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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Sports Equipment

## You may also like

### Quad Match

### Shaping It

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 7 to 11

Challenge Level

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

as well as some others!

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

Here is a scale drawing of the 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?

A task which depends on members of the group noticing the needs of others and responding.

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.