### Hockey

After some matches were played, most of the information in the table containing the results of the games was accidentally deleted. What was the score in each match played?

### Friday 13th

This month there is a Friday the thirteenth and this year there are three. Can you explain why every year must contain at least one Friday the thirteenth?

### Christmas Trees

Christmas trees are planted in a rectangular array of 10 rows and 12 columns. The farmer chooses the shortest tree in each of the columns... the tallest tree from each of the rows ... Which is the taller tree, A or B?

# Rendezvous

##### Stage: 3 Short Challenge Level:
If the friends meet in Bergerac, the total distance travelled will be $$87+79+61+58 \; \text{km} = 285\; \text{km}$$
If the friends meet in Bordeux, the total distance travelled will be $$87+47+31+84 \; \text{km} = 249\; \text{km}$$
If the friends meet in Langon, the total distance travelled will be $$79+47+54+37 \; \text{km}=217\; \text{km}$$
If the friends meet in Libourne, the total distance travelled will be $$61+31+54+65 \; \text{km}=211\; \text{km}$$
If the friends meet in Marmande, the total distance travelled will be$$58+84+37+65 \; \text{km}=244\; \text{km}$$
So the friends should meet in Libourne.

This problem is taken from the UKMT Mathematical Challenges.