Two Dots
1 out of 3
Place eight dots on this diagram, so that there are only two dots on each straight line and only two dots on each circle.
Problem
Place eight counters on this diagram, so that there are only two counters on each straight line and only two counters on each circle.
Getting Started
You could print off this sheet of the diagram and use counters.
Student Solutions
Josh (Ampthill, UK) explains:
In this you put two dots on each circle directly opposite each other and keep moving in towards the centre of the circle switching on to different lines.
For example:
How else could it be done?
Teachers' Resources
Using NRICH Tasks Richly describes ways in which teachers and learners can work with NRICH tasks in the classroom.
Why do this problem?
This problem is very accessible and is a good way of giving children confidence in working systematically.
Key questions
Possible extension
Those who finish very quickly could try this tougher problem which also uses counters.
Possible support
Print off this board for children to use with counters.