Cut and Change

Can you cut up an old playing card to make a hole big enough to walk through?

(Image courtesy of Alice Gilderdale.)

 Share your thoughts and discoveries

Can you cut out the seven shapes below and rearrange them to make new shapes?

A tangram is based on a square cut into seven pieces:

Try making these shapes with all seven tangram pieces:

Square

Rectangle

Triangle

Parallelogram

Trapezium

Pentagon

Hexagon

You can download, print off and cut up the pieces from this sheet.

 Share your thoughts and discoveries

You will need twenty right-angled triangles for this challenge:

The shortest side of each triangle is 4cm and the side at right angles to it measures 8cm.

You can download a template of the triangles to cut up here.

Can you make a square using all the triangles?

 Share your thoughts and discoveries

Want to see how someone else got started?

I took a piece of A4 paper and folded it in half like this:

Then I made four cuts.

I opened up the piece of paper.

Here is the loop of paper that I'd made:

Can you cut out these seven shapes and rearrange them to make new shapes?

Where did I cut the paper?