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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