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Weekly Problem 9 - 2012
What is the angle QPT in this diagram?

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?

Ice Cream Pie

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

Forming Groups

Age 11 to 14 Short
Challenge Level

Seventy pupils (37 boys and 33 girls) are divided into two groups, with 40 pupils in Group 1 and 30 pupils in Group 2.

What is the difference between the number of boys in Group 1 and the number of girls in Group 2?

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.