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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?

Bucket of Water

Age 11 to 14 Short Challenge Level:

Lisa's bucket weighs 21 kg when full of water.
After she pours out half the water from the bucket it weighs 12 kg.
What is the weight of the empty bucket?

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.