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The Lily Pond

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?

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A Cartesian Puzzle

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

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Transformation Tease

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?

Coordinate Tan

Age 7 to 11 Challenge Level:

Remember that the origin is $(0,0)$. Watch out for negative coordinates! When you change the origin, look carefully at each old point compared with its new position. Ask yourself:

  • What has happened to the $x$ coordinate?
  • What has happened to the $y$ coordinate?