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Tangram Tangle

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

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Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Tessellate the Triominoes

Stage: 1 Challenge Level: Challenge Level:1

We received solutions to this problem from Nisarg, Kim and Grace. (Grace goes to Stradbroke Primary School.) Kim said:

I knew I could tessellate the first box because the number of squares in it were divisible by three. I divided by three because the triomino was made of three boxes.
I knew I could not tessellate the second box because it was not divisible by three.

Here is a picture of the solution (you can still see how it is made, even though the "well done" message covers some of it up!):



solution

Nisarg wrote a similar explanation about why you could fit the trionimoes into the first box but not the second.

Is it only about the number of squares in the box being a multiple of $3$?

Could you fit the trionimoes into the box below?


6 by 1 rectangular grid

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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