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 into smallest 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 said: