Holiday Puzzles 2009

 1. AT SIXES AND SEVENS Write 2009 using six 7's. You may use as many ofthe arithmetic symbols + – × ÷ ^ ( ) as you like.

 2. DELIVERY ROUTE Help the post office deliver holiday presents in this small town. Start atthe post office (shown in red below), visit each intersection exactly once,and return to the post office without using any road more than once.

 3. HOLIDAY ANAGRAM Make 4 words by rearranging the letters in the words:CHANUKAH  SOLSTICE  KWANZAAA type of nut: _ _ _ _ _ _ _ _Something you might carry several of those nuts in: _ _ _ _A type of tree: _ _ _Something you might use to cut down that tree: _ _ _ _ _ _ _ _

 4. DIVIDING LEFTOVERS At the end of a holiday dinner, there are 3 pies to be dividedequally among 5 guests. One way to do this is to cut each pie into 5 equal pieces, and give each guest 3 pieces. This wouldmake the smallest piece of pie 1⁄5. Find a way to divide the piesequally among the guests so that the smallest piece of pie is 1⁄4.

 5. SANTA'S HELPER In the alphametic below, each letter stands for a different digit.Determine which digit each letter represents so that the sum is true.