### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Farey Sequences

There are lots of ideas to explore in these sequences of ordered fractions.

# Angle Hunt

##### Age 11 to 14 Short Challenge Level:

In the diagram, $QSR$ is a straight line, $\angle QPS = 12^{\circ}$ and $PQ=PS=RS$.
What is the size of $\angle QPR$?

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.