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Can you work out how many of each kind of pencil this student bought?

Squaring the Circle

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make an estimate.

Where Am I?

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?


Age 11 to 14 Short Challenge Level:

Which of the following numbers could replace $x$ so that the value of $\frac{x}{5}$ lies between 3 and 4?
$$ 3.2 \qquad \qquad 14 \qquad \qquad 19$$

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.