Maths Challenge: Six in a circle

Apologies for the lack of posts on the blog in the last few weeks. Thank you to those who have found us some greetings in other languages. Meanwhile, here's a challenge for you to think about.


A class of 30 children were numbered from 1 to 30. Here are some of the class:

Their teacher set out a ring of 6 chairs.

Child number 1 sat on the first chair, child number 2 on the second chair, child number 3 on the third and so on going round the circle, up to child number 6. The teacher then asked child number7 to stand behind child 1, child 8 to stand behind number 2 etc. They continued this pattern until all the children were either sitting on a chair, or standing behind one.

Questions:

1) How many people were standing behind each chair?

2) Which child numbers were standing behind child number 3?

You have until Thursday 9th February to post your answers below. I will publish all the answers on that date.
 Make sure you say who you are!

Enjoy,

Mr Bertenshaw