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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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Route to Infinity

Can you describe this route to infinity? Where will the arrows take you next?

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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?

Lost

Stage: 3 Challenge Level: Challenge Level:1

Try to decide which places are good for first guesses.
Once you've got feedback on your first guess identify all the possible places where the giraffe could be. What pattern does this make?
Have another guess.
Use the feedback to identify all the possible places where the giraffe could be.
Now use the feedback from both guesses to find some overlapping points.
Continue in the same way...