T Puzzle

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10

Drag the four pieces of the T puzzle onto the outline to make the shape. Turn the pieces so that they fit together exactly, with no gaps and no overlaps.

Well done!

You have made the shape exactly – no gaps and no overlaps.

Drag the four pieces onto the grey outline. Click or tap a piece to select it, then use the Turn left and Turn right buttons to rotate it through 45° (or double-click the piece). The Flip over button turns the selected piece over. When the outline is covered exactly, with no gaps and no overlaps, the Claim Your Trophy button will appear.

Keyboard users can press Tab to move between the pieces, the arrow keys to nudge the selected piece, R to turn it and F to flip it over.

As you make each shape you could take a screen grab (use the Snipping Tool in Windows or take a screen shot if using an iPad or similar) to keep a record of your findings.

The T puzzle first appeared around 1900, when it was often given away as an advertising novelty. This is the asymmetric T version, though there are other versions with slightly different measurements.

In this version the four pieces start off arranged to make the letter T, but originally that was the puzzle: to make the letter T from the four jumbled pieces.

As there are only four pieces you might think that making the T is very simple. However studies have shown that few people are able to solve it in under five minutes, with most people needing more than half an hour. Many people assume that the puzzle is impossible to solve.

The main difficulty in making the T is overcoming the instinct to put the pentagonal piece either horizontally or vertically and, related to this, the tendency to try to fill up the notch of the pentagon. In one study participants were found to spend over 60% of their attempts on such misguided placements of the pentagonal piece.

Have you tried the Tangram Template or Tangram Table activities yet?

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.

 

 

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.

Suggested

Tangram Template

Tangram Template

An online challenge to use all the pieces of the tangram puzzle to fit into the outlines provided.

The short web address is:
Transum.org/go/?Num=416

Suggested

Tangram Table

Tangram Table

Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible.

The short web address is:
Transum.org/go/?Num=413

Suggested

Tangram Challenge

Tangram Challenge

A series of tangram challenges in increasing order of difficulty. This page is designed to be projected onto a screen for a whole class to see.

The short web address is:
Transum.org/go/?Num=665

Suggested

Polygon Pieces

Polygon Pieces

Arrange the nine pieces of the puzzle on the grid to make different polygons.

The short web address is:
Transum.org/go/?Num=458

Suggested

Pentominoes

Pentominoes

Arrange the twelve pentominoes in the outline of a rectangle.

The short web address is:
Transum.org/go/?Num=523

Suggested

Shapes In The Stars

Shapes In The Stars

Join up the stars to find the hidden regular polygons.

The short web address is:
Transum.org/go/?Num=431

John Martin's T puzzle

John Martin's Book, A magazine for little children (New York: John Martin's House) October 1913.

Transum.org is a proud supporter of the kidSAFE Seal Program