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# Cut and Make

Thank you to Meg for sending us these great diagrams! Did you make the shapes in the same way?

Here is a diagram showing how the original square should be cut.

These pieces can be arranged to make a triangle like this:

The parallelogram can be made like this:

The square can be made as shown in the first diagram.

Well done Meg!

From Class 2GW, at the Bavarian International School, the teacher sent in the following:

They really enjoyed the Cut and Make activity this week. Although the challenge was to make a triangle, parallelogram and square, after a few minutes Jack discovered that you could make a trapezium with the three triangles. A bit later Ella discovered that she could make a rectangle. They were excited when they discovered that these weren't included in the solutions so far.

As an extra challenge, we tried to make a kite. Zoe discovered that you could only make one if you didn't cut the original square. Instead, she used the first diagonal fold line to fold in the other two corners too. So it became more of an origami kite.

Thank you for that excellent work BIS. Why not try some more of the challenges?

If you enjoyed this puzzle, you might like to look at some of the Tangram puzzles on this site, for example Tangram or Tangrams - World of Tan.

Or search by topic

Age 7 to 11

Challenge Level

- Problem
- Student Solutions
- Teachers' Resources

Thank you to Meg for sending us these great diagrams! Did you make the shapes in the same way?

Here is a diagram showing how the original square should be cut.

These pieces can be arranged to make a triangle like this:

The parallelogram can be made like this:

The square can be made as shown in the first diagram.

Well done Meg!

From Class 2GW, at the Bavarian International School, the teacher sent in the following:

They really enjoyed the Cut and Make activity this week. Although the challenge was to make a triangle, parallelogram and square, after a few minutes Jack discovered that you could make a trapezium with the three triangles. A bit later Ella discovered that she could make a rectangle. They were excited when they discovered that these weren't included in the solutions so far.

As an extra challenge, we tried to make a kite. Zoe discovered that you could only make one if you didn't cut the original square. Instead, she used the first diagonal fold line to fold in the other two corners too. So it became more of an origami kite.

Thank you for that excellent work BIS. Why not try some more of the challenges?

If you enjoyed this puzzle, you might like to look at some of the Tangram puzzles on this site, for example Tangram or Tangrams - World of Tan.