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BMAT 2010 · Question 18 · Spatial

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The Rimmer Club is named after the character from the cult TV series "Red Dwarf" who has the letter H on his forehead. Tonight is the Rimmer Club's annual dinner. Rory has been given the task of making place cards. He has decided to make the cards in the form of a letter H, with dimensions as shown below:

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He has a number of rectangular sheets of white card, measuring 33cm by 24cm from which to make the cards. What is the maximum possible number of cards that Rory can make from one sheet of card?