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Make a cube out of straws and have a go at this practical challenge.

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Reasoning about the number of matches needed to build squares that share their sides.

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Tangram Paradox

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!


Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

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.