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Which of these roads will satisfy a Munchkin builder?

For Richer for Poorer

Charlie has moved between countries and the average income of both has increased. How can this be so?

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In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?


Age 7 to 16
Challenge Level

Look at this image for a short while before turning away.
Can you:

  • Recreate the image?
  • Describe the image?
  • Say some mathematical things about what you notice?
  • Think of some mathematical questions you would like to ask about it?

Here is a pdf document containing the image.

Baravelle Spiral

This image is taken from the NRICH Mathematics Posters CD called "Exploring Squares" published by Virtual Image. More details of this and the "Exploring Circles" CD can be foundhere.