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Can you make five differently sized squares from the tangram pieces?

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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

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Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Complete the Square

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Jamie from Great Hilton High School sent in some pictures of his solutions. He says

When trying to make a square, there are 2 rules to follow, which are:
1. All the sides need to be the same size.
2. There must be 4 perpendicular angles (or right angles).

To complete the squares, see how many grid squares 1 line takes up and rotate the line 90 degrees. Keep doing this until you get a full square.

Solution for first squareSolution for second square
Solution for third squareSolution for fourth square
Solution for fifth square