problem

### The square under the hypotenuse

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

problem
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The square under the hypotenuse

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

problem
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Kite in a Square

Can you make sense of the three methods to work out what fraction of the total area is shaded?

problem
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Which is bigger?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

problem
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Which is cheaper?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

problem
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Painting between the lines

In abstract and computer generated art, a real object can be
represented by a simplified set of lines. Can you create a picture
using mathematical instructions?

problem
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Coordinate Designs

This task requires learners to explain and help others, asking and answering questions.

problem
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How steep is the slope?

On the grid provided, we can draw lines with different gradients.
How many different gradients can you find? Can you arrange them in
order of steepness?