You may also like

problem icon

The Pet Graph

Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?

problem icon

You Never Get a Six

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

problem icon

Presenting the Project

Have a look at all the information Class 5 have collected about themselves. Can you find out whose birthday it is today?

How Big Are Classes 5, 6 and 7?

Stage: 2 Challenge Level: Challenge Level:1

Mikey from Archibishop of York C of E Junior School thought hard about this problem. He says:

Using the bar graph for class $4$ gives $36$ pupils but this allows several possible answers:
$5\times4 + 4\times4 = 36$ but so does
$6\times4 + 3\times4$,
$7\times4 + 2\times4$,
$8\times4 + 1\times4$.
All these are the same as $9\times4$. We know big plus small must equal $9$ but not the split from the info given. Maybe if Katie and Charlene had done classes $1$ to $3$ as well we would have been able to work it out.

Well done, Mikey for seeing that there are several possible solutions - not many of you realised this. What answers are possible then? Might some be more likely than others do you think?

Lizzi from Bampton C of E Primary School wrote:

By looking at the amount of pupils in class $4$ on the bar graph, you can tell that the big people on the graph equal $6$ and the little people equal $3$ people, so therefore there are $42$ people in class $7$, $39$ people in class $6$ and $30$ people in class $5$ which equals $111$ pupils.

This is certainly one of the possibilities. Freddie from Whitehall Primary School calculated another one:

Big people = $7$
Small people = $2$
Year 5 = $35$ Year 6 = $38$ Year 7 = $40$
Total = $113$

Joshua from BMGS suggests:

... for each big figure it was $8$ and for each small one it was $1$. Then it was a simple solution of adding up all of years $5, 6$ and $7$. The total answer was $115$.

We are still left without the solution for a big stickman representing $5$ children and a small stickman representing $4$ children, but thank you for all your contributions .