There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Start with four numbers at the corners of a square and put the
total of two corners in the middle of that side. Keep going... Can
you estimate what the size of the last four numbers will be?
Find a great variety of ways of asking questions which make 8.
Josh of Alameda Middle School, Ampthill, Beds
sends the following solution:
There are five hens.
I got this answer because H + S = 8 and 2H + 4S = 22. Times the
first equation by two gives 2H + 2S = 16. Take this away from the
second equation gives 2S = 6. So S = 3. That is the number of
sheep. If there are 3 sheep, taking 3 from eight means there must
be 5 hens.
There are 5 hens and 3 sheep. I did this by saying 4x4 sheep is
16, then added four hens, which made 24, so if I took away a sheep,
and added a hen, I would have 22 feet!'
From Linda and Rosie in Paisley:
Here is our answer and how we got it:
3 sheep and 5 hens
We worked out different ways to make 8 and started with 4+4. We
found that this gave us too high an answer for the legs, so we
decided to cut down on the number of sheep. We then tried 3 sheep
and 5 hens and got the solution.'