### Weekly Problem 5 - 2012

Weekly Problem 5 - 2012

### Weekly Problem 34 - 2013

Weekly Problem 34 - 2013

### Weekly Problem 11 - 2011

Kanga hops ten times in one of four directions. At how many different points can he end up?

# Weekly Problem 33 - 2009

##### Stage: 3 Short Challenge Level:

We are given:

We want to find the bearing of the School from the Church, which is the green angle marked on the diagram. We can use the fact that the angles in a triangle sum to $180^\circ$ to mark in some other angles

We know the triangle linkingthe three buildings is isosceles, so the two missing angles are equal, so are both $30^\circ$.So:

So the green angle is $180^\circ+30^\circ = 210^\circ$, so the bearing of the School from the Church is $210$.

This problem is taken from the UKMT Mathematical Challenges.

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