This activity is designed to be accessible to primary school pupils at Key Stage 2.

Detailed teachers' notes giving ideas on how to introduce this activity in the classroom are available on our NRICH website.



Sports Equipment

Stage: 2 Challenge Level: Challenge Level:1

I've collected together lots of different balls that are used in various sports:
 

 
 balls

Here are the standard diameters of the different types of ball: 

 
 info 3

Here is a scale drawing I've done of the balls: 


balls
 
You might like to find a few different balls at school to get a feel for their different sizes before trying this challenge.
 
Try using the diameter information to make circles the right size and use them to explore.
 
If a line is drawn on the ground and the balls are put on that line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
 
Which arrangement makes the longest line of balls?


 

Further information

If you're finding hard to get started, try looking at this hint.

Detailed teachers' notes giving ideas on how to introduce this activity in the classroom are available on our NRICH website, where you can also find thousands more mathematical resources including problems, investigations and games for all ages from 5 to 19..