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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?

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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?

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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?


Stage: 3 Short Challenge Level: Challenge Level:1

$87$ Bordeaux      
$79$ $47$ Langon    
$61$ $31$ $54$ Libourne  
$58$ $84$ $37$ $65$ Marmande

The table shows the distance (in $\text{km}$) between five towns in southern France. Five friends live in these five towns and want to meet. In which of these towns should they meet to keep the total travelling distance as small as possible?


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.
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