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?
Lydia from Rickling C of E Primary made a
fantastic start to this problem. She told us:
Well done Lydia - this is a very helpful way
to picture it. Are there any other cubes directly underneath cube
Tommy from Brede School also had a really good
go at this problem. Tommy agreed with Lydia that cube 10 is
directly beneath cube 1, but he didn't look to see whether there
were any more cubes underneath them either. Tommy went on to
I wonder whether there are any other cubes
underneath these? Have a think!
Thank you very much for your solution, Tommy.
I wonder how you worked out these answers?
Did anyone try the very last part where the
cubes were numbered differently? If you have a go at this, then do
let us know.