# Pentominoes

##### TetrominoesPuzzle 1Puzzle 2Puzzle 3Puzzle 4DescriptionTangramsMore Puzzles

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

## Description of Levels

Close

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.

## Transum.org

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.

## More Activities:

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 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

#### Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

## Numeracy

"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.

## Teachers

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, DavisFelton3@Yahoo.com

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.]"

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