Math Challenge Problems


 Grade 4 Continental Math League
January 04 – 08, 2016

1.     If 7x’s = 3y’s and 5y’s = 1z, then how many x’s = 3z’s?

                                   
2.     One piece of candy from a machine costs 20¢. The machine only takes nickels and dimes. TO the machine, a nickel followed by a dime is different than a dime followed by a nickel. How many different ways can you pay for the 20¢ piece of candy?


3.     Twelve years ago, Mr. Reese was 15 years older than his son is now. If the son is now 10 years old, how old is Mr. Reese now?
        
                 
4.     Tennis balls come in packages of 3 balls and 7 balls. If you want to buy 16 tennis balls, you would buy a package of  7 tennis balls and three packages of 3 tennis balls (7+9=16). You don’t have to break any packages to buy the 16 tennis balls. However, there is a number of tennis balls between 9 and 20 where you have to break packages to buy that number of tennis balls. What is that number?


5.     A full crate of apples weighed 230 pounds. After 4/5 of the apples were sold, the remaining apples and crate weighed 90 pounds. What is the weight of the crate when empty?





Challenge Problem

Mrs. Ramos was driving her car at 40 mph. How many miles did she drive in 15 minutes?



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