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### Number and algebra

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# Eight Hidden Squares

It would probably help to print out the problem or useĀ this sheet.

Don't forget that some squares may be tilted!

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Age 7 to 14

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

It would probably help to print out the problem or useĀ this sheet.

Don't forget that some squares may be tilted!

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?