### Homes

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?

### Number Squares

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?

### I'm Eight

Find a great variety of ways of asking questions which make 8.

# The Tomato and the Bean

##### Stage: 1 Challenge Level:

The solutions we had in, varied in the ways they were expressed.

We had many contributions from Crudgington Primary School in Shropshire, U.K.

Hannah
Firstly, I drew two pictures one of a tomato plant and one of the bean plant. Then I made myself a little chart like this ...

... and so on. As you can see that on the section where I worked out the bean plant's results the first number I wrote was how much the plant would need to increase in size. I found that this helped me a lot. Then I wrote the height of the plant and finally how many days it took for the plant to reach that height. I did this same method for the tomato plant until the height was the same. So the answer is: the height is $63$cm after $15$ days of growing.

Tom

First I looked at the information and saw that the bean plant grew only $1$cm after $10$ days! So I started from $10$ days. And after the bean plant grew $1$cm the tomato plant had already grown $38$cm. And then after each day the bean plant doubled its current size and the tomato plant grew $5$cm. So after $15$ days both plants are $63$cm.

From Curl Curl North School in New South Wales we had two answers that at first looked different but were just being expressed from a different point of view. Christopher, Ashton, Grace, Charlotte, Kaden, Ben, Kate, Charlie, Dylan, Josh, Matthew and Mitchell's team, said;

$6$ days from the time the bean was first measured.

And from Sean, Emma, Emily, Amelia, Ed and Stacey's team we had:

$5$ days because you count from when the bean was $3$ cm tall.

I wonder if they thought the other team had the wrong answer?