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Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.

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Isosceles Triangles

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

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Eight Hidden Squares

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Route to Infinity

Age 11 to 14 Challenge Level:

Take some time to look at the route followed by the arrows in this diagram.
Then look away and describe the path to a friend.


If the pattern of arrows continues for ever, which point will the route visit immediately after (18,17)? Explain how you know.

How many points will be visited before the route reaches the point (9,4)?
Explain how you worked it out.

Which point will be the $1000^{th}$ to be visited?

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