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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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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

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There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

Weekly Problem 43 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1
It is clear that there is a unique way to complete the top three rows, as shown (start in the second square of the third row). Thereafter it is possible to complete the fourth row with R and S alternating and the fifth row QPQPQ.
 
 
 
 

This problem is taken from the UKMT Mathematical Challenges.

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