You may also like

problem icon

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?

problem icon

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?

problem icon

I'm Eight

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

The Tomato and the Bean

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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 ...

Han's

... 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?