Transum Software

Tangram Christmas Tree

Accurately construct a tangram puzzle then use it to make a Christmas tree and answer a short quiz.

Holly Holly

You will need a square piece of paper. Thick Christmas wrapping paper is perfect!

Follow the instructions to make a tangram and then use it to create a Christmas tree.

Tangram Christmas Tree

You can decide whether or not overlapping pieces are allowed.

Tangram Christmas Tree

Your tree must be symmetrical.

When you have finished there will be a short quiz about your tangram tree.



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.



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.



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.



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.



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

Your tangram is now ready to be cot out.

How many of your tangram pieces are polygons? Correct Wrong
How many of the pieces have at least one line of symmetry? Correct Wrong
The largest triangles are similar to the smallest triangle. How many times bigger are the sides of the larger triangles than the corresponding sides of the small triangle? Correct Wrong
How many times bigger is the area of one of the larger triangles than the area of the small triangle? Correct Wrong
How many of the pieces have an interior angle sum of 360°? Correct Wrong

Use your tangram pieces to do the activity called Tangram Table.

Race against your classmates with Tangram Challenge.

You could also try some other Christmaths Activities.


Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School:

"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."

Comment recorded on the i asp?ID_Top 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.


If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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.


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Description of Levels



Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up