Tetrominoes Puzzle 1 Puzzle 2 Puzzle 3 Puzzle 4 Description Tangrams More Puzzles

Drag the pentominoes onto the rectangle so that they fit together without leaving any space.


Description of Levels



Level 1 - Arrange the 12 pentominoes on a 3 by 20 rectangle

Level 2 - Arrange the 12 pentominoes on a 4 by 15 rectangle

Level 3 - Arrange the 12 pentominoes on a 5 by 12 rectangle

Level 4 - Arrange the 12 pentominoes on a 6 by 10 rectangle

You can also try the Tetrominoes puzzles.

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 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Featured Activity

Tower of Hanoi

Tower of Hanoi

Move the pieces of the tower from one place to another in the minimum number of moves. This puzzle was invented in 1883 but is still as captivating today as it was all those years ago.


"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

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 main page links to more activities designed for students in upper Secondary/High school.


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:

Felton Davis,

Sunday, October 29, 2017

"The work of a lifetime for an amateur programmer to compile a complete of solutions to the 12-piece puzzle known as either the Hex Puzzle, or more formerly as Pentominoes.
A small picture of each of the 2339 solutions is posted on Flickr.

[Transum: Very impressive Felton. I can't begin to imagine the complexity of the algorithm you created to produce that result. Well done.]"

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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