If I use 12 green tiles to represent my lawn, how many different
ways could I arrange them? How many border tiles would I need each
Can you put these shapes in order of size? Start with the smallest.
I cut this square into two different shapes. What can you say about
the relationship between them?
This problem was well answered - thank you to
all who sent us solutions. Most of you explained that you worked
out the size of each piece of wallpaper by counting the number of
stars and spots. Jamie from Great Sankey High School decided to
show this in a table. He said:
(In fact, Jamie ordered them from largest to
smallest in his solution, but I've changed them intosmallest to
largest in the table so that it matches the question.) So, Jamie
concluded, that from smallest to largest the shapes were: E, F, G,
B, A, C, D.
Rowena from Christ Church Infants also
recorded her results in a table - a good idea. Some of you didn't
agree exactly with Jamie's final order, but it depended on how you
counted the stars and spots. Jack from Hitchin Boys' School
It wasn't always easy to decide when a shape
was half and when it was less or more than half was it?