of the circle numbers, and then each list taught me
another step until I had all the pieces of information I needed.
then I made the correct list which was:
The top row are the circle numbers, and the bottom row are the
numbers which go into the circles.