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### Number and algebra

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# Fractional Triangles

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### Chocolate

### Four Triangles Puzzle

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
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What fraction of the design are the small squares?

How many sixths are there in a third?

You may like to print off this sheet for you to work on.

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?