You may also like

problem icon

I'm Eight

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

problem icon

Noah

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

problem icon

Magic Plant

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

Sitting Round the Party Tables

Stage: 1 and 2 Challenge Level: Challenge Level:1

So, you are at the party and sitting round the table with seven friends.

 8 roundSq
At the top left hand corner is the friend who is giving the party. S/he has a bag of sweets and starts giving them out in a clockwise direction: one for her/himself, two for the next person and three for the next and so on.
8 sweets
There are other similar parties going on at the same time. They have bigger square tables with more children sitting round on each side.
 
Explore and compare all the tables:  $2$ on each side, $3$ on each side, $4$ on each side and $5$ on each side.
 
You could look at:
the total number of sweets that children sitting opposite each other have;
the total number of sweets needed for each size of table;
the total number of sweets belonging to children who are diagonally opposite.
 
Then, what about  five- and six-sided tables?
5 sides6 sides