Buzzy Bee was building a honeycomb. She decided to decorate the
honeycomb with a pattern using numbers. Can you discover Buzzy's
pattern and fill in the empty cells for her?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Can you work out the domino pieces which would go in the middle in
each case to complete the pattern of these eight sets of 3
We had a couple of very full solutions to this problem. Jack and Alex from Woodfall Junior School wrote:
The biggest robot you can make is 22cm using 6cm head 8cm body and 8cm
The smallest robot you can make is 14cm using 3cm head 5cm body and 6cm
The bits that are left over using 4cm head 7cm body and 7cm legs that
They went on to say:
We tried to use a systematic order to make sure we found all 27 monsters.
We found all the monsters with 3cm heads first, then 6cm, then 4cm. We did
the same with the bodies and legs.
Ruth from Swanborne House School commented:
There are 9 possible monster heights between 14cm and 22cm
(14/15/16/17/18/19/20/21/22). To prove that you could make all of them we
drew a diagram of all the possible combinations, starting from the three
heads. We found that once we had drawn the
first head + body and leg combination for the 3cm head, we could work out
the other combinations for the 3cm head quite easily, because only the
body measurement varied. Then we found it was easy to adjust from this to
the other two heads, and we didn't need to do the full diagram.
Here is the diagram that Ruth sent:
Two very good ways of solving this problem - well done!