Place this "worm" on the 100 square and find the total of the four
squares it covers. Keeping its head in the same place, what other
totals can you make?
There are six numbers written in five different scripts. Can you
sort out which is which?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
The solution you get for this problem depends
on whether you start and end at the edge of the grid or not.
Georgina from Ruyton Girls School, Melbourne, Australia found a
route with a total of 124 which didn't end at the edge. She sent in
this diagram to show it:
When not allowed to use diagonals, Georgina
found a path with a total of 114:
When we could use diagonals we found two routes that added up to
125 and this was the highest amount that we could find. When we
weren't allowed to go diagonally the highest route that we found
was 115. First we highlighted the numbers 8 and 9 to show us where
to concentrate our route. Some of us highlighted the numbers 0-3 so
that we knew the areas to avoid. Next we began a route trying to
include as many high numbers as possible, whilst trying to bypass
the lower numbers. Once we had set our route we added up our
numbers - we checked these a maximum of four times to ensure our
answers were correct. We also found it important to check that we
had only used 16 numbers (We thought we had a really high answer
and then realised that we had used 18 squares).
A very clearly explained method. Unfortunately
we were not able to access the picture that they sent of their
route. Perhaps you can find the path they are describing?
Pupils (and staff!) at Gayhurst School in
Gerrards Cross have found a highest total of 126, in two different
ways. Here are their routes:
Well done to all who contributed!