Schools Mathematics Grand Challenge

Week three's Puzzles

Problem 5:

There are ten teams in a football league. Each team plays every other team twice, once at home and once away. How many matches are played in total during the season?

(Be careful that you do not count the same match twice!!)

Problem 6:

Julie and Michael both have some money and each of them wants to buy a chocolate bar. However, Julie is 2 cents short of the price of the bar while Michael is 18 cents short (of the price of the same bar). They decide to pool their resources and find that even when they combine their money, they still do not have enough money for the bar. How much does the chocolate bar cost?

(Remember, both of them have SOME money so that each of them has at least one cent.)

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