Here’s the third one for you.

Morning Sarah and Erika, I have seen your answers, but you need to check them as they are not all accurate and you need to use RUCSAC.  I won’t post your comments until later, because I want to give other people the opportunity to have a go so that I can maximise the house points I’m giving out…

So, this photograph shows an investigative maths project that Sam (and I think Ethan) has/have done at home, in which he/they worked out the relationship between the circumference and diameter of a circle.  If you would like to have a go doing this, follow the instructions below.

1. Draw around at least 3 objects of varying sizes and then measure both the circumference and diameter of each one.  Top tips: using a piece of string will offer you flexibility when measuring the circumference. You will also notice from the photograph that Sam used blu tack to prevent the string wobbling around.
2. Now, divide the circumference of each object by the diameter of that same object.  You can use a calculator for this bit if you want.
3. Record your measurements and calculations in a table (look at the one below for ideas).
   

   Object	Circumference	Diameter	Circumference divided by diameter

4. What do you notice about the numbers in the last column, where you have divided the circumference of each circle by its diameter?
5. What is the average of all values in the last column?

I look forward to finding out how your investigations are going. Thanks for the idea Sam! 😉

A bat and ball cost £1.10.  If the bat costs £1 more than the ball, how much does the ball cost?  There may be a raffle ticket up for grabs…