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What is the angle QPT in this diagram?

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Long Shadows

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If you know how long Meg's shadow is, can you work out how long the shadow is when she stands on her brother's shoulders?

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Ice Cream Pie

The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?

Right-angled Request

Age 11 to 14 Short Challenge Level:

The figure shows a rectangle PRSU with a line QT, which divides the rectangle into two squares.
How many right-angle triangles can be drawn using any three points P, Q, R, S, T, U as corners?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.