# Tangram Challenge

## Who can be the first to make ...

... a triangle from 2 pieces?

... a parallelogram from 2 pieces?

... a rectangle from 2 pieces?

... a trapezium from 2 pieces?

... a pentagon from 2 pieces?

... a parallelogram from 3 pieces?

... a rectangle from 3 pieces?

... a triangle from 3 pieces?

... a trapezium from 3 pieces?

... a pentagon from 3 pieces?

... a parallelogram from 4 pieces?

... a triangle from 4 pieces?

... a trapezium from 4 pieces?

... a rectangle from 4 pieces?

... a pentagon from 4 pieces?

... a triangle from 5 pieces?

... a rectangle from 5 pieces?

... a rectangle from 6 pieces?

... a parallelogram from 5 pieces?

... a parallelogram from 6 pieces?

... a pentagon from 5 pieces?

... a pentagon from 6 pieces?

... a triangle from 7 pieces?

... a rectangle from 7 pieces?

... a trapezium from 5 pieces?

... a trapezium from 6 pieces?

... a trapezium from 7 pieces?

... a parallelogram from 7 pieces?

... a pentagon from 7 pieces?

... a star from 7 pieces?

This is a test of speed designed as a fun, whole-class activity. Pupils can use a paper tangram (see instructions below) or, if they have access to computers, could use the click-and-drag tangram below. Hold down the shift key [or shift] while you drag to rotate the pieces.

Here are the instructions for creating your own trangram from a square piece of card.

## 1

Using a pencil and ruler draw a diagonal line from the top right to bottom left corners of your square.

Take your time and be as accurate as possible.

## 2

Measure the lengths of a side of your square to the nearest milimetre.

Halve this measurement to find the mid points of the right and bottom sides.

Join these two points with a straingt line.

## 3

Place you ruler on the square as if you are going to draw the other diagonal.

Draw the line along your ruler from the top left point of the square until you reach the line you drew in instruction 2.

## 4

Draw a line parallel to the line you drew in instruction 2 that passes through the midpoint of the right side of the square as shown in the diagram.

You clould use a set square to help you draw parallel lines.

## 5

Draw a line parallel to the bottom of the square as shown to complete the tangram.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

There are solutions with diagrams to this puzzle but they are only available to those who have a Transum Subscription.

Don't forget to try Tangram Template and Tangram Table.

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